- დირექცია / კერძოწარმოებულიანი დიფერენციალური განტოლებების განყოფილების

დირექტორი / მთავარი მეცნიერი თანამშრომელი **ოფისი**: ოთახი 111, უნივერსიტეტის ქ.11, 0186 თბილისი, საქართველო**ტელეფონი**: 591938244**ელ.ფოსტა**: george.jaiani@gmail.com**სამეცნიერო ინტერესები**: კერძოწარმოებულიანი დიფერენციარული განტოლებები, მათ. მოდელირება, მყარი ტანის მექანიკა; დრეკადი სხეულებისა და სითხეების ურთიერთქმედების ამოცანები; გარსებისა და ფირფიტების თეორია; სასაზღვრო ამოცანები სინგულარული ელიფსური და ჰიპერბოლური განტოლებებისა და სისტემებისათვის და მათი გამოყენება წამახვილებული ფ

განათლება:

1985 - დოქტორი, საქართველოს მეცნიერებათა აკადემიის რაზმაძის სახელობის მათემატიკის ინსტიტუტი, დიფერენციალური განტოლებები და მათ. ფიზიკა

1968-1974 - დოქტორთან გათანაბრებული, თბილისის სახელმწიფო უნივერსიტეტი, მექანიკა-მათემატიკის ფაკულტეტი, დეფორმადი მყარი სხეულების მექანიკა,

1962-1968 - დიპლომირებული სპეციალისტი, თბილისის სახელმწიფო უნივერსიტეტი, მექანიკა-მათემატიკის ფაკულტეტი, სპეციალობა მექანიკა

სამუშაო გამოცდილება:

26.09.2009-26.09.2012 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ზუსტ და საბუნებისმეტყველო მეცნიერებათა ფაკულტეტი, სრული პროფესორი

25.12.2006-22.06.2018 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, დირექტორი

01.09.2006-26.09.2009 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ზუსტ და საბუნებისმეტყველო მეცნიერებათა ფაკულტეტი, ასოცირებული პროფესორი

07.03.1987-25.12.2006 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, დირექტორის მოადგილე

17.01.1974-07.03.1987 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, სწავლული მდივანი

09.01.1971-07.01.1974 ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი, ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, უმცროსი მეცნიერ-თანამშრომელი

- Construction and investigation of hierarchical models for thermoelastic piezoelectric structures (217596), 2016-2019.
- Modeling and calculating in practice widely-distributed structures with complicated geometry (30/28), 2013-2015.
- Development of analytical and numerical methods for calculating of cusped prismatic shells and beams (D-13/18), 2012-2014.
- Some classes of PDE and systems with applications to mechanics and biology (SRNSF-CNR 09/04/30), 2012-2014.
- დრეკადობისა და თერმოდრეკადობის თეორიების ამოცანების გამოკვლევა მიკროსტრუქტურის მქონე სხეულებისათვის (GNFS/ST 08/3-388), 2009-2012.
- Non-classical problems of fluid-elastic cusped plate (beam) interaction (1-3339-TB-06), 2007-2009.
- Some nonclassical problems for thin structures (06-1000017-8886), 2007-2009.
- დეფორმად მყარ და თხევად ნაწილებისაგან შემდგარი გარემოს იერარქიული მათემატიკური მოდელების აგება და გამოკვლევა (GNSF/ST06/3-035), 2006-2008.
- Investigation of the mathematical models of cusped plates and bars (25/C/01CZ), 2001-2002.
- Mathematical Models for Elastic Cusped Plates and Bars (NATO PST.CLG.976426/5437), 2000-2002.

*On fluids in angular pipes and wedge-shaped canals*, by**George Jaiani (Speaker)**at The Fourth International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS", Tbilisi, Georgia, 13-15 September, 2023.*I. Vekua Institute of Applied Mathematics of TSU - 55*, by**Natalia Chinchaladze (Speaker), George Jaiani**at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.*On Fluids in Angular Pipes*, by**George Jaiani (Speaker)**at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.*ივანე ნიკურაძის ექსპერიმენტების შედეგებისა და კელდიშის სასაზღვრო ამოცანის მიმართების შესახებ*, by**George Jaiani (Speaker)**at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19-22 April, 2023.*Life and scientific activities of Ilia Vekua*, by**George Jaiani (Speaker)**at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.*Mathematical Hierarchical Models for Fluids*, by**George Jaiani (Speaker)**at XIII Annual International Meeting of the Georgian Mechanical Union, Batumi, Georgia, 24-26 August, 2022.*GOVERNING EQUATIONS FOR CONTINUITY EQUATION IN THE CASE OF PRISMATIC SHELL-LIKE DOMAINS WITHIN THE FRAMEWORK OF HIERARCHICAL MODELS*, by**George Jaiani (Speaker)**at XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University , Tbilisi, Georgia, 19-21 April, 2022.*N-th Approximation of Hierarchical Models for Cusped Kelvin-Voigt Plates with Variable Thickness*, by**George Jaiani (Speaker)**at 13th International ISAAC Congress, Ghent, Belgium, 02-06 August, 2021.*TICMI – 25*, by**George Jaiani (Speaker), Natalia Chinchaladze**at The Fifth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, Tbilisi, Georgia, 16-18 June, 2021.*Some comments concerning hierarchical models*, by**George Jaiani (Speaker), Natalia Chinchaladze**at XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-24 April, 2021.*Differential Hierarchical Models for Piezoelectric Prismatic Cusped Shells and Bars*, by**George Jaiani (Speaker)**at International Scientific Workshop Related Problems of Continuum Mechanics, Kutaisi, Georgia, from 31 October to 01 November, 2019.*On Hierarchical Models for Shells, Plates and Bars Constructed by Vekua’s Method*, by**George Jaiani (Speaker)**at X Annual meeting of the Georgian Mechanical Union , Telavi, Georgia, 26-28 September, 2019.*Piezoelectric Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at ADVANCED COURSES on Mathematical Models of Piezoelectric Solids and Related Problems , Tbilisi, Georgia, 23-26 September, 2019.*On Hierarchical Models for Piezoelectric Bars*, by**George Jaiani (Speaker)**at The Fourth International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, Tbilisi, Georgia, 23-26 September, 2019.*Piezoelectric Viscoelastic Kelvin-Voigt Cusped Prismatic Shells with Voids*, by**George Jaiani (Speaker)**at 13th International Conference on Advanced Computational Engineering and Experimenting , Athens, Greece, 01-05 July, 2019.*On application of I. Vekua’s dimension reduction method to hierarchical models of elastic shells*, by**Natalia Chinchaladze (Speaker), George Jaiani**at The Ninth Congress of Romanian Mathematicians, Galati, Romania, from 28 June to 03 July, 2019.*On BVPs for Piezoelectric Transversely Isotropic Cusped Bars*, by**George Jaiani (Speaker)**at XXXIII Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 23-25 April, 2019.*Double-Layer Piezoelectric Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at IX Annual Meeting of the Georgian Mechanical Union, Kutaisi, Georgia, 11-12 October, 2018.*Ilia Vekua Institute of Applied Mathematics of TSU – 50*, by**George Jaiani (Speaker)**at The Third International Conference „Modern Problems in Applied Mathematics“, Tbilisi, Georgia, 19-21 September, 2018.*Equations with Order Degeneracy and Application to Cusped Piezo-Electric Prismatic Shells*, by**George Jaiani (Speaker)**at ICM2018, Rio de Janeiro, Brazil, from 31 July to 10 August, 2018.*Hierarchical models for piezoelectric nonhomogeneous viscoelastic Kelvin-Voigt prismatic shells with voids*, by**George Jaiani (Speaker)**at XXXII Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 18-20 April, 2018.*Georgian Mechanics and Its Role in the Mathematical Educations*, by**George Jaiani (Speaker)**at Symposium Mechanics in Germany and Georgia , Bremen, Germany, 19-18 January, 2018.*Life and Activities of Professor David Gordeziani*, by**George Jaiani (Speaker)**at 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, Tbilisi, Georgia, 06-09 December, 2017.*Hierarchical Models for Micropolar Elastic Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at International Workshop “New developments in micropolar theory” , Berlin, Germany, 06-07 November, 2017.*Life, Activities, and Scientific Heritage of Ilia Vekua*, by**George Jaiani (Speaker)**at VIII Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 27-29 September, 2017.*Hierarchical Models for Viscoelastic Kelvin-Voigt Prismatic Shells with Voids*, by**George Jaiani (Speaker)**at ACEX2017, Vienna, Austria, 03-07 July, 2017.*Life and Activities of Ilia Vekua*, by**George Jaiani (Speaker)**at XXXI Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19 April, 2017.*On Elastic Multi-Layered Prismatic Structure*, by**George Jaiani (Speaker)**at VII International Joint Conference of the Georgian Mathematical Union & the Georgian Mechanical Union , Batumi, Georgia, 05-09 September, 2016.*On Cusped (tapered) Prismatic Shells*, by**George Jaiani (Speaker)**at XXIV International Congress of Theoretical and Applied Mechanics - ICTAM2016, Montreal, Canada, 21-26 August, 2016.*ANTIPLANE STRAIN (SHEAR) OF ORTHOTROPIC PRISMATIC SHELL-LIKE BODIES*, by**Natalia Chinchaladze (Speaker), George Jaiani**at SolMech40, Warsaw, Poland, from 19 August to 02 September, 2016.*Influence of different physical fields on setting boundary conditions for cusped prismatic bodies*, by**George Jaiani (Speaker)**at XXX Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 20-22 April, 2016.*Some results obtained and activities*, by**George Jaiani (Speaker)**at VI Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, from 29 September to 04 October, 2015.*On Peculiarities of Setting Boundary Conditions for Cusped Shells, Plates, and Bars*, by**George Jaiani (Speaker)**at II Advanced Courses in Applied Mathematics, Tbilisi, Georgia, 28-29 September, 2015.*On Elastic Thin Structures with Complicated Geometry*, by**George Jaiani (Speaker)**at Seminar of the Institute of Mechanics of the University of Berlin, Berlin, Germany, 07 July, 2015.*Models of Perpendicularly Linked Two and Three Elastic Bars*, by**George Jaiani (Speaker)**at 9th International Conference on Advanced Computational Engineering and Experimenting: ACEX2015, Munich, Germany, from 29 June to 02 July, 2015.*A Construction and investigation of an equivalent single layer model for calculation of multilayer elastic isotropic structures*, by**George Jaiani (Speaker)**at 29th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2015.*On models of layered prismatic shells*, by**George Jaiani (Speaker)**at V Annual meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 08-10 October, 2014.*On a Model of Layered prismatic Shells*, by**George Jaiani (Speaker)**at 8th International Conference on Advanced Computational Engineering and Experimenting: ACEX2014 , Paris, France, from 30 June to 03 July, 2014.*On a Version of Hierarchical Models of Layered Prismatic Shells*, by**George Jaiani (Speaker)**at Seminar (Host Prof. J. Wolf), Institute of Mathematics, Humboldt University, Berlin, Germany, 14 June, 2014.*A boundary-transmission problem for two rectangularly linked elastic bars*, by**Natalia Chinchaladze (Speaker), George Jaiani**at 28th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2014.*Hierarchical Models for Laminated Prismatic Shells*, by**George Jaiani (Speaker)**at IV Annual Meeting of the Georgian Mechanical Union , Kutaisi, Georgia, 08-10 November, 2013.*On Hierarchical Models of Prismatic Shells*, by**George Jaiani (Speaker)**at Scientific Session Dedicated to the 110th Anniversary of Viktor Kupradze, Tbilisi, Georgia, 04 November, 2013.*Elastic cusped rod, plate, prismatic and standard shell models*, by**George Jaiani (Speaker)**at XXII AIDAA Conference, Naples, Italy, 09-12 September, 2013.*I. Vekua Institute of Applied Mathematics of TSU – 45*, by**George Jaiani (Speaker)**at Second International Conference "Modern Problems in Applied Mathematics" Dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State University & 45th Anniversary of the I.Vekua Institute , Tbilisi, Georgia, 04-07 September, 2013.*Cusped shells, plates, and bars*, by**George Jaiani (Speaker)**at Second International Conference "Modern Problems in Applied Mathematics" Dedicated to the 95th Anniversary of the I. Javakhishvili Tbilisi State University & 45th Anniversary of the I.Vekua Institute , Tbilisi, Georgia, 04-07 September, 2013.*Some Hierarchical Models of Elastic Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at AMiTaNS’13 - 5th Conference Application of Mathematics in Technical and Natural Sciences , Albena, Bulgaria, 24-29 June, 2013.*On Hierarchical Models of Elastic Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at ICCS 17 - 17th International Conference on Composite Structures, Porto, Portugal, 17-23 June, 2013.*Peculiarities of the Second Hierarchical Model of Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at Workshop within the framework of SRNSF Project #D-13/18 “Development of analytical and numerical methods for calculating of cusped prismatic shells and beams” , Tbilisi, Georgia, 06 June, 2013.*Cusped Shell-like Structures*, by**George Jaiani (Speaker)**at Oberseminar of Applied Mathematiks quided by Prof. D.Kröner, Freiburg, Germany, 07 May, 2013.*Mixed Hierarchical Models of Elastic Prismatic Shells*, by**George Jaiani (Speaker)**at 27th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2013.*Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures*, by**George Jaiani (Speaker)**at III Annual Meeting of the Georgian Mechanical Union , Tbilisi, Georgia, 19-21 December, 2012.*Construction of Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures*, by**George Jaiani (Speaker)**at Italian-Georgian Workshop within the framework of CNR-SRNSF joint project, Rome, Italy, 25 October, 2012.*A Reissner-Mindlin Type Model of Plates of Variable Thickness*, by**George Jaiani (Speaker)**at 26th Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 23-25 April, 2012.*Mathematical Models of Elastic Cusped Shells, Plates, and Rods*, by**George Jaiani (Speaker)**at 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 Preside, Tbilisi, Georgia, 09-14 September, 2011.*On Cusped Shell-like Structures*, by**George Jaiani (Speaker)**at EUROMECH527, Wittenberg, Germany, 21-27 August, 2011.*On Peculiarities of Two Models for Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at 25th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 20-24 April, 2011.*On an Investigation of the Cusped Structures*, by**George Jaiani (Speaker)**at The First Annual Meeting of the Georgian Mechanical Union, Tbilisi, Georgia, 20-22 December, 2010.*On Concentrated Contact Interactions in Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at Seminar guided by F. Lanzara Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 10 November, 2010.*Cusped plates under Action of concentrated bending moment and concentrated forces*, by**George Jaiani (Speaker)**at International Conference “Informatik and Computer Technologies, Modelling, Control”, Dedicated to the 80th Anniversary of Acad. I.V. Prangishvili’s Birth, Tbilisi, Georgia, 01-04 November, 2010.*Cusped Prismatic Shells and Beams*, by**George Jaiani (Speaker)**at International Conference “Topical Problems of Continuum Mechanics”, Dilijan, Armenia, 04-08 October, 2010.*Cusped Shells and Beams*, by**George Jaiani (Speaker)**at First International Conference of Georgian Mathematical Union, Tbilisi, Georgia, 12-19 September, 2010.*Partial Differential Equations in Thin Prismatic Domains*, by**George Jaiani (Speaker)**at 24th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 21-23 April, 2010.*On Concentrated Contact Interactions in Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at Seminar guided by Prof. P.E. Ricci, Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 11 November, 2009.*Cusped Shells, Plates, and Beams*, by**George Jaiani (Speaker)**at V Congress of Georgian Mathematicians , Batumi-Kutaisi, Georgia, 09-12 October, 2009.*A Method of Fundamental Solutions Depending on the Argument*, by**George Jaiani (Speaker)**at Advanced Courses on Methods of Effective and Explicit Solving of Boundary Value Problems, Tbilisi, Georgia, 06-08 October, 2009.*BVPs for the Systems of Degenerate Second Order PDEs of Hierarchical Models of Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at International Symposium on Nonlinear PDEs and Applications, Catania, Italy, 22-25 June, 2009.*Participation of I.Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University in EU Scientific Programmes*, by**George Jaiani (Speaker)**at Stakeholders Conference "EU-EECA S&T Cooperation: The Way Forward", Athens, Greece, 16-17 June, 2009.*On Some Classes of Special Functions*, by**George Jaiani (Speaker)**at 4th Workshop on "Advanced Special Functions and Solution of PDEs", Sabaudia, Italy, 24-29 May, 2009.*Equations with order Degeneration and Axially Symmetric Solutions of Elliptic Equations*, by**George Jaiani (Speaker)**at 23th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 22-24 April, 2009.*Some Nonclassical Problems for Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at Final Meeting within the framework of INTAS Project for South Caucasian Republics # 06-1000017-8886, Rome, Italy, 22-23 January, 2009.*Partial differential equations in thin domains*, by**George Jaiani (Speaker)**at International Conference on "Modern Problems in Applied Mathematics" Dedicated to the 90th Anniversary of the I. Javakhishvili Tbilisi State University and 40th Anniversary of the I. Vekua Institute , Tbilisi, Georgia, 07-09 October, 2008.*Some Nonclassical Problems for Thin Structures*, by**George Jaiani (Speaker)**at Seminar (guided by Prof. J.Cagnol), Department of Mechanics, Paris, France, 15 September, 2008.*The Flamant and Carothers Type Problems for Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at 22th International Congress of Theoretical and Applied Mathematics - ICTAM2008, Adelaide, Australia, 24-28 August, 2008.*On Existence Theorems for Cuspidal Prismatic Shell-like Bodies*, by**George Jaiani (Speaker)**at Fifth European Congress of Mathematics - 5ECM , Amsterdam, Netherlands, 13-17 July, 2008.*(სტენდური)**Existence and Uniqueness Theorems for Cusped Prismatic Shells in the N-thHirarchicalModel*, by**George Jaiani (Speaker)**at Seminar "Partielle Differentialgleichungen" (guided by Prof. B.-W. Schulze), Institutfuer Mathematik, Potsdam, Germany, 09 July, 2008.*Systems of Linear Partial Differential Equations in Cuspidal Prismatic Domains*, by**George Jaiani (Speaker)**at International Conference on Analysis, PDEs and Applications , Rome, Italy, from 30 June to 03 July, 2008.*On Mathematical Models of Cusped Beams, Plates, and Shells*, by**George Jaiani (Speaker)**at South-Caucasian Summer School on Mathematical Modeling of Thin Structures , Tsakhkadzor, Armenia, 15-21 June, 2008.*On Solid-Fluid Interaction Hierarchical Models*, by**George Jaiani (Speaker), Natalia Chinchaladze**at 22th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 22-25 April, 2008.*On a Class of Special Functions*, by**George Jaiani (Speaker)**at 22th Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics , Tbilisi, Georgia, 22-25 April, 2008.*Elastic Cusped Beam, Plate, and Shell Models and Their Relation to Three-dimensional Linear Models*, by**George Jaiani (Speaker)**at Analysis and PDE Seminar (guided by Prof. R.P. Gilbert), Delaware, USA, 08 October, 2007.*On a System of Elliptic Partial Differential Equations with Order Degeneration*, by**George Jaiani (Speaker)**at 6th International ISAAC Congress , Ankara, Turkey, 13-18 August, 2007.*On a Nonlocal Boundary Value Problem for a System of Singular Differential Equations and Applications to Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at 6th International Congress on Industrial and Applied Mathematics ICIAM07 , Zurich, Switzerland, 16 July, 2007.*Elastic Cusped Beam, Plate, and Shell Hierarchical Models and their Relation to the 3D Classical Linear Models*, by**George Jaiani (Speaker)**at International Conference Dedicated to the Centenary of IliaVekua on Differential Equations, theory of Functions, and Applications, Novosibirsk, Russia, from 28 May to 02 June, 2007.*Physical and Mathematical Moments and Analysis of Peculiarities of Setting of Boundary Conditions for Cusped Prismatic Shells and Beams*, by**George Jaiani (Speaker)**at IUTAM Symposium On Relation of Shell, Plate, Beam, and 3D Models Dedicated to Centenary of Ilia Vekua, Tbilisi, Georgia, 23-27 April, 2007.*On the Carothers’ Type Problem for a Cusped Prismatic Shell-like Body*, by**George Jaiani (Speaker)**at Seminar guided by Prof. P. Podio-Guidugli, Dipartmento di Ingegneria, Universitá di Roma 2 “TorVergata, Rome, Italy, 08 May, 2006.*Cusped Plates under Action of Concentrated Forces and Moments*, by**George Jaiani (Speaker)**at IV Congress of Georgian Mathematicians, Tbilisi, Georgia, 14-16 November, 2005.*On a Nonlocal Problem for a System of Singular Differential Equations Connected with Cusped Prismatic Shells*, by**George Jaiani (Speaker)**at International Workshop on Degenerate Partial Differential Equations, Weighted Spaces, and Applications to Mechanics, Tbilisi, Georgia, 14-16 September, 2005.*Bending of a Cusped Plate with Big Deflections*, by**George Jaiani (Speaker)**at Seminar guided by Prof. P.E. Ricci, Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 11 November, 2004.*On Elastic Cusped Prismatic Shells and Beams*, by**George Jaiani (Speaker)**at Seminar guided by Prof. P. Podio-Guidugli, Dipartmento di Ingegneria, Rome, Italy, 29 October, 2004.*On a System of Degenerate Elliptic Equations Related to Cusped Plates*, by**George Jaiani (Speaker)**at Seminar guided by Prof. H.Begehr, FB Mathematik und Informatik, Berlin, Germany, 22 June, 2004.*Tension-Compression Vibration of Cusped Plates within Vekua's Model*, by**George Jaiani (Speaker)**at Seminar "Partielle Differentialgleichungen" (guided by Prof. B.-W. Schulze), Potsdam, Germany, 16 June, 2004.*Cusped Beams, Plates, and Shells*, by**George Jaiani (Speaker)**at Seminar "Partielle Differentialgleichungen" (guided by Prof. B.-W. Schulze), Potsdam, Germany, 21 April, 2004.*On Some Boundary Value Problems for Cusped Plates and Beams*, by**George Jaiani (Speaker)**at Seminar guided by Prof. P.E. Ricci, Dipartamento di Matematica-Istituto "Guido Castellnuovo", Rome, Italy, 17 October, 2002.*Weighted BVPs and the theory of cusped elastic plates and beams*, by**George Jaiani (Speaker)**at Seminar on Partial Differential Equations (Guided by Prof. J. Eisner), Prague, Czech Republic, 18 April, 2002.*Static and Dynamical Problems for Cusped Elastic Beams*, by**George Jaiani (Speaker)**at International ConferenceonMultifield problems, Stuttgart, Germany, 08-10 April, 2002.

**George Jaiani**,*Even Order Singular Elliptic Equations*, Lecture Notes of TICMI, 24,1-191, Tbilisi University Street, 2023.**George Jaiani**,*Hierarchical Models of Conduction of Heat in Continua Contained in Prismatic Shell-like Domains*, Recent Approaches in the Theory of Plates and Plate-Like Structures pp 89–102, Springer, 2022.**George Jaiani, Natalia Chinchaladze**,*Some comments on hierarchical models*, Seminar of I. Vekua Institute of Applied Mathematics, REPORTS, v 47, 30-35, Tbilisi University Press, 2021.**George Jaiani, Natalia Chinchaladze**,*A survey of results on cusped standard and prismatic shells, in particular plates, and bars and on the corresponding singular PDEs*, Continuum Mechanics and Thermodynamics, Vol. 33, pages1171–1198, Springer, 2021.**George Jaiani**,*Functionally Graded Couette Flow in a Duct*, Bulletin of TICMI, vol. 24, No. 2, pp. 75-82, Tbilisi University Press, 2020.**George Jaiani, David Natroshvili**,*Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2019*, Springer Proceedings in Mathematics & Statistics, v. 334, Springer, 2020.**George Jaiani**,*On BVPs for piezoelectric transversely isotropic cusped bars*, Bulletin of TICMI, vol. 23, No. 1, pp. 35-66, Tbilisi University Press, 2019.**George Jaiani**,*Mathematical Models of Mechanics of Continua (Second Edition)*, Tbilisi, 526 p. (in Georgian), Tbilisi University Press, 2018.**George Jaiani, Lamara Bitsadze**,*Basic problems of thermoelasticity with microtemperatures for the half-space*, Journal of Thermal Stresses, 41 (9), 1101-1114, Taylor and Francis Ltd., 2018.**George Jaiani, Gia Giorgadze, Giorgi Akhalaia, Nino Manjavidze**,*The impact of Bojarski's works on the theory of elliptic partial differential equations on the plane*, Proceedings of I. Vekua Institute of Applied Mathematics, 68, 3-15, Tbilisi University Press, 2018.**George Jaiani**,*Piezoelectric Viscoelastic Kelvin-Voigt Cusped Prismatic Shells*, Lecture Notes of TICMI, 19, 83 p., Tbilisi University Press, 2018.**George Jaiani, David Natroshvili**,*Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2017*, Springer Proceedings in Mathematics & Statistics, v. 276, Springer, 2018.**Natalia Chinchaladze, George Jaiani**,*Antiplane strain (shear) of orthotropic nonhomogeneous prismatic shell-like bodies*, Arch. Mech., Vol. 69, 4–5, pp. 305–316, IPPT PAN, 2017.**George Jaiani**,*Hierarchical models for viscoelastic Kelvin-Voigt prismatic shells with voids*, Bulletin of TICMI, 21 (1), 33-44, Tbilisi University Press, 2017.**George Jaiani**,*On micropolar elastic cusped prismatic shells*, Transactions of A. Razmadze Mathematical Institute, 170, 376-384, Tbilisi University Press, 2016.**George Jaiani**,*Vekua type hierarchical models for prismatic shells with mixed conditions on face surfaces*, Composite Structures,152, 226-238, Elsevier, 2016.**Lamara Bitsadze, George Jaiani**,*On basic problems for elastic prismatic shells with microtemperatures*, ZAMM - Z. Angew. Math. Mech., 96 (9), 1082–1088, Wiley, 2016.**George Jaiani**,*A Model of Layered Prismatic Shells*, Continuum Mechanics and Thermodynamics, 28, 765-784, Springer, 2016.**George Jaiani**,*Antiplane Strain (Shear) of Isotropic Non-Homogeneous Prismatic Shell-Like Bodies*, BULL. TICMI, 19 (2), 40-54, Tbilisi University Press, 2015.**George Jaiani**,*A Boundary-Contact Problem for Two Rectangularly Linked Elastic Bars*, BULL. TICMI, 18 (2), 82-101, Tbilisi University Press, 2014.**George Jaiani**,*Differential Hierarchical Models for Elastic Prismatic Shells with Microtemperatures*, ZAMM - Z. Angew. Math. Mech., 95 (1), 77-90, Wiley, 2013.**George Jaiani**,*Hierarchical Models for Prismatic Shells with Mixed Conditions on Face Surfaces*, Bull. TICMI, 17 (2), 24-48, Tbilisi University Press, 2013.**George Jaiani**,*On a Model of Layered Prismatic Shells*, Proceedings of I. Vekua Institute of Applied Mathematics, 63, 13-24, Tbilisi University Press, 2013.**Lamara Bitsadze, George Jaiani**,*Some Basic Boundary Value Problems of the Plane Thermoelasticity with Microtemperatures*, Mathematical Methods in the Applied Sciences, 36 (8), 956–966, Wiley, 2013.**Natalia Chinchaladze, Robert Gilbert, George Jaiani, Sergo Kharibegashvili, David Natroshvili**,*Initial-boundary value problems for solid–fluid composite structures*, Zeitschrift für angewandte Mathematik und Physik volume 63, pages625–653, Springer, 2012.**Lamara Bitsadze, George Jaiani**,*Explicit solutions of BVPs of 2D theory of termoelasticity with micritemperatures for the half-plane*, Proceedings of I. Vekua Institute of Applied Mathematics Volume 61-62, 1-13, Tbilisi University Press, 2012.**George Jaiani**,*Zero Order Approximation of Hierarchical Models for Elastic Prismatic Shells with Microtemperatures*, Bulletin of TICMI, 16 (2), 66-73, Tbilisi University Press, 2012.**Lamara Bitsadze, George Jaiani**,*Theorems for the Third and Fourth BVPs of 2D Theory of Termoelastisty with Microtemperatures*, Mechanics of The Continuous Environment Issues, 99-118, Nova Science Publisher, 2012.**George Jaiani**,*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, Nova Science Publisher, 2012.**Natalia Chinchaladze, George Jaiani, Boris Maistrenko, Paolo Podio-Guidugli**,*Concentrated contact interactions in cuspidate prismatic shell-like bodies*, Archive of Applied Mechanics 81(10):1487-1505, Springer, 2011.**Mikheil Basheleishvili, Lamara Bitsadze, George Jaiani**,*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, Tbilisi University Press, 2011.**George Jaiani**,*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, Tbilisi University Press, 2011.**George Jaiani**,*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, Tbilisi University Press, 2011.**George Jaiani**,*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, Springer, 2011.**George Jaiani**,*Cusped Shell-like Structures*, SpringerBriefs in Applied Science and Technology, Springer-Heidelberg-Dordrecht-London-New York, 84 p., Springer, 2011.**Natalia Chinchaladze, Robert Gilbert, George Jaiani, Sergo Kharibegashvili, David Natroshvili**,*Cusped Elastic Beams under the Action of Stresses and Concentrated Forces*, Applicable Analysis, Volume 89, No. 5, 757–774, Taylor and Francis Ltd., 2010.**George Jaiani**,*Hierarchical Models for Bi-modular Prismatic Rods*, Proceedings of the International Scientific-Technical Conference (June 15-17, 2010, Tbilisi) “Civil Engineering Mecha-nics Actual Problems” in Scientific-Technical Journal “Building”, 2 (17), 208-210, Georgian Technical University, 2010.**George Jaiani**,*Cusped Prismatic Shells and Beams*, Proceedings of the International Conference (October 4-8, 2010, Dilijan, Armenia) “Topical Problems of Continuum Mechanics”, 2, 286-290, National Academy of Sciences - Armenia, 2010.**Natalia Chinchaladze, George Jaiani**,*Cylindrical bending of a cusped plate with big deflections*, Journal of Mathematical Sciences, Volume 157, Number 1, 52-69 , Springer, 2009.**George Jaiani**,*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, Tbilisi University Press, 2009.**Natalia Chinchaladze, Robert Gilbert, George Jaiani, Sergo Kharibegashvili, David Natroshvili**,*Existence and Uniqueness Theorems for Cusped Prismatic Shells in the N-th Hierarchical Model*, Mathematical Methods in Applied Sciences, Vol. 31, No. 11, 1345-1367, Wiley, 2008.**George Jaiani**,*A Cusped Prismatic Shell-like Body under the Action of Concentrated Moments*, ZAMP-Zeitschrift fuer Angewandte Mathematik und Physik, 59, 518-536, Springer, 2008.**George Jaiani**,*On a Class of Special Functions*, Reports of Enlarged Sessions of the Seminar of I.Vekua Institute of Applied Mathematics, 22, 41-45, Tbilisi University Press, 2008.**George Jaiani**,*On a Nonlocal Boundary Value problem for a System of Singular Differential Equations*, Applicable Analysis: An International Journal, 87 (1), 83 – 97, Taylor and Francis Ltd., 2008.**George Jaiani**,*Nonlocal boundary value problem for a system of singular differential equations and applications to cusped prismatic shells*, PAMM, 7(1), Pages 2090011-2090012, Wiley, 2008.**George Jaiani**,*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, Springer, 2008.**George Jaiani, Paolo Podio-Guidugli**,*IUTAM Symposium on Relations of Shell Plate Beam and 3D Models*, IUTAM Bookseries, vol. 9, Springer, 2008.**George Jaiani**,*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, Tbilisi University Press, 2007.**George Jaiani, B.-Wolfgang Schulze**,*Some degenerate elliptic systems and applications to cusped plates*, Mathematische Nachrichten, 280 (4), 388-407, Wiley, 2007.**George Jaiani**,*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, 1, 191-196, Kutaisi State University, 2007.**George Jaiani**,*On Some Classes of Special Functions*, Proceedings of I.Vekua Institute of Applied Mathematics, 56-57, 1-20, 2006-2007, Tbilisi University Press, 2006.**George Jaiani, Alios Kufner**,*Oscillation of Cusped Euler-Bernoulli Beams and Kirchhoff-Love Plates*, Hacettepe Journal of Mathematics and Statistics Volume 35 (1), 7 – 53, Hacettepe University, 2006.**George Jaiani**,*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, Vol. XXX, facs. 1, 65-82, Academia Nazionale delle Scienze detta dei XL, 2006.**Jemal Antidze, George Jaiani, Tsitsino Gabeskiria**,*English-Georgian-Russian-German-French-Italian Glossary of Mathematical Terms*, Lecture Notes of TICMI, vol.6, TSU, 2005 (Georgian, 230 pages), Tbilisi University Press, 2005.**George Jaiani**,*Mathematical Models of Mechanics of Continua*, Tbilisi, 526 p. (in Georgian), Tbilisi University Press, 2004.**George Jaiani**,*Bending of a Cusped Plate on an Elastic Foundation*, Bull. of TICMI, 8, 22-31, Tbilisi University Press, 2004.**George Jaiani, Sergo Kharibegashvili, David Natroshvili, Wendland, W.L.**,*Two-dimensional Hierarchical Models for Prismatic Shells with Thickness Vanishing at the Boundary*, Journal of Elasticity, 77 (2), 95-122, Springer, 2004.**George Jaiani, B.-Wolfgang Schulze**,*Some Degenerate Elliptic Systems and Applications to Cusped Plates*, Preprint 2004/27, Universitaet Potsdam, Institut fuer Mathematik, Potsdam, Universitaet Potsdam, 2004.**George Jaiani**,*Some Remarks Concerning Cusped Plates and Beams*, Transactions of The Georgian Technical University, 1 (447), 44-48, Georgian Technical University, 2003.**George Jaiani, Sergo Kharibegashvili, David Natroshvili, Wendland, W.L.**,*Hierarchical Models for Elastic Cusped Plates and Beams*, Lecture Notes of TICMI, 4, 121 p., Tbilisi University Press, 2003.**George Jaiani**,*Static and Dynamical Problems for a Cusped Beam*, Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, 52, 1-29, Tbilisi University Press, 2002.**George Jaiani**,*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, Tbilisi University Press, 2002.**George Jaiani, Sergo Kharibegashvili, David Natroshvili, Wendland, W.L.**,*Hierarchical Models for Cusped Plates*, Preprint 2002/13, University of Stuttgart, Mathematical Institute A, Stuttgart, University of Stuttgart, 2002.**George Jaiani, Alios Kufner**,*Oscillation of Cusped Euler-Bernulli Beams and Kirchhoff-Love Plates*, Preprint 145, Academy of Sciences of the Czech Republic, Mathematical Institute, Prague, Academy of Sciences of the Czech Republic, 2002.**George Jaiani**,*Theory of Cusped Euler-Bernoulli Beams and Kirchoff-Love Plates*, Lecture Notes of TICMI, 3, 132 p., Tbilisi University Press, 2002.**Natalia Chinchaladze, George Jaiani**,*On a cusped elastic solid-fluid interaction problem*, AMIM, vol. 6, No. 2, 25-64, Tbilisi University Press, 2001.**George Jaiani**,*On a Mathematical Model of Bars with Variable Rectangular Cross-sections*, ZAMM-Zeitschrift fuer Angewandte Mathematik und Mechanik, 81 (3), 147-173, Wiley, 2001.**George Jaiani**,*Application of Vekua's Dimension Reduction Method to Cusped Plates and Bars*, Bull. TICMI 5, 27-34, Tbilisi University Press, 2001.**George Jaiani, Sergo Kharibegashvili**,*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, 188-248, World Scientific, 2001.**George Jaiani, Sergo Kharibegashvili**,*On a Vibration of an Elastic Cusped Bar*, Bull. of TICMI, 4, 24-28, Tbilisi University Press, 2000.**Giorgi Devdariani, George Jaiani, Sergo Kharibegashvili, David Natroshvili**,*The First Boundary Value Problem for the System of Cusped Prismatic Shells in the First Approximation*, Appl. Math. Inform., 5 (2), 26-46, Tbilisi University Press, 2000.