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 MicrotemperaturesZAMM - Z. Angew. Math. Mech.,  95 (1), 77-90, 2015

105. 106. 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) 

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.

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

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)

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. The second edition,  2015 (in Georgian): http://www.viam.science.tsu.ge/others/ticmi/lecturecourses/maing.htm

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, 220p.

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, 227p.

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 p. (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 p.

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 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)

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)

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, 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

2.   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)

3.   Second International Conference on "Modern Problems in Applied Mathematics", Scientific Popular Journal - Mathematics, No. 2, 115-118, 2014 (with N. Chinchaladze)

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 (Tbilisi, 1997). Mem. Differential Equations and Math. Phys. 12 (1997), 1-10 (with R. Gilbert, G. Manjavidze)

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