Academician Ilia N. Vekua

23.IV.1907 − 2.XII.1977

EDUCATION AND SCIENTIFIC DEGREES
 
1925-1930 Student of Tbilisi State University, Faculty of Physics and Mathematics
1930-1933 Post-Graduate Student of USSR Academy of Sciences
1937 Cand.Sci.(Phys.& MAth.)
1940 Dr.Sci.(Phys.& Math.)

POSITION HELD AND ACADEMIC EXPERIENCE
 
1929-1933 Observer of Georgian Geophysics Observatory
1933-1937 Junior researcher of Tbilisi State University, Faculty of Physics and Mathamatics
1933-1940 Scientific secretary of Mathematical Institute of the Georgian Branch of the USSR Academy of Sciences
1936-1938 Head of the theoretical geophysics department at the Geophysics Institute of the Georgian Branch of the USSR Academy of Sciences.
1937-1940 Docent of Tbilisi State University
1940 Full Professor of Tbilisi State University.
1939-1946 Head of the theoretical mechanics chair at the Transcaucasian Institute of Means of Communication
1940-1941 Deputy Director of the Mathematical Institute of the Georgian Academy of Sciences
1940-1944 Dean of the Faculty of physics and mathematics
1940-1947 Head of the Chair of geometry of Tbilisi State University
1941-1944 Senior researcher of the Mathematical Institute of the Georgian Academy of Sciences
1943-1951 Head of the applied mathematics department at the Tbilisi Mathematical Institute
1939-1946 Head of the theoretical mechanics chair at the Transcaucasian Institute of Means of Communication
1944-1947 Prorector of Tbilisi State University
1947-1950 Head of the Mathematics and Natural Science Departmant of the Georgian Academy of Sciences.
1947-1951 Academician-Secretary of the Georgian Academy of Sciences
1951-1952 Head of Department at N.E. Zhukovski Central Aerodynamical Institute
1952-1953 Deputy Director of the Institute of Precise Mechanics and Computer Hardware of the USSR Academy of Sciences
1951-1954 Head of the Theoretical Mechanics Chair at Moscow Institute of Physics and Engineering
1954-1959 Deputy Director of V.A. Steklov Mathematical Institute of the USSR Academy of Sciences
1954-1959 Member of the Bureau of Physics and Mathematics Department of the USSR Academy of Sciences
1959-1964 Rector of Novosibirsk University
1959-1961 Head of the Theoretical Department at the Hydrodynamics Institute of the Siberian Branch of the USSR Academy of Sciences
1959-1964 Head of the Mathematical Physics Chair of Novosibirsk University
1964 Member of Presidium of Academy of Sciences of the USSR
1964-1965 Vice-President of the Georgian Academy of Sciences
1966-1972 Head of the Higher Mathematics Chair at Tbilisi State University;
Rector of Tbilisi State University
1969 Member of the Polish Society of Theoretical and Applied Mechanics
Honorary Senator of Jena University
Honorary Doctor of Halle University
1968-1977 Director of the Applied Mathematics Institute at the Tbilisi State University
1972-1977 President of the Georgian Academy of Sciences

PUBLIC ACTIVITY
 
1959-1965 Member of Novosibirsk Regional Committee
1959-1963 Member of Novosibirsk City Committee
1961-1963 Deputy of Novosibirsk City Soviet of Working People
1963-1965 Deputy of Novosibirsk Regional Soviet of deputies of working people, Member of Novosibirsk Regional Committee
1966 Deputy of Supreme Soviet of the USSR (and further of all convocations).

RESEARCH  INTERESTS
  • Theory of partial differenntial equations
  • Theory of singular integral equations
  • Theory of generalized analytic functions
  • Mathematical theory of elastic shells
MEMBERSHIP IN SCIENTIFIC ACADEMIES
 
1944 Corresponding Member of the Georgian Academy of Sciences
1946 Corresponding Member of the USSR Academy of Sciences, Academician of Academy of Sciences of the Georgian SSR
1958 Academician of the USSR Academy of Sciences
1968 Foreign Member of German Academy of Sciences
1969 Foreign Member of the Academy of Natural Sciences "Leopoldina" (Halle)
1976 Foreign Member of Academy of Sciences of Literature and Art (Sicilian Academy of Sciences)

PRIZES AND AWARDS
 
1950 Stalin Prize of the second degree for research work "New methods of solution of elliptic equations". (Russian), published in 1948.
1975 Order of Lenin for scientific work "Generalized analytic functions".(Russian), published in 1959.
1984 State Prize for research work " Some general methods of constructing various versions of the shell theory". (Russian), published in 1982.

MAIN SCIENTIFIC PAPERS AND BOOKS DEDICATED TO THE LIFE
AND ACTIVITIES OF I. VEKUA
  1. List of works of I.N.Vekua 1937-1947. - In: Mathematics in the USSR for 30 years, 1917-1947. M.-L., 1948, pp. 425-426, 549, 675, 823.
  2. Works of I.N.Vekua. Advances of Mathematical Sciences.- 1950, v.5, issue 3, 167-169.
  3. Gussov V.V. Development of the theory of cylindrical functions in Russia and in the USSR. - In: Historical and Mathematical Investigations. M., 1953, issue 6, 446-447. Creation by I.N. Vekua of a new general method of construction of the theory of cylindrical functions.
  4. Henrici P. A survey of I.N.Vekua's theory of elliptic partial differential equations with analytic coefficients. Zs. angew. Math. Phys., 1957, v.8, Fasc. 3, 169-203
  5. Vekua Ilia Nestorovich.- In: Biographical dictionary of scientists of natural and technical sciences. M., Big Soviet Encyclopaedia, v.1, 1958, 151-152.
  6. Vekua Ilia Nesterovich. (materials to the bibliography). - In: Mathematics in the USSR for 40 years 1917-1957, v. 2. Biobibliography. M., Publishing House of Physico-Mathematical Literature, 1959, 121-122.
  7. Vekua Ilia Nesterovich. Ukrainean Encyclopaedia. v. 2, 1960, 255-256.
  8. Ilia Nesterovicj Vekua. Introductory paper of I.I. Daniljuk. Publishing House of Academy of Sciences of the USSR, 1963, 47 p. (Materials to the biobibliography of scientists of The USSR. Ser. Mathematics. Issue 9).
  9. Bitsadze A. Ilia Nesterovich Vekua. Tbilisi, "Metsniereba", 1967.
  10. Mania G. and Khvedelidze B. Ilia Vekua. Tbilisi Univ. Press, Tbilisi, 1967, p.76.
  11. Vekua Ilia Nesterovich. (Materials to the Bibliography). In: Mathematics in the USSR 1958-1967, v.2. Biobibliography. Issue 1, A-L. M., "Nauka", 1969, p.226.
  12. Vekua Ilia Nesterovich. Big Soviet Encyclopaedia, v.4, 1971, issue 3, p. 370.
  13. To the 70th anniversary of academician Ilia Vekua. Tbilisi Univ. Press. Tbilisi, 46p.
  14. Ilia Nesterovich Vekua. Advances of mathematical sciences, 1977, T. 32, issue 2, 3-21. - List of publications of I.N. Vekua, pp.20-21. Signed by P.S. Alexandrov, A.V. Bitsadze, M.I. Vishik, O.A. Oleinik.
  15. Vekua Ilia Nesterovich. Georgian Soviet Encyclopaedia, v.4,1979, p. 46.
  16. Obolashvili E. Academician Ilia Vekua, Tbilisi, 1982, 32p.
  17. Vekua Ilia Nesterovich. - In: Academy of Sciences of the USSR. Siberian branch. Personal staff. 1957-1982. Novosibirsk, "Nauka" Publishing House, Siberian branch, 1982, p. 20.
PROCEEDINGS OF THE SYMPOSIA
IN HONOUR OF I.VEKUA
  1. Theory of shells. Proc. Third IUTAM Symp. on shell theory dedicated to the memory of acad. I.N. Vekua. Tbilisi, U.S.S.R., August 22-28, 1978, North-Holland publishing company, 704 p. Contents: Kharadze E.K. Life and Activities of Ilia N. Vekua, p. 3-30.
  2. Memoirs on Differential Equations and Mathematical physics. Proc. Intern.Symposium "Differential Equations and Mathematical Physics" dedicated to the 90th birthday anniversary of Academician Ilia Vekua, Tbilisi,1997.
Main Publications
 

(i) monographs

  1. New methods of solution of elliptic equations. (Russian) Gostekhizdat, Moscow-Leningrad, 1948, 296 p.
  2. Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben mit einer Anwendung in der Theorie der Schalen. Deutscher Verlag. Wiss., 1956, p. 107.
  3. Generalized analytic functions. (Russian) Fizmat giz, Moscow, 1959, 628 p.
  4. Systems of first order differential equations of elliptic type and boundary value problems with an application to the shell theory. (Chinese) Peking, Gao den tsiya-o-yu chuban-she, 1960, VII , 204 p.
  5. Generalized analytic functions. Oxford-London-New York-Paris, 1962, 668 p.
  6. Verallgemeinerte analytische Funktionen. Berlin, Akad. Verlag, 1963, 538 p.
  7. On a version of the theory of shallow thin shells. (Russian) Izd. Novosib. Gos. Univ., Novosibirsk, 1964, 68 p.
  8. Theory of thin and shallow shells of varying thickness. (Russian) Izd. Novosib. Gos. Univ., Novosibirsk, 1964, 39 p.
  9. Fundamentals of tensor analysis. (Russian) Izd. Novosib. Gos. Univ., Novosibirsk, 1964, 138 p.
  10. On a version of the bending theory of elastic shells. Univ. Maryland, USA, 1964, 42 p.
  11. Fundamentals of tensor analysis. (Russian) Tbilisi University Press, Tbilisi, 1967, 137 p.
  12. New methods for solving elliptic equations. North-Holland Publ. Co., Amsterdam, 1967.
  13. Variational principles of construction of the shell theory. (Russian) Tbilisi University Press, Tbilisi, 1970, 17 p.
  14. Fundamentals of tensor analysis and theory of covariants. (Russian) Nauka, Moscow, 1978, 296 p.
  15. Some general methods of constructing various versions of shell theory. (Russian) Nauka, Moscow, 1982, 286 p.
  16. Fundamentals of tensor analysis and theory of covariants. (Georgian), Metcniereba, Tbilisi, 1982, 365 p.
  17. Shell theory: general methods of construction. Pitman Advanced Publishing Program, Boston-London-Melbourne, 1985, 287 p.
  18. Generalized analytic functions.(Russian).2nd ed.,revised, Nauka, Moskow, 1988, 509 p.
(ii) papers
  1. Problem of torsion of a circular cylinder reinforced with a longitudinal circular rod. (Russian) Izv. Akad. Nauk SSSR, Otd. Mat. Estestv. Nauk, Ser. 7(1933), No. 3, 373-386 (coauthor A. K. Rukhadze).
  2. Torsion and bending by transverse force of a bar composed of two elastic materials bounded by confocal ellipses. (Russian) Prikl. Mat. Mekh. 1(1933), No. 2, 167-178 (coauthor A. K. Rukhadze).
  3. Propagation of elastic waves in an infinite layer bounded by two parallel planes. (Russian) Proc. II All-Union Math. Congr. (Leningrad, June 24-30, 1934), (Russian) vol. 2, 363-364, USSR Acad. Sci., Moscow-Leningrad, 1936.
  4. Sur une représentation complèxe de la solution générale des équations du problème stationnaire plan de la théorie de l'elasticité. C. R. Acad. Sci. URSS, 16(1937), No. 3, 155-160.
  5. Sur la représentation générale des solutions de équations aux dérivées partielles du second ordre. C. R. Acad. Sci. URSS, 17(1937), No. 6, 295-299.
  6. A general representation of solutions of partial differential equations of elliptic type which are linear with respect to the Laplace operator. (Russian) Trudy Tbilis. Mat. Inst. 2(1937), 227-240.
  7. A boundary value problem of oscillation of an infinite layer. (Georgian) Trudy Tbilis. Mat. Inst. 1(1937), 141-164.
  8. To the question of propagation of elastic waves in an infinite layer bounded by two parallel planes. (Russian) Trudy Tbilis. Geophys. Inst. 2(1937), 23-50.
  9. Some remarks in connection with I. G. Kurdiani's paper "Some problems of stratification instability of air masses". (Russian) Trudy Tbilis. Geophys. Inst. 4(1939), 165-171.
  10. A complex representation of solutions of elliptic differential equations and its application to boundary value problems. (Russian) Trudy Tbilis. Mat. Inst. 7(1939), 161-253.
  11. Sur les équations intégrales linéaires singulières contenant des intégrales au sens de la valeur principale de Cauchy. C. R. Acad. Sci. URSS, 26(1940), No. 4, 327-330.
  12. Boundary value problems of the theory of linear elliptic differential equations with two independent variables 1. (Russian) Soobshch, Gruz. Fil. Akad. Nauk SSSR, 1(1940), No. 1, 29-34.
  13. Boundary value problems of the theory of linear elliptic differential equations with two independent variables 2. (Russian) Soobshch. Gruz. Fil. Akad. Nauk SSSR, 1(1940), No. 3, 181-186.
  14. Boundary value problems of the theory of linear elliptic differential equations with two independent variables 3. (Russian) Soobshch. Gruz. Fil. Akad. Nauk SSSR, 1(1940), No. 7, 497-500.
  15. Remarks in connection with the Fourier method. (Russian) Soobshch. Gruz. Fil. Akad. Nauk SSSR, 1(1940), No. 9, 647-650 (coauthor D. F. Kharazov).
  16. An application of Academician N. Muskhelishvili's method to the solution of boundary value problems of the plane theory of elasticity of an anisotropic medium. (Russian) Soobshch. Gruz. Fil. Akad. Nauk SSSR, 1(1940), No. 10, 719-724.
  17. Allgemeine Darstellung der Lösungen elliptischer Differentialgleichungen in einem mehrfach zusammenhängenden Gebiet. Soobshch. Fil. Akad. Nauk SSSR, 1(1940), No. 5, 329-335.
  18. On one new integral representation of analytic functions and its application. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 6, 477-484.
  19. On one class of singular integral equations with an integral in the sense of the Cauchy principal value. Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 7, 579-586.
  20. On reducing singular integral equations to the Fredholm equation. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 8, 697-700.
  21. On harmonic and metaharmonic functions in a space. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 1, 20-32.
  22. Supplement to the paper "On one new integral representation of analytic functions and its application". (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 8, 701-706.
  23. Integral equations with a singular kernel of the Cauchy type. (Russian) Trudy Tbilis. Mat. Inst. 10(1941), 45-72.
  24. Über harmonische und metaharmonische Funktionen im Raum. Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 1-2, 29-34.
  25. On the approximation of solutions of elliptic differential equations. (Russian) Soobshch. Akad. Nauk. Gruz. SSR, 3(1942), No. 2, 97-102.
  26. Solution of the basic boundary value problem for the equation n + 1u = 0. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), 213-220.
  27. On solutions of equation u + l2u = 0. (Georgian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), No. 4, 307-314.
  28. On the bending of a plate with a free edge. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), No. 7, 641-648.
  29. To the theory of singular integral equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), No. 9, 869-876.
  30. On one linear boundary value problem of Riemann. (Russian) Trudy Tbilis. Mat. Inst. 11(1942), 109-139.
  31. On the solution of a mixed boundary value problem of the theory of a Newtonian potential for a multiply connected domain. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), 753-758.
  32. Geen's function for a spherical layer. (Georgian) Trudy Tbilis. Gosud. Univ. 25(1942), 225-228.
  33. On some basic properties of metaharmonic functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 4, 281-288.
  34. Remarks on a general representation of solutions of differential equations of elliptic type. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 5, 385-392.
  35. To a general diffraction problem. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 6, 503-506.
  36. On one integral representation of solutions of differential equations. (Russian, Georgian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 9, 843-852.
  37. On one new representation of solutions of differential equations. (Georgian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 10, 941-950.
  38. On metaharmonic functions. (Russian) Trudy Tbilis. Mat. Inst. 12(1943), 105-174.
  39. Correction to Ilia Vekua's paper "On one linear boundary value problem of Riemann". (Russian) (see Trudy Tbil. Mat. Inst. 11(1942), 109-139). Trudy Tbilis. Math. Inst. 12(1943), 215.
  40. Sur certain dévelopment des fonctions métaharmoniques. C. R. Acad. Sci. URSS, 48(1945), No. 1, 3-6.
  41. Représentation genérale des solutions dúne équation différentielle des fonctions sphériques. C. R. Acad. Sci. URSS, 49(1945), No. 5, 311-314a.
  42. Inversion of one integral transformation and some of its applications. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 6(1945), No. 3, 179-183.
  43. On the integrodifferential equation of Prandtl. (Russian) Prikl. Mat. Mekh. 9(1945), No. 2, 143-150.
  44. Integration of equations of a spherical shell. (Russian) Prikl. Mat. Mekh. 9(1945), No. 5, 368-388.
  45. To the theory of Legendre's functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 7(1946), No. 1-2, 3-10.
  46. To the theory of cylindrical functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 7(1946), No. 3, 95-101.
  47. Sur une généralisation de l'intégrale de Poisson pour le demi-plan. C. R. Acad. Sci. URSS, 56(1947), No. 3, 229-231.
  48. Some basic problems of the theory of a thin spherical shell. (Russian) Prikl. Mat. Mekh. 11(1947), No. 5, 499-516.
  49. Approximation of solutions of second order differential equations of elliptic type. (Georgian) Trudy Tbilis. Gos. Univ. 30a(1947), 1-21.
  50. On one generalization of the Poisson integral for a half-plane. (Georgian) Trudy Tbilis. Mat. Inst. 15(1947), 149-154.
  51. On one method of solution of boundary value problems of sinusoidal oscillation of an elastic cylinder. (Russian) Dokl. Akad. Nauk SSSR, 60(1948), No. 5, 779-782.
  52. To the theory of shallow thin elastic shells. (Russian) Prikl. Mat. Mekh. 12(1948), No. 1, 69-74.
  53. To the theory of elastic shells. (Russian) Dokl. Akad. Nauk SSSR, 68(1949), No. 3, 453-455.
  54. On one representation of solutions of differential equations of elliptic type. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 11(1950), No. 3, 137-141.
  55. On the proof of some uniquness theorem occurring in the stationary oscillation theory. (Russian) Dokl. Akad. Nauk SSSR, 80(1951), No. 3, 341-343.
  56. Systems of first order differential equations of elliptic type and boundary value problems with an application in the shell theory. (Russian) Mat. Sb. 31(1952), No. 2, 217-314.
  57. A general representation of functions of two independent variables admitting derivatives in the Sobolev sense and the problem of primitives. (Russian) Dokl. Akad. Nauk SSSR, 89(1953), No. 5, 773-775.
  58. On the completeness of a system of harmonic polynomials in a space. (Russian) Dokl. Akad. Nauk SSSR, 90(1953), No. 4, 495-498.
  59. On the completeness of a system of metaharmonic functions. (Russian) Dokl. Akad. Nauk SSSR, 90(1953), No. 5, 715-718.
  60. A boundary value problem with an oblique derivative for an elliptic type equation. (Russian) Dokl. Akad. Nauk SSSR, 92(1953), No. 6, 1113-1116.
  61. On one property of the solution of a generalized system of Cauchy-Riemann equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 14 (1953), No. 8, 449-453.
  62. On some properties of solutions of a system of elliptic type equations. (Russian) Dokl. Akad. Nauk SSSR, 98(1954), No. 2, 181-184.
  63. On the solution of boundary value problems of the shell theory. (Russian) Soobshch. Akad. Nauk GSSR, 15(1954), No. 1,3-6.
  64. Problem of reducing differential equations of elliptic type to the canonical form and the generalized Cauchy-Riemann system. (Russian) Dokl. Akad. Nauk SSSR, 100(1955), No. 2, 197-200.
  65. On one method of solution of boundary value problems of partial differential equations. (Russian) Dokl. Akad. Nauk SSSR, 101(1955), No. 4, 593-596.
  66. On one method of calculating of prismatic shells. (Russian) Trudy Tbilis. Mat. Inst. 21(1955), 191-259.
  67. Theory of generalized analytic functions and its applications in geometry and mechanics. (Russian) III All-Union Math. Congr., ( Moscow, June-July, 1956), Abstracts of survey and section reports, (Russian) 9-11, Moscow, Izd. Akad. Nauk SSSR, 1956.
  68. On some rigidity conditions for surfaces of positive curvature. (Russian) Delivered at the IV Congress of Czechoslovak mathematicians in Prague, 6.IX. 1955. Czech. Math. J. 6(1956), No. 2, 143-160.
  69. Some problems of infinitesimal bendings of surfaces. (Russian) Dokl. Akad. Nauk SSSR, 112(1957), No. 3, 377-380.
  70. Civeta probleme ale teoriei functilor analitice generalizate si ale aplicatülor ei in geometrie i mecanica. Bull. Math. Soc. Sci. Mat. Fiz. R.P.Roumanie, 1(1957), No. 2, 229-243.
  71. Theorie of generalized analytic functions and some of its applications in geometry and mechanics. (Russian) Proc. III All-Union Math. Congr. (Moscow, June-July, 1956) (Russian), v. 3, Survey reports, 42-64, Izd. Akad. Nauk SSSR, Moscow, 1958.
  72. Über die korrekte Stellung der Riemann - Hilbertschen Aufgabe. Proc. Intern. Colloq. on Theory of Functions. Ann. Acad, Sci. Fenn., ser. A. 1(1958), p. 14.
  73. Proof of the rigidity of piecewise-regular closed convex surfaces of non-negative curvature. (Russian) Izv. Akad. Nauk SSSR. Ser. Math. 22(1958), No. 2, 165-176 (coauthor B. V. Boyarski).
  74. On the conditions providing a momentless stressed state of equilibrium of the convex shell. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 20(1958), No. 5, 525-532.
  75. On the conditions of a momentless stressed state of convex shells. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 21(1958), No. 6, 649-652.
  76. On the conditions for realizing a momentless stressed equilitrium state of convex shells. (Russian) Steklov Mat. Inst. Akad. Nauk SSSR, Moscow, 1958, 23 p.
  77. On the conditions of momentless stressed equilibrium state of a convex shell. (Russian) Proc. All-Union Conf. on Diff. Equations (Yerevan, November, 1958) (Russian), 32-44, Izd. Akad. Nauk Arm. SSR, Yerevan, 1960.
  78. Über die Bedingungen der Verwirklichung des momentenfreien Spannungsleichgewichtes von Schalen positiver Krümmung, Proceedings of the symposium on the theory of thin elastic shells. North-Holland Publ. Co., Amsterdam, 1960, 270-280.
  79. A remark on the properties of solutions of equations u = - 2keu. (Russian) Sibirsk. Mat. Zh. 1(1960), No. 3, 331-342.
  80. Projective properties of force and deflection fields. (Russian) Problems of Mechanics of Continua. To the 70th birthday anniversary of Academician N. I. Muskhelishvili (Russian), 83-91, Izd. Akad. Nauk SSSR, Moscow, 1961.
  81. A projective property of force and deflection fields. Problems of continuum mechanics, 582-591, Philadelphia, 1961.
  82. On some properties of solutions of the Gauss equation. (Russian) Trudy Mat. Inst. Steklov. 64(1961), 5-8.
  83. To the theory of quasiconformal mappings. (Russian) Some problems of mathematics and mechanics (Russian), 57-64, Izd. Akad. Nauk SSSR, Novosibirsk, 1961.
  84. On the compactness of a family of generalized analytic functions. (Russian) Trudy Tbilis. Univ. Ser. mech.-math. sci., 1961, 17-21.
  85. Methods of the theory of analytic functions in the theory of elasticity. (Russian) Proc. All-Union Congr. on Theoretical and Applied Mechanics (January 27-February 3, 1960). Survey Reports, Izd. Akad. Nauk SSSR, Moscow-Leningrad, 1962, 310-338 (coauthor N. I. Muskhelishvili).
  86. Fixed singular points of generalized analytic functions. (Russian) Dokl. Akad. Nauk SSSR, 145(1962), No. 1, 24-26.
  87. Equations and systems of equations of elliptic type. (Russian) Proc. IV All-Union Math. Congr. (Russian) v. 1, 29-48, 1963.
  88. New methods in mathematical shell theory. Proc. XI Intern. Congr. Appl. Mech. Munich, 47-58, Springer-Verlag, 1964.
  89. Theory of thin and shallow elastic shells with variable thickness. (Russian) Appplications of the theory of functions in continuum mechanics (Russian), v. 1, 410-431, Nauka, Moscow, 1965.
  90. Theory of thin shallow shells of variable thickness. (Russian) Trudy Tbilis. Mat. Inst. Razmadze, 30(1965), 5-103.
  91. Über eine Verallgemeinerung der Biegetheorie der Schalen. Intern. Kongr. Anwendungen der Mathematik in Ingenieurwiss. mit Rahmenthema, Anwendungen elektronischer Rechenanlagen im Bauwesen, Bd. 1(1967), 260-280.
  92. On construction of an approximate solution of the equation of a shallow spherical shell. Intern. J. Solids Struct. 10(1968), 991-1003.
  93. On conformal invariant differential forms in shell theory. Functional theoretical methods in partial differential equations, 303-311, Acad. Press, 1968.
  94. On one version of the consistent theory of elastic shells. IUTAM Symp. (Copenhagen, 1967), 59-84, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
  95. On the integration of a system of equations of an elastic equilibrium of a plate. (Russian) Dokl. Akad. Nauk SSSR, 186(1969), No. 3, 541-544.
  96. On the integration of equilibrium equations of a cylindrical shell. (Russian) Dokl. Akad. Nauk SSSR, 186(1969), No. 4, 787-790.
  97. On one class of an irregular elliptic system of first order equations. (Russian) Abstracts of reports of the Seminar of Inst. Appl. Math. Tbilis. State Univ. 1(1969), 5-9.
  98. On one class of elliptic systems with singularities. Proc. Intern. Conf. on Functional Analysis and Related Topics, Tokyo, 1969, 142-147.
  99. On one method of solving of the basic biharmonic boundary value problem and the Dirichlet problem. (Russian) Some problems of mathematics and mechanics (Russian), 120-127, Leningrad, 1970.
  100. Equations of thin elastic shells. (Russian) Abstracts of reports Inst. Appl. Math. Tbilis. State Univ. 5(1971) 69-75.
  101. On one trend of construction of shell theory. (Russian) Mechanics in the USSR for 50 years, (Russian) 3, 267-290, Nauka, Moscow, 1972.
  102. On two ways of constructing the theory of elastic shells. Proc. XIII Intern. Congr. Theoret. and Appl. Mech., (Moscow), 1972, 322-339, Springer-Verlag, Berlin-Heidelberg-New York, 1973.
  103. On a functional equation of the theory of minimal surfaces. (Russian) Dokl. Akad. Nauk SSSR, 217(1974), No. 5, 997-1000.
  104. On two ways of constructing a noncontradictory theory of elastic shells. (Russian) Proc. I All-Union School on the Theory and Numerical Methods of Calculation of Shells and Plates, (Gegechkori), (Russian) 5-10, Metsniereba, Tbilisi, 1975.
  105. On one method of solving the first biharmonic boundary value problem and the Dirichlet problem. J. Amer. Math. Soc. 104(1976), 104-111.
  106. On one class of statically definable problems of shell theory (Russian). Soobshch. Akad. Nauk Gruz. SSR, 83(1976), No. 2, 273-276; No. 3, 529-532.