LIST OF PUBLICATIONS OF

GEORGE JAIANI

(Other transcriptions: Dzhaiani, Dzaiani)

  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. 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. Physical snd Mathematical Moments snd Analysis of Peculiarities of Setting of Boundary Conditions for Cusped Shells and Beams. IUTAM Symposium on Relation of Shell, Plate, Beam, and 3D Models, Dedicated to Centenary of Ilia Vekua, April 23 – 27, 2007, Tbilisi, Georgia, Abstract Book, p. 35, 2007 (access for electronic version: http://www.viam.science.tsu.ge/others/ticmi/iutam/abstracts.pdf)

  76. 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)

  77. 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

  78. 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)

  79. 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)

  80. 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/)

  81. 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)

  82. 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)

  83. 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)

  84. 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

  85. 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

  86. 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

  87. 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

  88. 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

  89. 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

  90. 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

  91. 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

  92. 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.)

  93. 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.)

  94. 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.)

  95. Zero Order Approximation of Hierarchical Models for Elastic Prismatic Shells with Microtemperatures, Bulletin of TICMI, 16 (2), 66-73, 2012

  96. 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.)

  97. 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.

  98. 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.)

  99. Some Basic Boundary Value Problems of the Plane Thermoelasticity with Microtemperatures, Mathematical Methods in the Applied Sciences, Article first published online: 26 JUL 2012 (http://onlinelibrary.wiley.com/doi/10.1002/mma.2652 /abstract) DOI: 10.1002/mma.2652. 2012; 36 (8), 956–966, 2013 (with Bitsadze, L.).

  100. Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures. ZAMM· Z. Angew. Math. Mech., 2013, DOI 10.1002/zamm.201300016

  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

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.

 

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)

 

Edited Books

1.   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. 

2.   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.

3.   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.

4.   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)

5.   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.

6.   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.

 

Other Publications

1.      Scientific Educational School in Applied Mathematics for Pupils, Scientific Popular Journal - Mathematics, No. 1, 90-92, 2013 (with N. Chinchaladze)

2.      “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

3.      Ilia Vekua’s Centenary. Lecture Notes of TICMI, 8, 2007, 3-4 (with R.P. Gilbert)

4.      Ilia Vekua’s 90th birthday anniversary. International Simposium on Differential Equations and Mathematical Physics (Tbilisi, 1997). Mem. Differential Equations and Math. Phys. 12 (1997), 1-10 (with R. Gilbert, G. Manjavidze)

5.      All-Union Simposium "Partial Differential Equations and Their Applications", Differential’nye uravneniya, Vol. 19, 1, 175-176, 1983 (in Russian)

Edited Books

1.      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

2.      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, 227pp.

3.      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 pp. (in Georgian)

4.      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 pp.

5.      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 pp.

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)

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)

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).