Source: http://viam.science.tsu.ge/profiles/Ilia_Vekua
Timestamp: 2019-04-25 09:50:48+00:00

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Head of the theoretical geophysics department at the Geophysics Institute of the Georgian Branch of the USSR Academy of Sciences.
Full professor of Tbilisi State University.
Head of the mathematics and natural science department of the Georgian Academy of Sciences.
Stalin Prize of the second degree for the research work "New methods of solution of elliptic equations" (Russian), published in 1948.
Lenin Prize for the scientific work "Generalized analytic functions" (Russian), published in 1959.
State Prize for research work "Some general methods of constructing various versions of the shell theory" (Russian), published in 1982.
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.
Works of I.N.Vekua. Advances of Mathematical Sciences.- 1950, v.5, issue 3, 167-169.
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.
Vekua Ilia Nestorovich.- In: Biographical dictionary of scientists of natural and technical sciences. M., Big Soviet Encyclopaedia, v.1, 1958, 151-152.
Vekua Inia Nesterovich. (materials to the Biobibliography). - In: Mathematics in the USSR for 40 years 1917-1957, v. 2. Biobibliography. M., Publishing House of Fisico-Mathematical Literature, 1959, 121-122.
Vekua Ilia Nesterovich. Ukrainean Encyclopaedia. v. 2, 1960, 255-256.
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).
Bitsadze A. Ilia Nesterovich Vekua. Tbilisi, "Metsniereba", 1967.
Mania G. and Khvedelidze B. Ilia Vekua. (Georgian) Tbilisi Univ. Press, Tbilisi, 1967, p.76.
Vekua Ilia Nesterovich. (Materials to the Biobibliography). In: Mathematics in the USSR 1958-1967, v.2. Biobibliography. Issue 1, A-L. M., "Nauka", 1969, p.226.
Vekua Ilia Nesterovich. Big Soviet Encyclopedia, v.4, 1971, issue 3, p. 370.
To the 70th anniversary of academician Ilia Vekua. (Georgian) Tbilisi Univ. Press. Tbilisi, 46p.
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.
Vekua Ilia Nesterovich. Georgian Soviet Encyclopedia, v.4,1979, p. 46.
Obolashvili E. Academician Ilia Vekua. (Georgian) Tbilisi, 1982, 32p.
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.
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.
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.
New methods of solution of elliptic equations. (Russian) Gostekhizdat, Moscow-Leningrad, 1948, 296 p.
Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben mit einer Anwendung in der Theorie der Schalen. Deutscher Verlag. Wiss., 1956, p. 107.
Generalized analytic functions. (Russian) Fizmat giz, Moscow, 1959, 628 p.
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.
Generalized analytic functions. Oxford-London-New York-Paris, 1962, 668 p.
Verallgemeinerte analytische Funktionen. Berlin, Akad. Verlag, 1963, 538 p.
On a version of the theory of shallow thin shells. (Russian) Izd. Novosib. Gos. Univ., Novosibirsk, 1964, 68 p.
Theory of thin and shallow shells of varying thickness. (Russian) Izd. Novosib. Gos. Univ., Novosibirsk, 1964, 39 p.
Fundamentals of tensor analysis. (Russian) Izd. Novosib. Gos. Univ., Novosibirsk, 1964, 138 p.
On a version of the bending theory of elastic shells. Univ. Maryland, USA, 1964, 42 p.
Fundamentals of tensor analysis. (Russian) Tbilisi University Press, Tbilisi, 1967, 137 p.
New methods for solving elliptic equations. North-Holland Publ. Co., Amsterdam, 1967.
Variational principles of construction of the shell theory. (Russian) Tbilisi University Press, Tbilisi, 1970, 17 p.
Fundamentals of tensor analysis and theory of covariants. (Russian) Nauka, Moscow, 1978, 296 p.
Some general methods of constructing various versions of shell theory. (Russian) Nauka, Moscow, 1982, 286 p.
Fundamentals of tensor analysis and theory of covariants. (Georgian), Metcniereba, Tbilisi, 1982, 365 p.
Shell theory: general methods of construction. Pitman Advanced Publishing Program, Boston-London-Melbourne, 1985, 287 p.
Generalized analytic functions.(Russian).2nd ed., revised, Nauka, Moscow, 1988, 509 p.
Some general methods of construction of different versions of the theory of shells. (Georgian) Tbilisi University Press, Tbilisi, 2007, 287p.
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).
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).
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.
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.
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.
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.
A boundary value problem of oscillation of an infinite layer. (Georgian) Trudy Tbilis. Mat. Inst. 1(1937), 141-164.
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.
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.
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.
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.
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.
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.
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.
Remarks in connection with the Fourier method. (Russian) Soobshch. Gruz. Fil. Akad. Nauk SSSR, 1(1940), No. 9, 647-650 (coauthor D. F. Kharazov).
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.
Allgemeine Darstellung der Lösungen elliptischer Differentialgleichungen in einem mehrfach zusammenhängenden Gebiet. Soobshch. Fil. Akad. Nauk SSSR, 1(1940), No. 5, 329-335.
On one new integral representation of analytic functions and its application. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 6, 477-484.
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.
On reducing singular integral equations to the Fredholm equation. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 8, 697-700.
On harmonic and metaharmonic functions in a space. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 1, 20-32.
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.
Integral equations with a singular kernel of the Cauchy type. (Russian) Trudy Tbilis. Mat. Inst. 10(1941), 45-72.
Über harmonische und metaharmonische Funktionen im Raum. Soobshch. Akad. Nauk Gruz. SSR, 2(1941), No. 1-2, 29-34.
On the approximation of solutions of elliptic differential equations. (Russian) Soobshch. Akad. Nauk. Gruz. SSR, 3(1942), No. 2, 97-102.
Solution of the basic boundary value problem for the equation ¶n + 1u = 0. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), 213-220.
On solutions of equation ¶u + l2u = 0. (Georgian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), No. 4, 307-314.
On the bending of a plate with a free edge. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), No. 7, 641-648.
To the theory of singular integral equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 3(1942), No. 9, 869-876.
On one linear boundary value problem of Riemann. (Russian) Trudy Tbilis. Mat. Inst. 11(1942), 109-139.
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.
Geen's function for a spherical layer. (Georgian) Trudy Tbilis. Gosud. Univ. 25(1942), 225-228.
On some basic properties of metaharmonic functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 4, 281-288.
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.
To a general diffraction problem. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 6, 503-506.
On one integral representation of solutions of differential equations. (Russian, Georgian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 9, 843-852.
On one new representation of solutions of differential equations. (Georgian) Soobshch. Akad. Nauk Gruz. SSR, 4(1943), No. 10, 941-950.
On metaharmonic functions. (Russian) Trudy Tbilis. Mat. Inst. 12(1943), 105-174.
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.
Sur certain dévelopment des fonctions métaharmoniques. C. R. Acad. Sci. URSS, 48(1945), No. 1, 3-6.
Représentation genérale des solutions dúne équation différentielle des fonctions sphériques. C. R. Acad. Sci. URSS, 49(1945), No. 5, 311-314a.
Inversion of one integral transformation and some of its applications. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 6(1945), No. 3, 179-183.
On the integrodifferential equation of Prandtl. (Russian) Prikl. Mat. Mekh. 9(1945), No. 2, 143-150.
Integration of equations of a spherical shell. (Russian) Prikl. Mat. Mekh. 9(1945), No. 5, 368-388.
To the theory of Legendre's functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 7(1946), No. 1-2, 3-10.
To the theory of cylindrical functions. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 7(1946), No. 3, 95-101.
Sur une généralisation de l'intégrale de Poisson pour le demi-plan. C. R. Acad. Sci. URSS, 56(1947), No. 3, 229-231.
Some basic problems of the theory of a thin spherical shell. (Russian) Prikl. Mat. Mekh. 11(1947), No. 5, 499-516.
Approximation of solutions of second order differential equations of elliptic type. (Georgian) Trudy Tbilis. Gos. Univ. 30a(1947), 1-21.
On one generalization of the Poisson integral for a half-plane. (Georgian) Trudy Tbilis. Mat. Inst. 15(1947), 149-154.
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.
To the theory of shallow thin elastic shells. (Russian) Prikl. Mat. Mekh. 12(1948), No. 1, 69-74.
To the theory of elastic shells. (Russian) Dokl. Akad. Nauk SSSR, 68(1949), No. 3, 453-455.
On one representation of solutions of differential equations of elliptic type. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 11(1950), No. 3, 137-141.
On the proof of some uniqueness theorem occurring in the stationary oscillation theory. (Russian) Dokl. Akad. Nauk SSSR, 80(1951), No. 3, 341-343.
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.
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.
On the completeness of a system of harmonic polynomials in a space. (Russian) Dokl. Akad. Nauk SSSR, 90(1953), No. 4, 495-498.
On the completeness of a system of metaharmonic functions. (Russian) Dokl. Akad. Nauk SSSR, 90(1953), No. 5, 715-718.
A boundary value problem with an oblique derivative for an elliptic type equation. (Russian) Dokl. Akad. Nauk SSSR, 92(1953), No. 6, 1113-1116.
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.
On some properties of solutions of a system of elliptic type equations. (Russian) Dokl. Akad. Nauk SSSR, 98(1954), No. 2, 181-184.
On the solution of boundary value problems of the shell theory. (Russian) Soobshch. Akad. Nauk GSSR, 15(1954), No. 1,3-6.
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.
On one method of solution of boundary value problems of partial differential equations. (Russian) Dokl. Akad. Nauk SSSR, 101(1955), No. 4, 593-596.
On one method of calculating of prismatic shells. (Russian) Trudy Tbilis. Mat. Inst. 21(1955), 191-259.
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.
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.
Some problems of infinitesimal bendings of surfaces. (Russian) Dokl. Akad. Nauk SSSR, 112(1957), No. 3, 377-380.
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.
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.
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.
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).
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.
On the conditions of a momentless stressed state of convex shells. (Russian) Soobshch. Akad. Nauk Gruz. SSR, 21(1958), No. 6, 649-652.
On the conditions for realizing a momentless stressed equilitrium state of convex shells. (Russian) Steklov Mat. Inst. Akad. Nauk SSSR, Moscow, 1958, 23 p.
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.
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.
A remark on the properties of solutions of equations ¶u = - 2keu. (Russian) Sibirsk. Mat. Zh. 1(1960), No. 3, 331-342.
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.
A projective property of force and deflection fields. Problems of continuum mechanics, 582-591, Philadelphia, 1961.
On some properties of solutions of the Gauss equation. (Russian) Trudy Mat. Inst. Steklov. 64(1961), 5-8.
To the theory of quasiconformal mappings. (Russian) Some problems of mathematics and mechanics (Russian), 57-64, Izd. Akad. Nauk SSSR, Novosibirsk, 1961.
On the compactness of a family of generalized analytic functions. (Russian) Trudy Tbilis. Univ. Ser. mech.-math. sci., 1961, 17-21.
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).
Fixed singular points of generalized analytic functions. (Russian) Dokl. Akad. Nauk SSSR, 145(1962), No. 1, 24-26.
Equations and systems of equations of elliptic type. (Russian) Proc. IV All-Union Math. Congr. (Russian) v. 1, 29-48, 1963.
New methods in mathematical shell theory. Proc. XI Intern. Congr. Appl. Mech. Munich, 47-58, Springer-Verlag, 1964.
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.
Theory of thin shallow shells of variable thickness. (Russian) Trudy Tbilis. Mat. Inst. Razmadze, 30(1965), 5-103.
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.
On construction of an approximate solution of the equation of a shallow spherical shell. Intern. J. Solids Struct. 10(1968), 991-1003.
On conformal invariant differential forms in shell theory. Functional theoretical methods in partial differential equations, 303-311, Acad. Press, 1968.
On one version of the consistent theory of elastic shells. IUTAM Symp. (Copenhagen, 1967), 59-84, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
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.
On the integration of equilibrium equations of a cylindrical shell. (Russian) Dokl. Akad. Nauk SSSR, 186(1969), No. 4, 787-790.
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.
On one class of elliptic systems with singularities. Proc. Intern. Conf. on Functional Analysis and Related Topics, Tokyo, 1969, 142-147.
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.

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