Samegrelo (Mengrelia) Mingrelia:
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Notable people of Samegrelo:
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Professor Ilia N. Vekua
23.IV.1907 - 2.XII.1977
Ilia Vekua was a distinguished Georgian mathematician, specializing in partial differential equations,
singular integral equations, generalized analytic functions and the mathematical theory of elastic shells.
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 chairs 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 the physics and mathematics department of the USSR Academy of Sciences
| 1959-1964
| Rector of Novosibirsk University
| 1959-1961
| Head the theoretical department at the Hydrodynamics Institute of the Siberian Brabch 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 Theoiretical 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
- Mathamatical 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.
| | |
MANY SCIENTIFIC PAPERS AND BOOK DEDICATED TO THE LIFE
AND ACTIVITIES OF I. VEKUA
- List of works of I.N.Vekua 1937-1947. - In: Mathematiks 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 ofthe theory of cylindrical functions.
- 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
- 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 bibliography). - In: Mathematics
in the USSR fo 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. Matehmatics. Issue 9).
- Bitsadze A. Ilia Nesterovich Vekua. Tbilisi, "Metsniereba", 1967.
- Mania G. and Khvedelidze B. Ilia Vekua. Tbilisi Univ. Press, Tbilisi,
1967, p.76.
- 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.
- Vekua Ilia Nesterovich. Big Soviet Encyclopaedia, v.4, 1971, issue 3,
p. 370.
- To the 70th anniversary of academician Ilia Vekua. 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 Encyclopaedia, v.4,1979, p. 46.
- Obolashvili E. Academician Ilia Vekua, 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.
PROCEEDINGS OF THE SYMPOSIA
IN HONOUR OF I.VEKUA
- 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.
Main Publications
(i) monographs
- 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, Moskow,
1988, 509 p.
(ii) papers
- 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 uniquness 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.
- Equations of thin elastic shells. (Russian) Abstracts of
reports Inst. Appl. Math. Tbilis. State Univ. 5(1971) 69-75.
- On one trend of construction of shell theory. (Russian)
Mechanics in the USSR for 50 years, (Russian) 3, 267-290,
Nauka, Moscow, 1972.
- 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.
- On a functional equation of the theory of minimal surfaces.
(Russian) Dokl. Akad. Nauk SSSR, 217(1974), No. 5, 997-1000.
- 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.
- On one method of solving the first biharmonic boundary value
problem and the Dirichlet problem. J. Amer. Math. Soc. 104(1976),
104-111.
- 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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