FULL LIST OF PUBLICATIONS OF
GEORGE JAIANI
(Other transcriptions: Dzhaiani, Dzaiani)
Papers
1.
Some Questions Connected with Spherical Functions, Collection
of Students Scientific Works, Tbilisi State University, X, 13-18, 1970 (coauthor Z. Siradze, in Russian)
2.
On the Deflections of Thin Wedge-shaped Shells, Bulletin of the
Academy of Sciences of the Georgian SSR, 65
(3), 543-546, 1972 (in Russian, Georgian and English summaries)
3.
On One Problem of an Elastic Wedge-shaped Body, Bulletin of the
Academy of Sciences of the Georgian SSR, 70
(3), 557-560, 1973 (in Russian, Georgian and English summaries)
4.
On One Problem for the Fourth Order Degenerate Equation, Bulletin
of the Academy of Sciences of the Georgian SSR, 75 (1), 17-20, 1974 (in Russian, Georgian and English summaries)
5.
On a Wedge-shaped Body Arbitrary Loaded Along the Cusped Edge,
Bulletin of the Academy of Sciences of the Georgian SSR, 75 (2), 309-312, 1974 (in Russian, Georgian and English summaries)
6.
Arbitrary Loaded Elastic Half-plane Whose Young's Modulus is
Power Function of Depth, Materials of the I All-union School in Theory and Numerical
Methods in Shell and Plate Theory, Tbilisi University Press, 351-361, 1975 (in Russian)
7.
On a Wedge-shaped Shell, Proceedings of X All-union Conference
in Shell and Plate Theory, Tbilisi: "Metsniereba", 94-101, 1975 (in Russian)
8.
Cylindrical Bending of a Rectangular Plate with Power Law Changing
Stiffness, Proceedings of Conference of Young Scientists in Mathematics, Tbilisi
University Press, 49-52, 1976 (in Russian)
9.
Riquier Problems with Weight for a Fourth Order Degenerate Equation,
Dokl., Akad. Nauk SSSR, 231 (6), 1285-1288,
1976 (in Russian)
10.
Riquier Problems with Weight for a Certain Degenerate Equation
of Fourth Order, Soviet Math. Dokl., 17 (6),
1715- 1719, 1976
11.
A Generalization of the Poisson Formula in Case of a Half-plane
for a Degenerate Equation of Even Order, Dokl. Akad.Nauk SSSR, 235 (6), 1245-1248, 1977 (in Russian)
12.
A Generalization of the Half-plane Poisson Formula for a Degenerate
Equation of Even Order, Soviet Math.Dokl. 18
(4), 1132-1135, 1977
13.
Bending of a Plate with Power Law Changing Stiffness, Annuaire
Des Ecoles Superieures Mechanique Technique, XII (2), 15-19, 1977 (in Russian)
14.
The Riquier Problem for a Degenerate Equation, Complex Analysis
and its Applications, Papers Dedicated to I.Vekua‘s 70-th Anniversary, Moscow: Nauka
Press, 209-216, 1978 (in Russian)
15.
On a Generalized Formula of Schwarz in a Case of Half-plane,
Proceedings of Tbilisi State University, Cybernetics and Applied Mathematics, 207, 31-37, 1979 (in Russian)
16.
On Some Boundary Value Problems for Prismatic Cusped Shells,
in Theory of Shells, Koiter W.T. and Mikhailov G.K., Eds., North-Holland Pub.Comp.,
339-343, 1980
17.
On a Physical Interpretation of Fichera's Function, Acad.Naz.dei
Lincei, Rend.della Sc.Fis.Mat.e Nat., S.
VIII, Vol. LXVIII (fasc.5), 426-435, 1980
18.
The Problem V for the Euler-Poisson-Darboux Equation, Reports
of Seminar of I.Vekua Institute of Applied Mathematics, 15, 77-83, 1981 (in Russian)
19.
Boundary Value Problems of Mathematical Theory of Prismatic Shells
with Cusps, Proceedings of All-union Seminar in Theory and Numerical Methods in
Shell and Plate Theory, Tbilisi University Press, 126-142, 1984 (in Russian)
20.
Problems with Discontinuous Boundary Conditions for the Euler-Poisson-Darboux
Equation, Reports of Seminar of I.Vekua Institute of Applied Mathematics, 18, 74-77, 1984 (in Russian)
21.
Approximate Solution of Boundary Value Problems in the Case of
the Euler-Poisson-Darboux Equation, Reports of Seminar of I.Vekua Institute of Applied
Mathematics, 18, 78-82, 1984 (in Russian)
22.
On the Behaviour of a Solution of the Vekua Problem for the Euler-Poisson-Darboux
Equation in the Half-plane, Reports of Seminar of I.Vekua Institute of Applied Mathematics,
19, 23-26, 1985 (in Russian)
23.
On a Non-local Boundary Value Problem for the Euler-Poisson-Darboux
Equation in the Half-plane, Papers of Conference in Non-local Problems for Partial
Differential Equations, Nalchick University Press, 74, 1986 (in Russian)
24.
Weak Extremum Principle for the Euler-Poisson-Darboux Equation,
Theses of the XI Conference of Mathematicians of Universities and Colleges of Republic
of Georgia, Tbilisi University Press, 193-194, 1986 (in Russian)
25.
Formulas of Schwarz Type for a Singular Differential Equation,
Bulletin of the Academy of Sciences of the Georgian SSR, 122 (3), 469-472, 1986 (in Russian, Georgian and English summaries)
26.
On the Influence of Coefficients of Junior Terms on Posing of
Boundary Value Problems for Elliptic Equations with Order Degeneration, Reports
of Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics,
2 (1), 31-34, 1986 (in Russian)
27.
The Weighted Dirichlet Problem with Discontinuous Boundary Data
for the Euler-Poisson-Darboux Equation in a Half-Plane, Proceedings of I.Vekua Institute
of Applied Mathematics, 19, 38-59, 1987
(in Russian)
28.
Weighted Boundary Value Problems for a Linear Degenerate Elliptic
Equation of Second Order, Uspekhi Matematichskikh Nauk, 42, 4 (256), 174, 1987 (in Russian)
29.
Bending of a Prismatic Cusped Shell With Power Law Changing Stiffness,
Proceedings of the XIV All-union Conference in Shell and Plate theory, Tbilisi University
Press, 474-479, 1987 (in Russian)
30.
Linear Elliptic Equations with Order Degeneration and Prismatic
Shells with Cusps, Proceedings of All-union Conference in Modern Problems of Mathematical
Physics, Tbilisi University Press, 1,
207-213, 1987 (in Russian)
31.
The First Boundary Value Problem of Cusped Prismatic Shell Theory
in Zero Approximation of Vekua Theory, Proceedings of I.Vekua Institute of Applied
Mathematics, 29, 5-38, 1988 (in Russian,
Georgian and English summaries)
32.
On the Problem of Behaviour of Solutions of Boundary Value Problems
in the Neighbourhood of Discontinuity Points of Boundary Data, Reports of Enlarged
Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, 4 (1), 34-37, 1989
33.
On a Way of Construction of Solutions of Boundary Value Problems
for Higher Order Equations, Rendiconti di Matematica, Serie VII, 10, 717-731, 1990
34.
Some Main Boundary Value Problems of the Mathematical Theory
of Cusped Prismatic Shells, Collection of Reports of the Scientific Session on the
Statics and Dynamics of Thin-Shelled Constructions, Tbilisi, 29,30, 1990 (in Georgian)
35.
Problems of Mathematical Physics Connected with Mathematical
Modelling of Nonordinary Events, Abstracts, Seminar on Nonordinary Events, Tbilisi
University Press, 17-19, 1990 (in Georgian)
36.
The Generalized Holmgren Problem for the Equation y∆u+buy=0
in the Case of a Half-circle, Reports of Enlarged Session of the Seminar of I.Vekua
Institute of Applied Mathematics of Tbilisi State University, 6 (1), 21-24, 1991
37.
On Some Applications of Variational Methods in the Bending Theory
of Prismatic Cusped Shells, Proceedings of I.Vekua Institute of Applied Mathematics
of Tbilisi State University, 47, 36-44,
1992
38.
An Example of Non-unique Solvability of Fichera Problem in the
Classical Sense, Reports of Enlarged Session of the Seminar of I.Vekua Institute
of Applied Mathematics of Tbilisi State University, 8 (1), 31-34,1993
39.
On a Way of Solution of BVPs for a Class of Third Order Partial
Differential Equations, Reports of Enlarged Session of the Seminar of I.Vekua Institute
of Applied Mathematics of Tbilisi State University, 10 (1), 32-35, 1995
40.
On a Generalization of the Keldysh Theorem, Georgian Mathematical
Journal, 2 (3), 291-297, 1995
41.
Elastic Bodies with Non-smooth Boundaries – Cusped Plates and
Shells, ZAMM-Zeitschrift fuer Angewandte Mathematik und Mechanik, 76, Supplement 2, 117-120, 1996
42.
The Main Boundary Value Problems of Bending of a Cusped Plate
in Weighted Sobolev Spaces, Applied Mathematics and Informatics, 1 (1), 78-84, 1996
43.
Bending of an Orthotropic Cusped Plate, Theses of Reports, International
Symposium on Problems of Continuum Mechanics, Tbilisi: "Intelect" Publishing
House, 17-18, 1997
44.
On a Modification of the Lax-Milgram Theorem, Reports of Enlarged
Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State
University, 12 (1), 5-8, 1997
45.
On Boundary Value Problems for Conjugate Generalized Harmonic
Functions, Ricerche di Matematica, 47,
fasc. 2, 231-256, 1998
46.
On a Model of a Bar with Variable Thickness, Bull. of TICMI,
2, 36-40, 1998 (for electronic version
see: http://www.viam.science.tsu.ge/others/ticmi)
47.
On a Cylindrical Bending of a Prismatic Shell with Two Cusped
Edges Under Action of an Ideal Fluid, Bull. of TICMI, 2, 30-34, 1998 (coauthor N. Chinchaladze, for electronic version see:
http:// www.viam.science.tsu.ge /others/ticmi)
48.
On a Mathematical Model of a Bar with Variable Rectangular Cross-section,
Preprint 98/21, Universitaet Potsdam, Institut fuer Mathematik, Potsdam, 1998
49.
Bending of an Orthotropic Cusped Plate, Preprint 98/23, Universitaet
Potsdam, Institut fuer Mathematik , Potsdam, 1998
50.
Boundary value problems in (1,0) approximation of a mathematical
model of bars. Bulletin of TICMI, 3,
7-11, 1999 (electronic version: http://www.emis.de/journals/TICMI)
51.
Relation of a Mathematical Model of Bars to the Three-dimensional
Theory of Elasticity, Workshop in Partial Differential Equations, University of
Potsdam, 15-16, 1999
52.
Bending of an Orthotropic Cusped Plate, Appl. Math. Inform.,
4 (1), 29-65, 1999
53.
Initial and Boundary Value Problems for Singular Differential
Equations and Applications to the Theory of Cusped Bars and Plates, Complex methods
for partial differential equations (ISAAC
Serials, 6), Eds.: H. Begehr, O.
Celebi, W. Tutschke. Kluwer, Dordrecht, 113-149, 1999
54.
Oscillation of an Orthotropic Cusped Plate, Reports of Enlarged
Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State
University, 14 (1), 24-31, 1999
55.
On a Vibration of an Elastic Cusped Bar, Bull. of TICMI, 4, 24-28, 2000 (coauthor S. Kharibegashvili,
for electronic version see: http://www.viam.science.tsu.ge/others/ ticmi)
56.
The First Boundary Value Problem for the System of Cusped Prismatic
Shells in the First Approximation, Appl. Math. Inform., 5 (2), 26-46, 2000 (with: G. Devdariani, S. Kharibegashvili, D. Natroshvili)
57.
On a Mathematical Model of Bars with Variable Rectangular Cross-sections,
ZAMM-Zeitschrift fuer Angewandte Mathematik und Mechanik, 81 (3), 147-173, 2001
58.
Application of Vekua's Dimension Reduction Method to Cusped Plates
and Bars, Bull. TICMI (Tbilisi International Centre of Mathematics and Informatics),
5, 27-34, 2001 (for electronic version
see: http://www.viam.science/tsu.ge /others/ticmi)
59.
Dynamical Problems in the (0,0) and (1,0) Approximations of a
Mathematical Model of Bars. In "Functional-Analytic and complex Methods, Interactions,
and Applications to PDEs". Proceedings of the International Graz Workshop,
Graz, Austria, 12-16 February, 2001, World Scientific, 188-248, 2001 (with S.S.
Kharibegashvili)
60.
On a Cusped Elastic Solid-Fluid Interaction Problem, Appl. Math.
Inform, 6 (2), 25-64, 2001 (with N. Chinchaladze)
61.
Oscillation of Cusped Euler-Bernulli Beams and Kirchhoff-Love
Plates, Preprint 145, Academy of Sciences of the Czech Republic, Mathematical Institute,
Prague, 2002 (Coauthor A. Kufner)
62.
Hierarchical Models for Cusped Plates, Preprint 2002/13, University
of Stuttgart, Mathematical Institute A, Stuttgart, 2002 (with: S. Kharibegashvili,
D. Natroshvili, W.L. Wendland)
63.
Static and Dynamical Problems for a Cusped Beam, Proceedings
of I.Vekua Institute of Applied Mathematics of Tbilisi State University, 52, 1-29, 2002
64.
On the Relation of Hierarchical Models of Cusped Elastic Plates
and Beams to the Three-dimensional Models, Reports of the Seminar of I.Vekua Institute
of Applied Mathematics, 28, 40-51, 2002
65.
Some Remarks Concerning Cusped Plates And Beams, Transactions
of The Georgian Technical University, 1 (447),
44-48, Tbilisi, 2003
66.
Bending of a Cusped Plate on an Elastic Foundation, Bull. of
TICMI, 8, 22-31, 2004 (for electronic
version see: http:// www.viam.science.tsu.ge /others/ticmi)
67.
Some Degenerate Elliptic Systems and Applications to Cusped Plates,
Preprint 2004/27, Universitaet Potsdam, Institut fuer Mathematik, Potsdam (ISSN
1437-739X), 2004 (with: B.-W. Schulze)
68.
Two-dimensional Hierarchical Models for Prismatic Shells with
Thickness Vanishing at the Boundary, Journal of Elasticity, 77 (2), 95-122, 2005 (with: S. Kharibegashvili,
D. Natroshvili, W.L. Wendland)
69.
On Big Deflections of Cusped Plates, Bull. of TICMI, 9, 6-13, 2005 (with: N. Chinchaladze, for
electronic version see: http://www.viam.science.tsu.ge/others/ ticmi)
70.
Oscillation of Cusped Euler-Bernoulli Beams and Kirchhoff-Love
Plates, Hacettepe Journal of Mathematics and Statistics, 35 (1), 7-53, 2006 (with: A. Kufner)
71.
A cusped Prismatic Shell-like Body with the Angular Projection
under the Action of a Concentrated Force, Rendiconti Academia Nazionale delle Scienze
detta dei XL, Memorie di Matematica e Applicazioni, 124 0 (2006), Vol.
XXX, facs. 1, 65-82
72.
On Some Classes of Special Functions, Proceedings of I.Vekua
Institute of Applied Mathematics, 56-57,
1-20, 2006-2007, access: http://www.viam.science.tsu.ge/publish/
proceed.html
73.
A Cusped Kirchhoff-Love Plate Under the Action of Concentrated
Loadings, Reports of Seminar of I. Vekua Institute of Applied Mathematics, 32-33,
1-4, 2006-2007, access: http://www.viam.science.tsu.ge/reports.htm
74.
Some Degenerate Elliptic Systems and Applications to Cusped Plates,
Mathematische Nachrichten, 280 (4), 388-407,
2007 (with B.-Wolfgang Schulze, web-site: http://www3.interscience.wiley.com/search/allsearch?mode=viewselected&product=journal&ID=114107244&view_selected.x=82&view_selected.y=9)
75.
Big Deflections of a Cusped Plate with the Flexural Rigidity
as a Power Function, Transactions of the International Conference on Problems of
Continuum Mechanics, Tbilisi, Georgia, 27-28 October, 2007, 11-13, Tbilisi, 2007
(with N. Chinchaladze)
76.
On Boundary Value Problems in Displacements for Hierarchical
Models of Cusped Prismatic Shells and Beams, Materials of the International Conference
on Non-classic Problems of Mechanics, Kutaisi, Georgia, 25-27 October, 2007, 1, 191-196, Kutaisi, 2007
77.
Hierarchical Mathematical Models for Solid-Fluid interaction
Problems, Materials of the International Conference on Non-classic Problems of Mechanics,
Kutaisi, Georgia, 25-27 October, 2007, 2,
59-64, Kutaisi, 2007 (in Georgian, with N. Chinchaladze)
78.
Nonlocal Boundary Value Problem for a System of Singular Differential
Equations and Applications to Cusped Prismatic Shells, PAMM – Proceedings in Applied Mathematics
and Mechanics, 7 (1, 2090011 – 2090012, Published
Online: 7 Aug 2008 (http://www3.interscience.wiley.com/journal/121372159/abstract)
79.
A Cusped Prismatic Shell-like Body under the Action of Concentrated
Moments, ZAMP-Zeitschrift fuer Angewandte Mathematik und Physik, 59, 518-536, 2008 (DOI 10.1007/s 00033-006-6005-7,
Online First, published online: 20 November, 2006, access: http://www.birkhauser.ch/)
80.
On a Nonlocal Boundary Value problem for a System of Singular
Differential Equations, Applicable Analysis: An International Journal, 87 (1), 83 – 97, 2008; First published electronically
on 19 December 2007, (DOI: 10.1080/00036810701729964, access: http://www.tandf.co.uk/journals/titles/00036811.asp)
81.
Cylindrical Bending of a Cusped Plate with Big Deflections, Sovremennaya
Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), 51, Differential Equations and Their Applications,
2008 (in Russian, with N. Chinchaladze)
82.
Existence and Uniqueness Theorems for Cusped Prismatic Shells
in the N-th Hierarchical Model, Mathematical Methods in Applied Sciences, 31 (11), 1345-1367, 2008 (with N. Chinchaladze,
R. Gilbert, S. Kharibegashvili, D. Natroshvili, access
for electronic version: http://www3.interscience.wiley.com/search/allsearch?mode=views
elected&product=journal&ID=117905390& view_selected.x=111&view_selected.y=7, Published Online: 4 Feb 2008)
83.
On Physical and Mathematical Moments and the Setting of Boundary
Conditions for Cusped Prismatic Shells and Beams, Proceedings of the IUTAM Symposium
on Relation of Shell, plate, Beam, and 3D Models Dedicated to Centenary of Ilia
Vekua, 23-27 April, 2007, Tbilisi, Georgia. IUTAM Bookseries,
9, 133-146, Editors G. Jaiani, P. Podio-Guidugli.
Springer, 2008
84.
On a Class of Special Functions, Reports of Enlarged Sessions
of the Seminar of I.Vekua Institute of Applied Mathematics, 22, 41-45, 2008, access: http://www.viam.science.tsu.ge/en_ses.htm
85.
Equations with Order Degeneration and Axially Symmetric Solutions
of Elliptic Equations. Reports of the Seminar of I.Vekua Institute of Applied Mathematics,
35, 56-59, 2009
86.
Cylindrical Bending of a Cusped Plate with Big Deflections, Journal
of Mathematical Sciences, 157 (1), 52-69, Springer, 2009, [Translated
from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its
Applications), 51, Differential Equations
and Their Applications, 2008] (with N. Chinchaladze) access: http://www.springerlink.com/content/bt22900q5v238682/?p=1af5abb4d88148f9b5c7775b1319afab&pi=2
87.
Cusped Elastic Beams under the Action of Stresses and Concentrated
Forces. Applicable Analysis, 89 (5),
757–774, 2010 (with Chinchaladze, N.; Gilbert, R. P.; Kharibegashvili, S.;
Natroshvili,
D., access: http://www.tandf.co.uk/journals
88.
Hierarchical Models for Bi-modular
Prismatic Rods. Proceedings of the International
Scientific-Technical Conference (June 15-17, 2010, Tbilisi) “Civil Engineering Mechanics
Actual Problems” in Scientific-Technical Journal “Building”, 2 (17), 208-210, 2010
89.
Cusped Prismatic Shells and Beams.
Proceedings of the International Conference (October 4-8, 2010, Dilijan, Armenia)
“Topical Problems of Continuum Mechanics”, 2,
286-290, 2010
90.
Systems of linear partial differential
equations in thin prismatic domains. Reports of Seminar of I. Vekua Institute of
Applied Mathematics, vol. 36-37, pp. 1-4, 2010-2011
91.
A Remark concerning peculiarities
of two models of cusped prismatic shells. Reports of Seminar of I. Vekua Institute
of Applied Mathematics, vol. 36-37, pp. 66-79 2010-2011
92.
On Cusped Shell-like Structures. Shell-like
Structures: Non-classical Theories Applications in Advanced Structured Materials.
Ed.: H. Altenbach and V. Eremeyev, 63-74, 2011
93.
Concentrated contact interactions
in cuspidate prismatic shell-like bodies, Archive
of Applied Mechanics, 81 (10), 1487-1505,
2011 (with Chinchaladze, N., Maistrenko, B., and Podio-Guidugli, P.)
94.
On fundamental and singular
solutions of the system of equations of the equilibrium of the plane thermoelasticity
theory with microtemperatures, Bull. TICMI, 15, 5-12, 2011, http://www.viam.science.tsu.ge/others/ticmi/blt/bulletin.htm (with Basheleishvili, M.; Bitsadze, L.)
95.
Theorems for the Third and Fourth
BVPs of 2D Theory of Termoelastisty with Microtemperatures, Mechanics of The Continuous
Environment Issues, Dedicated to the 120th Birth Anniversary of Academician Nikoloz
Muskhelishvili, Nova Science Publishers, 99-118, 2012 (with Bitsadze, L.)
96.
Zero Order Approximation of Hierarchical
Models for Elastic Prismatic Shells with Microtemperatures, Bulletin of TICMI, 16
(2), 66-73, 2012
97.
Explicit Solutions of BVPs of 2D Theory of Thermoelasticity with
Microtemperatures for the Half-plane. Proceedings of I. Vekua Institute of Applied
Mathematics, 61-62, 1-12, 2011-2012 (with Bitsadze, L.)
98.
A Kirchoff-Love Plate of Variable Flexural Rigidity under the
Action of Concentrated Loads, Information and Computer Technologies - Theory and
Practice, Ed. I. Gorgidze, Nova Science Publishers, Inc., 591-595, 2012.
99.
Initial-boundary value problems for solid-fluid composite structures,
Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 63 (4), 625-653, 2012
(with Chinchaladze, N.; Gilbert, R.; Kharibegashvili, S.; Natroshvili, D.)
100. Some Basic Boundary
Value Problems of the Plane Thermoelasticity with Microtemperatures, Mathematical
Methods in the Applied Sciences, 36 (8), 956–966, 2013 (with Bitsadze, L.)
101. Hierarchical
Models for Prismatic Shells with Mixed Conditions
on Face Surfaces. Bull. TICMI, 17 (2), 24-48,
2013 (for
electronic version see: http://www.viam.science.tsu.ge/others/ticmi)
102. On a Model of Layered Prismatic Shells. Proceedings of I. Vekua Institute of Applied Mathematics, 63, 13-24, 2013 (for electronic version see: http://www.viam.science.tsu.ge/publish/ proceed.html)
103. A Boundary-Contact Problem for Two Rectangularly Linked Elastic Bars, Bull. TICMI, 18 (2), 82-101, 2014
104. Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures. ZAMM - Z. Angew. Math. Mech., 95 (1), 77-90, 2015
105. Antiplane Strain (Shear) of Isotropic Non-Homogeneous Prismatic Shell-Like Bodies. Bull. TICMI, 19 (2), 40-54, 2015
106. A Model of Layered Prismatic Shells. Continuum Mechanics and Thermodynamics, 28, 765-784, 2016 http://link.springer.com/article/10.1007%2Fs00161-015-0414-9
107. On basic problems for elastic prismatic shells with microtemperatures. ZAMM - Z. Angew. Math. Mech., 96 (9), 1082–1088, 2016 (with L. Bitsadze)
108. Vekua type hierarchical models for prismatic shells with mixed conditions on face surfaces. Composite Structures,152, 226-238, 2016
109. On micropolar elastic cusped prismatic shells. Transactions of A. Razmadze Mathematical Institute, 170, 376-384, 2016
110. Hierarchical models for viscoelastic Kelvin-Voigt prismatic shells with voids. Bulletin of TICMI, 21 (2), 33-44, 2017
111. Antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies. Archives of Mechanics, 69 (4-5), 1-12, 2017 (with N. Chinchaladze)
112. Basic problems of thermoelasticity with microtemperatures for
the half-space. Journal of Thermal Stresses, 41 (9), 1101-1114, 2018 DOI: 10.1080/01495739.2018.1464415,
2018 (with L. Bitsadze)
113. On BVPs for piezoelectric transversely isotropic cusped bars. Bulletin of TICMI, vol. 23, No. 1, 2019, pp. 35-66
114.
115. A survey of results on cusped standard and prismatic shells, in particular plates, and bars and on the corresponding singular PDEs. Continuum Mech. Thermodyn. https://doi.org/10.1007/s00161-020-00965-2 (with N. Chinchaladze)
Monographs
1. Solution of some Problems for a Degenerate Elliptic Equation of Higher Order and their Applications to Prismatic Shells, Tbilisi University Press, 1982, 178 p. (in Russian, Georgian and English summaries)
2. Euler-Poisson-Darboux Equation, Tbilisi University Press, 1984, 79 p. (in Russian, Georgian and English summaries)
3. Theory of Cusped Euler-Bernoulli Beams and Kirchoff-Love Plates, Lecture Notes of TICMI, 3, 2002, 132 p. (for electronic version see: http:// www.viam.science.tsu.ge/others/ticmi)
4. Hierarchical Models for Elastic Cusped Plates and Beams, Lecture Notes of TICMI, 4, 2003, 121 p. (with: S. Kharibegashvili, D. Natroshvili, W.L. Wendland, for electronic version see: http:// www.viam.science.tsu.ge /others/ticmi)
5. Cusped Shell-like Structures, SpringerBriefs in Applied Science and Technology, Springer-Heidelberg-Dordrecht-London-New York, 2011, 84 p.
6. Piezoelectric Viscoelastic Kelvin-Voigt Cusped Prismatic Shells, Lecture Notes of TICMI, 19, 2018, 83 p.
Abstracts of Reports
1. On a Motion of Free Vortices in Magnetic Hydrodynamics, Thesis of Reports of the Undergraduate Students XXVII Scientific Conference of Tbilisi State University, Tbilisi University Press, 8, 1965 (in Georgian)
2. General Solution of a Class of Linear Second Order Elliptic Equations, Thesis of Reports of the Undergraduate Students XXIX Scientific Conference of Tbilisi State University, Tbilisi University Press, 15,1967 (in Georgian)
3. On a Wedge-shaped Body Loaded by Concentrated Force at the Vertex, Theses of Reports of Conference of Young Scientists and Aspirants, Tbilisi University Press, 51-52, 1974 (in Russian)
4. Ueber verallgemeinerte Schwarzsche Formeln
fuer eine singulaere Differentialgleichung, Komplexe Analysis und ihre Anwendungen
auf partielle Differentialgleichungen, Martin-Luther-Universitaet Halle-Wittenberg,
Wissenschaftliche Beitraege 27 (M9), Halle (Saale), 94, 1977 (in German)
5. On Determination of Elastic Equilibrium of Some Shells of Special Type, Book of Abstracts of the III IUTAM International Symposium on Shell Theory, Tbilisi : "Metsniereba" Publishing House, 30,1978 (coauthors N. Kaldani, E. Obolashvili)
6. On the First Boundary Value Problem for Elastic Prismatic Shells with Sharpened Edges, Abstracts of Reports, The V All-union. Congress in Theoretical and Applied Mechanics, Alma-ata: "Nauka", 135,1982 (in Russian)
7. iscontinuous Boundary Value Problems for the Euler-Poisson-Darboux Equation, Complex Analysis and its Applications to Partial Differential Equations, Martin-Luther-Universitaet Halle-Wittenberg, Wissenschaftliche Beitraege, 58 (M 35) Halle (Saale), 112, 1984
8. Linear Elliptic Equations with Order Degeneration and Prismatic Shells with Cusps, Abstracts, All-union Conference in Modern Problems of Mathematical Physics, Tbilisi University Press, 15, 1987 (in Russian)
9. Boundary Value Problems for Elliptic Equations with Order Degeneration, Abstracts, 5-th Conference in Complex Analysis, Martin-Luther-Universitat Halle-Wittenberg, 30, 1988
10. Non-local Boundary Value Problems for a Prismatic Sharpened Shell, Abstracts, Conference in Boundary Value Problems for Differential Equations and their Spectral Questions, Alma-Ata, 31, 1991 (in Russian)
11. Boundary Value Problems for Prismatic Shells with Cusped Edges, Abstracts, Symposium on Continuum Mechanics and Related Problems of Analysis, Tbilisi : "Metsniereba" Publishing House, 86, 1991
12. ain Boundary Value Problems in Weighted Sobolev Spaces for the Equation of Bending of Sharpened Plates, Theses, International Conference "Degenerate Equations and Equations of Mixed Type", Tashkent: "FAN" Publishing House, 56, 1993 (in Russian)
13. The Weighted Sobolev Spaces Connected with the Computation of Cusped Plates, Abstracts of Reports, International Conference "Functional Spaces, Approximation Theory, Nonlinear Analysis", Moscow, 328-329,1995
14. Bending of a Cusped Plate with a Profile of General Form, Abstracts, International Symposium Dedicated to the 90th Birthday Anniversary of Academician I.Vekua on Differential Equations and Mathematical Physics, Tbilisi: "Metsniereba" Publishing House, 71, 1997
15. Problems of I. Vekua’s Theory of Plates and Shells, Abstracts, International Symposium Dedicated to the 90th Birthday Anniversary of Academician I.Vekua on Differential Equations and Mathematical Physics, Tbilisi: "Metsniereba" Publishing House, 129, 1997 (coauthors D. Gordeziani, T. Meunargia, T. Vashakmadze)
16. A Mathematical Model of Bars with Variable Rectangular Crosc-section, Abstracts of Short Communications and Poster Sessions of ICM 1998, Berlin, p. 236, 1998
17. On the Relation of a Mathematical Model of Bars to the Three-dimensional Theory of Elasticity, Abstracts of Talks, Symposium Dedicated to the 95 th Birthday Anniversary of Academition V. Kupradze on Differential Equations and Mathematical Physics, Tbilisi, 1998 (http: // www.rmi.acnet.ge/DEMPH)
18. On a Mathematical Model of Elastic Beams and Bars with Variable Cross-section, Theses of Reports, International Symposium on Mechanics of Strained Solids, Tbilisi, 60, 1998
19. Some Contact Problems for Solid-Fluid Models, International Conference on Multifield Problems, Universitaet Stuttgart, Bericht 99/12, Eds.: A.M. Saendig, W.L. Wendland, 49, 1999 (coauthers G. Chichua, N. Chinchaladze)
20. On a Mathematical Model of Bars with Variable Rectangular Cross-sections, Abstract Book, ICTAM2000 (20th International Congress of Theoretical and Applied Mathematics), Technical Report No.950, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, 73, 2000
21. Boundary Value Problems for Elastic Bodies with Singular Boundaries, Abstracts, 3rd International ISAAC Congress, Berlin, 129, 2001
22. On a Vibration of a Cusped Beam, Abstracts of Workshop, Banach Center, Bedlewo, September 2-8, 2001, in Preprint 2001/18: Ellipticity and Asymptotics in Spaces with Singularities (Ed. W.L. Wendland), University of Stuttgart, Mathematical Institute A, Stuttgart, 12, 2001
23. Boundary Value Problems for Cusped Elastic Beams, Thesis of the Reports of the III Congress of the Georgian Mathematicians, 129, Tbilisi 2001 (in Georgian)
24. Models of Cusped Plates and Bars, Bull. of TICMI, 6, 8, 2002 (with: S. Kharibegashvili, D. Natroshvili, for electronic version see: http:// www.viam.science.tsu.ge /others/ticmi)
25. Investigation of Heirarchical Models for Cusped Plates and Beams, Abstracts of ISAAC Conference on Complex Analysis, Differential Equations and Related Topics, Yerevan, 31-32, 2002
26. Cusped Plates under Action of Concentrated Forces and Moments, Thesis of the Reports of the IV Congress of the Georgian Mathematicians, 174, Tbilisi 2005 (in Georgian)
27. Physical and Mathematical Moments and Analysis of Peculiarities of Setting of Boundary Conditions for Cusped Prismatic Shells and Beams, Book of Abstracts, IUTAM Symposium On Relation of Shell, Plate, Beam, and 3D Models Dedicated to Centenary of Ilia Vekua (April 23-27, 2007, Tbilisi, Georgia), 35, 2007
28. Elastic Cusped Beam, Plate, and Shell Hierarchical Models and their Relation to the 3D Classical Linear Models, Abstracts of the International Conference on Differential Equations, Theory of Functions, and Applications, dedicated to centennial of Academician Ilia N. Vekua (May 28 – June 2, 2007, Novosibirsk, Russia), 540, 2007
29. On a System of Elliptic Partial Differential Equations with Order Degeneration, Abstracts of the 6th International ISAAC Congress (13-18 August, Ankara, Turkey), 34, 2007
30. Systems of Linear Partial Differential Equations in Cuspidal Prismatic Domains, Abstracts of the International Conference on Analysis, PDEs and Applications (June 30- July 3, 2008, Rome, Italy), 27, 2008
31. The Flamant and Carothers Type Problems for Cusped Prismatic Shells, Abstracts Book, 22th International Congress of Theoretical and Applied Mathematics - ICTAM2008 (August 24 - 28, 2008, Adelaide, Australia), 225, 2008
32. Partial differential equations in thin domains, Book of Abstracts, International Conference on "Modern Problems in Applied Mathematics" Dedicated to the 90th Anniversary of the Iv. Javakhishvili Tbilisi State University and 40th Anniversary of the I.Vekua Institute of Applied Mathematics (October 7-9, 2008, Tbilisi, Georgia), 51, 2008
33. On Some Classes of Special Functions, Abstracts, 4th Workshop on "Advanced Special Functions and Solution of PDEs" (May 24-28, 2009, Sabaudia, Italy), 18, 2009
34. BVPs for the Systems of Degenerate Second Order PDEs of Hierarchical Models of Cusped Prismatic Shells, Lectures and Short Communications, International Symposium on Nonlinear PDEs and Applications (June 22-25, 2009, Catania, Italy), 8-10, 2009
35. Cusped Shells, Plates, and Beams. Fifth Congress of Mathematicians of Georgia, Abstracts of Contributed Talks, (October 9-12, 2009, Batumi-Kutaisi, Georgia), 119, 2009
36. Weighted and Non-local Boundary Value Problems for a Forth Order Elliptic Equation and Applications to Cusped Plates Abstracts (Short Communications, Posters), International Congress of Mathematicians (August 19-27, 2010, Hyderabad), 353, 2010
37.
Cusped Shells and Beams,
Book of Abstracts, First International Conference of Georgian Mathematical Union
(September 12-19, 2010, Batumi, Georgia), 67-68, 2010
38.
Cusped Plates under the
Action of Concentrated Moments and Forces, The International Scientific Conference
“Information and Computer Technologies, Modelling, Control” Dedicated to the 80th
anniversary of I. Prangishvili, Book of Abstracts (November 1-4, Tbilisi, Georgia),
213-214, 2010 (in Georgian)
39. Mathematical models of elastic cusped shells, plates, and rods, Book of Abstracts, International Conference “Continuum Mechanics and Related Problems of Analysis” Dedicated to the 70th Anniversary of the Georgian National Academy of Sciences & the 120th Birthday of its First President Academician Nikoloz (Niko) Muskhelishvili (September 9-14, 2011, Tbilisi, Georgia), p.34, 2011
40. Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures. III Annual Meeting of the Georgian Mechanical Union, December 19-21, 2012, Tbilisi, Georgia, p. 30
41. On Hierarchical Models for Cusped Elastic Prismatic Shells. Book of Abstracts, ICCS17 - 17th International Conference on Composite Structures, 17-20 June, 2012, Porto, Portugal
42. Elastic cusped rod, plate, prismatic and standard shell models. Book of Abstracts, XXII AIDAA (Italian Association of Aeronautics and Astronautics) Conference, 9-12 September, 2013, Naples, Italy
43. Hierarchical Models for Laminated Prismatic Shells. Book of Abstracts, IV Annual Meeting of the Georgian Mechanical Union, 8-10 November, 2013, Kutaisi, Georgia
44. Model of Layered Prismatic Shells. ACEX2014, 30 June - 3 July, 2014, Paris, France, p. 88
45. On Models of Layered Prismatic Shells. Book of Abstracts, V Annual Meeting of the Georgian Mechanical Union, 8-10 October, 2014, Tbilisi, Georgia, pp. 14-15
46. Models of Perpendicularly Linked Two and Three Elastic Bars. ACEX2015, 29 June – 2 July, Munich, Germany
47. Some results obtained and activities. Book of Abstracts, VI Annual Meeting of the Georgian Mechanical Union, 29.09-04.10, 2015, Tbilisi, Georgia, p. 20
48. On elestic multi-layred prismatic structures. Book of Abstracts, VII Annual Meeting of the Georgian Mechanical Union, 5.09-9.09, 2016, Batumi, Georgia, p. 23
49. Hierarchical Models for Viscoelastic Kelvin-Voigt Prismatic Shells with Voids. Book of Abstracts, ACEX2017, July 3-7, 2017, Vienna, Austria, p. 61
50. Life and Activities of Professor David Gordeziani. Book of Abstracts, 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE2017, December 6-9, 2017, Tbilisi, Georgia, 3-32 (with T. Jangveladze)
51. Life and Activities of David Gordeziani/ Book of Abstracts of the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, December 6-9, 2017, ISBN 978-9941-26-149-7, p.3-32 (with T. Jangveladze)
52.
Life, Activities, and Scientific Heritage of
Ilia Vekua. Book of Abstracts of the VIII Annual Meeting of the Georgian
Mechanical Union, September 27-29, 2017; ISSN 2233-355X, p.3-28
53. Life, Activities, and Scientific Heritage of Ilia Vekua. Book of Abstracts, VIII Annual meeting of the Georgian Mechanical Union: GEOMECH8, September 27-29, 2017, Batumi, Georgia, 3-28
54. Hierarchical Models for Micropolar Elastic Cusped Prismatic Shells. Book of Abstracts, International Workshop “New developments in micropolar theory”, November 6-7, 2017, Berlin, Germany, 14-15
55. Ilia Vekua Institute of Applied Mathematics of TSU – 50. Book of Abstracts, The Third International Conference „Modern Problems in Applied Mathematics“, September 19-21, 2018, 3-4
56. Double-Layer Piezoelectric Cusped Prismatic Shells. Book of Abstracts, IX Annual Meeting of the Georgian Mechanical Union, 11.10-13.10, 2018, Kutaisi, Georgia, p. 9
57. Piezoelectric Viscoelastic Kelvin-Voigt Cusped Prismatic Shells with Voids. Abstract Book, 13th International Conference on Advanced Computational Engineering and Experimenting, ACE-X 2019, JULY 1-5, 2019 ATHENS, GREECE, 21-22
58. On Hierarchical Models for Piezoelectric Bars. Book of Abstracts, The Fourth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2019, September 23-26, 2019, Tbilisi, Georgia, p. 14
59. Piezoelectric Cusped Prismatic Shells, Book of Abstracts, TICMI ADVANCED COURSES on Mathematical Models of Piezoelectric Solids and Related Problems, September 23-26, 2019, Tbilisi, Georgia, p. 29
60. On Hierarchical Models for Shells, Plates and Bars Constructed by Vekua’s Method, Book of Abstracts, X Annual meeting of the Georgian Mechanical Union: GEOMECH10, September 26.09-28.09, 2019, Telavi, Georgia, p. 8
61. Differential
Hierarchical Models for Piezoelectric Prismatic Cusped Shells and Bars, Book of
Abstracts, International Scientific Meeting of Related Problems of Continuum
Mechanics, 31.10.2019 – 1.11.2019,
Kutaisi, Georgia, p. 11
Textbooks
1.
Corso Introduttivo Alle Equazioni Integrali Singolari, Universita degli Studi
di Roma "La Sapienza", Dipartamento di Matematica-Istituto "G. Ca1stellnuovo",
1996, 97 p.
2. Mathematical Models of Mechanics of Continua, Tbilisi University Press, Tbilisi, 2004, 338 p. (in Georgian)
3. Advanced Mathematics, Part I: Calculus for Chemistry, Biology, and Life Sciences. Lecture Course, Tbilisi University Press, 2009, 111 p. (in Georgian)
4. Advanced Mathematics, Part II: Differential Models for Chemistry, Biology, and Life Sciences. Lecture Course, Tbilisi University Press, 2009, 127 p. (with N. Chinchaladze, in Georgian)
5. Mathematical Models of Mechanics of Continua (Second Edition), Tbilisi University Press, Tbilisi, 2018, 526 p. (in Georgian)
Electronic Textbooks
1. Equations of Mathematical Physics. Lecture Course, 2007 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
2. Calculus for Natural Sciences. Lecture Course, 2009 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
3. Advanced Mathematics, Part I: Calculus (4) for Chemistry, Biology, and Ecology. Lecture Course, 2014 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
4. Advanced Mathematics, Part II: Differential Models for Chemistry. Lecture Course, 2015 (with N. Chinchaladze, in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
5. Differential Equations and Mathematical Physics, 2010 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
6. Theory of Degenerate Partial Differential Equations, 2012 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
7.
Mathematical Models of Mechanics of Continua, 2015 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm
Edited Books
2. Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering, Springer Proceedings in Mathematics & Statistics, vol. 276, Editors G. Jaiani, D. Natroshvili, Springer, 2019, 175 p.
3. Proceedings of the IUTAM Symposium on Relation of Shell, plate,
Beam, and 3D Models, Dedicated to Centenary of Ilia Vekua, 23-27 April, 2007, Tbilisi,
Georgia. IUTAM Bookseries,
Vol. 9, Editors G. Jaiani, P. Podio-Guidugli. Springer, 2008, 220p.
4. English-Georgian-Russian-German-French-Italian Glossary of Mathematical Terms, Edited by G.V. Jaiani (Compiler: J. Antidze, G. Datashvili, Ts. Gabiskiria, G. Jaiani), Lecture Notes of TICMI, Vol. 6, 2005, 227p.
5. Problems and Examples in Elementary Mathematics, Edited by G.V. Jaiani (Compiler: A. Ambroladze, G. Lobshanidze, N. Mchedlishvili, K. Shvania, T. Sasheniuk, K. Tsiskaridze, A. Kharazishvili, G. Jaiani, T. Jangveladze), Tbilisi, 1992, 270 p. (in Georgian)
6. Sovremennye problemy matematicheskoi fiziki. Tom I (Russian) [Current Problems in Mathematical Physics. Vol. I] Proceedings of All-Union Symposium held in Tbilisi, April 22-25, 1987. Edited by G.V. Jaiani and I.K. Kiguradze. Tbil. Gos. Univ., Tbilisi, 1987. 511 p.
7. Differential’nye uravneniya v chastnykh proizvodnykh I ikh prilozenia. (Russian) [Partial Differential Equations and Their Applications] Proceedings of All-Union Symposium held in Tbilisi, April 21-23, 1982. Edited by L.G. Magnaradze and G.V. Jaiani. Tbil. Gos. Univ., Tbilisi, 1986, 256 p.
Edited
Journals
Editor
of
Bulletin of TICMI, Vol. 1 (1997), 2 (1998), 3 (1999),
4 (2000), 5 (2001), 6 (2002), 7 (2003), 8 (2004), 9 (2005) , 10 (2006), 11(2007),
12 (2008), 13 (2009), 14 (2010), 15 (2011), 16 No.1, No. 2 (2012), 17 No. 1, 2 (2013),
18 No. 1, 2 (2014), 19 No.1, No. 2 (2015), 20 No.1, No. 2 (2016), 21 No.1, No. 2
(2017), 22 No.1, No. 2 (2018), 22 No.1
Lecture Notes of TICMI, Vol. 1 (2000), 2 (2001), 3 (2002), 4 (2003), 5 (2004),
6 (2005), 7 (2006), 8 (2007), 9 (2008), 10 (2009), 11(2010), 12 (2011), 13 (2012),
14 (2013), 15 (2014), 16 (2015), 17 (2016), 18 (2017), 19 (2018)
Associate Editor of
Applied Mathematics and Informatics (since 2003, Vol. 8, No.1 under the title Applied Mathematics, Informatics, and Mechanics) Vol. 3 (1998); Vol. 4, No. 1, No. 2 (1999); Vol.5, No. 1, No. 2 (2000); Vol.6, No. 1, No. 2 (2001); Vol. 7, No. 1, No. 2 (2002); Vol. 8, No. 1, No. 2 (2003); Vol. 9, No. 1, No. 2 (2004), Vol. 10, No. 1, No. 2 (2005), Vol. 11, No.1, No. 2 (2006).
Other Publications
1. Life and Activities of David
Gordeziani. Springer Proceedings in Mathematics & Statistics, vol.
276, Editors G. Jaiani, D. Natroshvili,
9-24, Springer, 2019 (with T. Jangveladze)
2. Third International Conference
on "Modern Problems in Applied Mathematics", Scientific Popular
Journal - Mathematics, No. 5, 4-6, 2018 (with N. Chinchaladze, in Georgian)
3. Second International Conference
on "Modern Problems in Applied Mathematics", Scientific Popular Journal
- Mathematics, No. 2, 115-118, 2014 (with N. Chinchaladze, in Georgian)
4. I. Vekua Institute of Applied Mathematics of Tbilisi State
University – 45, Bulletin of TICMI, 18(2), 2014, 3-9 (with N. Avazashvili)
5. Scientific Educational School in Applied Mathematics
for Pupils, Scientific Popular Journal - Mathematics, No. 1, 90-92, 2013 (with N.
Chinchaladze)
6. “Ilia
Vekua”, Proceedings of the IUTAM Symposium on Relation of Shell, plate, Beam, and
3D Models Dedicated to Centenary of Ilia Vekua, 23-27 April, 2007, Tbilisi, Georgia.
IUTAM Bookseries, Vol. 9, XI-XIII, Editors
G. Jaiani, P. Podio-Guidugli. Springer, 2008
7. Ilia Vekua’s Centenary. Lecture Notes of TICMI, 8, 2007, 3-4 (with R.P. Gilbert)
8. Ilia Vekua’s
90th birthday anniversary. International Simposium on Differential Equations and
Mathematical Physics (
9. All-Union Simposium "Partial Differential Equations and Their Applications", Differential’nye uravneniya, Vol. 19, 1, 175-176, 1983 (in Russian)