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Vekua, Il’ya Nestorovich

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Author ID: vekua.ilya-nestorovich Recent zbMATH articles by "Vekua, Il’ya Nestorovich"
Published as: Vekua, I. N.; Vekua, Il’ya Nestorovich; Vecoua, I.; Vecoua, I. N.; Vekua, Ilia; Vekua, Ilia N.; Vecoua, E.; Vekua, I.; Vekua, Il’ya Nesterovich; Vekua, Ilia Nestorovich; Vecoua, Elias; Vécoua, I. N.; Vécoua, I.
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Documents Indexed: 132 Publications since 1933, including 15 Books
Biographic References: 23 Publications

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 1,010 times in 953 Documents Cited by Year
Stationary singular points of generalized analytic functions. Zbl 0127.03505
Vekua, I. N.
308
1962
New methods for solving elliptic equations. Zbl 0146.34301
Vekua, I. N.
155
1967
Generalized analytic functions. (Обобщенные аналитические функции.) Zbl 0092.29703
Vekua, I. N.
141
1959
Generalized analytic functions. 2nd ed., rev.. Ed. by O. A. Olejnik and B. V. Shabat. (Обобщенные аналитические функции.) Zbl 0698.47036
Vekua, I. N.
98
1988
Generalized analytic functions. Transl. ed. by Ian N. Sneddon. Zbl 0100.07603
Vekua, I. N.
35
1962
Some general methods for constructing several variants of shell theory. (Некоторые общие методы построения различных вариантов теорий оболочек.) Zbl 0598.73100
Vekua, I. N.
34
1982
Foundations of tensor analysis and the theory of covariants. (Osnovy tenzornogo analiza i teorii kovariantov). Zbl 0493.53009
Vekua, I. N.
30
1978
Generalized analytic functions. Ed. by Wolfgang Schmidt. (Verallgemeinerte analytische Funktionen.) Zbl 0108.07703
Vekua, I. N.
27
1963
On one class of the elliptic systems with singularities. Zbl 0214.10601
Vekua, I. N.
26
1970
Theory of thin and shallow elastic shells with variable thickness. Zbl 0239.73062
Vekua, I. N.
25
1965
On metaharmonic functions. Zbl 0063.07996
Vekua, I. N.
24
1943
Theory of thin shallow shells with variable thickness. Zbl 0166.20904
Vekua, I. N.
14
1965
Shell theory: general methods of construction. Transl. from the Russian by Ts. Gabeskiria. With a foreword by G. Fichera. Zbl 0655.73036
Vekua, I. N.
14
1985
On the Prandtl integro-differential equation. Zbl 0063.08027
Vekua, I. N.
13
1945
Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben mit einer Anwendung in der Theorie der Schalen. Zbl 0072.10503
Vekua, I. N.
13
1956
On a method of solving the first biharmonic boundary value problem and the Dirichlet problem. Zbl 0222.31005
Vekua, I. N.
11
1970
Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben, mit einer Anwendung auf die Theorie der Schalen. Zbl 0048.33701
Vekua, I. N.
5
1952
Solution of the fundamental boundary value problem for the equation \(\Delta^{n+1}u = 0\). Zbl 0063.08015
Vekua, I. N.
4
1942
Das Problem der Reduktion von Differentialformen vom elliptischen Typus auf die kanonische Form und das verallgemeinerte Cauchy-Riemannsche System. Zbl 0068.06401
Vekua, I. N.
4
1955
On metaharmonic functions. Zbl 1290.31009
Vekua, Ilia
3
2013
Bemerkungen über die Eigenschaften der Lösungen der Gleichung \(\Delta u= -2ke^u\). Zbl 0095.30403
Vekua, I. N.
3
1960
On construction of approximate solutions of equations of the shallow spherical shell. Zbl 0175.22806
Vekua, I. N.
2
1969
Neue Methoden zur Lösung elliptischer Gleichungen. Zbl 0041.06204
Vekua, I. N.
2
1948
Über die Vollständigkeit eines Systems von metaharmonischen Funktionen. Zbl 0051.04902
Vekua, I. N.
2
1953
Über eine Eigenschaft der Lösungen eines verallgemeinerten Systems von Cauchy-Riemannschen Gleichungen. Zbl 0053.37804
Vekua, I. N.
2
1953
Modifikation einer Integraltransformation und einige ihrer Eigenschaften. Zbl 0063.08024
Vekua, I. N.
2
1945
The integration of equilibrium equations of a cylindrical shell. Zbl 0194.57203
Vekua, I. N.
1
1969
On one method of solving the first biharmonic boundary value problem and the Dirichlet problem. Zbl 0328.31007
Vekua, I. N.
1
1976
Sur la torsion d’un cylindre armé d’une tige. JFM 59.1426.05
Rukhadze, A. K.; Vekua, I. N.
1
1933
Eine allgemeine Darstellung der Funktionen von zwei unabhängigen Veränderlichen, die Ableitungen im Sinne S. L. Sobolev besitzen, und das Problem der primitiven Funktionen. Zbl 0050.30801
Vekua, I. N.
1
1953
Über gewisse Eigenschaften der Lösungen eines Systems von Gleichungen vom elliptischen Typus. Zbl 0058.08404
Vekua, I. N.
1
1954
On the solution of the equation \(\Delta u + \lambda^2 u = 0\). Zbl 0063.08016
Vekua, I. N.
1
1942
Über eine Methode zur Lösung von Randwertaufgaben partieller Differentialgleichungen. Zbl 0064.34601
Vekua, I. N.
1
1955
Sur certaines conditions de la non-déformabilité des surfaces à courbure positive. Zbl 0075.16601
Vekua, I. N.
1
1956
Über die korrekte Stellung der Riemann-Hilbertschen Aufgabe. Zbl 0083.32001
Vekua, I. N.
1
1958
On conformal invariant differential forms in shell theory. Zbl 0208.26804
Vekua, I. N.
1
1970
A certain class of irregular elliptic systems of first order equations. Zbl 0217.41303
Vekua, I. N.
1
1969
On one version of the consistent theory of elastic shells. Zbl 0224.73097
Vekua, I. N.
1
1969
On a functional equation in the theory of minimal surfaces. Zbl 0306.49028
Vekua, I. N.
1
1974
On metaharmonic functions. Zbl 1290.31009
Vekua, Ilia
3
2013
Generalized analytic functions. 2nd ed., rev.. Ed. by O. A. Olejnik and B. V. Shabat. (Обобщенные аналитические функции.) Zbl 0698.47036
Vekua, I. N.
98
1988
Shell theory: general methods of construction. Transl. from the Russian by Ts. Gabeskiria. With a foreword by G. Fichera. Zbl 0655.73036
Vekua, I. N.
14
1985
Some general methods for constructing several variants of shell theory. (Некоторые общие методы построения различных вариантов теорий оболочек.) Zbl 0598.73100
Vekua, I. N.
34
1982
Foundations of tensor analysis and the theory of covariants. (Osnovy tenzornogo analiza i teorii kovariantov). Zbl 0493.53009
Vekua, I. N.
30
1978
On one method of solving the first biharmonic boundary value problem and the Dirichlet problem. Zbl 0328.31007
Vekua, I. N.
1
1976
On a functional equation in the theory of minimal surfaces. Zbl 0306.49028
Vekua, I. N.
1
1974
On one class of the elliptic systems with singularities. Zbl 0214.10601
Vekua, I. N.
26
1970
On a method of solving the first biharmonic boundary value problem and the Dirichlet problem. Zbl 0222.31005
Vekua, I. N.
11
1970
On conformal invariant differential forms in shell theory. Zbl 0208.26804
Vekua, I. N.
1
1970
On construction of approximate solutions of equations of the shallow spherical shell. Zbl 0175.22806
Vekua, I. N.
2
1969
The integration of equilibrium equations of a cylindrical shell. Zbl 0194.57203
Vekua, I. N.
1
1969
A certain class of irregular elliptic systems of first order equations. Zbl 0217.41303
Vekua, I. N.
1
1969
On one version of the consistent theory of elastic shells. Zbl 0224.73097
Vekua, I. N.
1
1969
New methods for solving elliptic equations. Zbl 0146.34301
Vekua, I. N.
155
1967
Theory of thin and shallow elastic shells with variable thickness. Zbl 0239.73062
Vekua, I. N.
25
1965
Theory of thin shallow shells with variable thickness. Zbl 0166.20904
Vekua, I. N.
14
1965
Generalized analytic functions. Ed. by Wolfgang Schmidt. (Verallgemeinerte analytische Funktionen.) Zbl 0108.07703
Vekua, I. N.
27
1963
Stationary singular points of generalized analytic functions. Zbl 0127.03505
Vekua, I. N.
308
1962
Generalized analytic functions. Transl. ed. by Ian N. Sneddon. Zbl 0100.07603
Vekua, I. N.
35
1962
Bemerkungen über die Eigenschaften der Lösungen der Gleichung \(\Delta u= -2ke^u\). Zbl 0095.30403
Vekua, I. N.
3
1960
Generalized analytic functions. (Обобщенные аналитические функции.) Zbl 0092.29703
Vekua, I. N.
141
1959
Über die korrekte Stellung der Riemann-Hilbertschen Aufgabe. Zbl 0083.32001
Vekua, I. N.
1
1958
Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben mit einer Anwendung in der Theorie der Schalen. Zbl 0072.10503
Vekua, I. N.
13
1956
Sur certaines conditions de la non-déformabilité des surfaces à courbure positive. Zbl 0075.16601
Vekua, I. N.
1
1956
Das Problem der Reduktion von Differentialformen vom elliptischen Typus auf die kanonische Form und das verallgemeinerte Cauchy-Riemannsche System. Zbl 0068.06401
Vekua, I. N.
4
1955
Über eine Methode zur Lösung von Randwertaufgaben partieller Differentialgleichungen. Zbl 0064.34601
Vekua, I. N.
1
1955
Über gewisse Eigenschaften der Lösungen eines Systems von Gleichungen vom elliptischen Typus. Zbl 0058.08404
Vekua, I. N.
1
1954
Über die Vollständigkeit eines Systems von metaharmonischen Funktionen. Zbl 0051.04902
Vekua, I. N.
2
1953
Über eine Eigenschaft der Lösungen eines verallgemeinerten Systems von Cauchy-Riemannschen Gleichungen. Zbl 0053.37804
Vekua, I. N.
2
1953
Eine allgemeine Darstellung der Funktionen von zwei unabhängigen Veränderlichen, die Ableitungen im Sinne S. L. Sobolev besitzen, und das Problem der primitiven Funktionen. Zbl 0050.30801
Vekua, I. N.
1
1953
Systeme von Differentialgleichungen erster Ordnung vom elliptischen Typus und Randwertaufgaben, mit einer Anwendung auf die Theorie der Schalen. Zbl 0048.33701
Vekua, I. N.
5
1952
Neue Methoden zur Lösung elliptischer Gleichungen. Zbl 0041.06204
Vekua, I. N.
2
1948
On the Prandtl integro-differential equation. Zbl 0063.08027
Vekua, I. N.
13
1945
Modifikation einer Integraltransformation und einige ihrer Eigenschaften. Zbl 0063.08024
Vekua, I. N.
2
1945
On metaharmonic functions. Zbl 0063.07996
Vekua, I. N.
24
1943
Solution of the fundamental boundary value problem for the equation \(\Delta^{n+1}u = 0\). Zbl 0063.08015
Vekua, I. N.
4
1942
On the solution of the equation \(\Delta u + \lambda^2 u = 0\). Zbl 0063.08016
Vekua, I. N.
1
1942
Sur la torsion d’un cylindre armé d’une tige. JFM 59.1426.05
Rukhadze, A. K.; Vekua, I. N.
1
1933
all top 5

Cited by 865 Authors

18 Kats, Boris Aleksandrovich
18 Khoma, I. Yu.
17 Gilbert, Robert Pertsch
15 Colton, David Lem
14 Nikabadze, M. U.
13 Ryazanov, Vladimir Il’ich
12 Begehr, Heinrich
12 Novikov, Roman G.
12 Sabitov, Idzhad Khakovich
12 Sukhov, Alexandre B.
11 Rasulov, Abdurauf Babadzhanovich
11 Timergaliev, Samat N.
10 Gutlyanskiĭ, Vladimir Ya.
10 Meziani, Abdelhamid
9 Grinevich, Pëtr Georgievich
8 Abreu-Blaya, Ricardo
8 Natroshvili, David
8 Piven, V. F.
7 Bory Reyes, Juan
7 Yamamoto, Masahiro
6 Fomenko, Valentin Trofimovich
6 Kopylov, Anatoliĭ Pavlovich
6 Kreyszig, Erwin
6 Mironova, S. R.
6 Pessoa, Luís V.
6 Pogodina, A. Yu.
6 Soldatov, Aleksandr Pavlovich
6 Tumanov, Alexander
5 Alessandrini, Giovanni
5 Chernopiskij, D. I.
5 Hile, Gerald N.
5 Imanuvilov, Oleg Yu.
5 Jaiani, George V.
5 Kähler, Uwe
5 Katz, David B.
5 Kravchenko, Vladislav V.
5 Medvedeva, Z. A.
5 Wendland, Wolfgang L.
5 Xu, Zuoliang
5 Yakubov, Eduard H.
4 Babuška, Ivo
4 Bauer, Karl Wilhelm
4 Berglez, Peter
4 Çelebi, Ahmet Okay
4 Dattori da Silva, Paulo L.
4 Dostanić, Milutin R.
4 Gürlebeck, Klaus
4 Hiptmair, Ralf
4 Hofer, Helmut H. W.
4 Hounie, J.
4 Ivanova-Karatopraklieva, Ivanka I.
4 Konopelchenko, Boris Georgievich
4 Ku, Min
4 Manselli, Paolo
4 Uhlmann, Gunther Alberto
4 Wegmann, Rudolf
4 Zhgenti, V. S.
3 Akel, Mohamed S.
3 Aksoy, Ümit
3 Bondar, Anatoliĭ Vasyl’ovych
3 Bondar, Lina Nikolaevna
3 Brown, Russell Murray
3 Campañá, Carlos
3 Pinheiro de Castro, Luís Filipe
3 Černe, Miran
3 Chirka, Evgeni M.
3 Chkadua, George
3 Cima, Joseph A.
3 Constanda, Christian
3 Dai, Daoqing
3 Derrick, William R.
3 Faltinsen, Odd Magnus
3 Heersink, Rudolf
3 Janjgava, Roman
3 Kapanadze, David
3 Khavinson, Dmitry S.
3 Kounchev, Ognyan Ivanov
3 Kuzman, Uroš
3 Leblond, Juliette
3 Lin, Wei
3 Lowndes, John S.
3 Luk’yanova, E. A.
3 Manjavidze, Nino
3 Markov, P. E.
3 Meunargiya, O. V.
3 Millar, Robert F.
3 Moiola, Andrea
3 Monk, Peter B.
3 Mshimba, Ali Seif A.
3 Ospanov, Kordan Nauryzkhanovich
3 Peña Peña, Dixan
3 Perry, Peter A.
3 Perugia, Ilaria
3 Rasulov, Karim Magomedovich
3 Sario, Leo
3 Sattorov, È. N.
3 Shefel, S. Z.
3 Slizkii, V. I.
3 Sommen, Franciscus
3 Svanadze, Merab Zh.
...and 765 more Authors
all top 5

Cited in 212 Serials

72 Siberian Mathematical Journal
54 Journal of Mathematical Sciences (New York)
43 Journal of Mathematical Analysis and Applications
31 Mathematical Notes
28 Differential Equations
26 Ukrainian Mathematical Journal
24 Soviet Applied Mechanics
23 Applicable Analysis
21 Russian Mathematics
20 Journal of Differential Equations
19 Journal of Applied Mathematics and Mechanics
16 Mathematische Zeitschrift
16 Transactions of the American Mathematical Society
16 Lobachevskii Journal of Mathematics
12 Journal of Soviet Mathematics
12 Complex Analysis and Operator Theory
11 Journal d’Analyse Mathématique
11 Zeitschrift für Analysis und ihre Anwendungen
11 Communications in Partial Differential Equations
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Journal of Elasticity
10 International Applied Mechanics
10 Advances in Applied Clifford Algebras
9 Moscow University Mechanics Bulletin
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Journal of Computational and Applied Mathematics
8 Computers & Mathematics with Applications
8 Journal of Functional Analysis
7 Mathematical Methods in the Applied Sciences
7 The Journal of Geometric Analysis
6 Acta Mechanica
6 Journal of Computational Physics
6 Theoretical and Mathematical Physics
6 Archiv der Mathematik
6 Computational Methods and Function Theory
6 Proceedings of the Steklov Institute of Mathematics
6 Inverse Problems and Imaging
6 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
5 Archive for Rational Mechanics and Analysis
5 Computer Methods in Applied Mechanics and Engineering
5 Integral Equations and Operator Theory
5 Manuscripta Mathematica
5 Mathematische Nachrichten
5 Computational Mathematics and Mathematical Physics
5 Engineering Analysis with Boundary Elements
4 Fluid Dynamics
4 International Journal of Engineering Science
4 Wave Motion
4 Annales de l’Institut Fourier
4 Applied Mathematics and Computation
4 Mathematische Annalen
4 Monatshefte für Mathematik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Results in Mathematics
4 Journal of Integral Equations and Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Doklady Mathematics
4 Bulletin of the American Mathematical Society
4 Analysis and Mathematical Physics
4 Nonlinear Analysis. Theory, Methods & Applications
4 Transactions of A. Razmadze Mathematical Institute
3 Analysis Mathematica
3 Archives of Mechanics
3 Communications in Mathematical Physics
3 Lithuanian Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Arkiv för Matematik
3 Duke Mathematical Journal
3 Journal of Approximation Theory
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Archive of Applied Mechanics
3 Applied Mathematics. Series B (English Edition)
3 Bulletin des Sciences Mathématiques
3 Integral Transforms and Special Functions
3 Mathematics and Mechanics of Solids
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Inequalities and Applications
3 Journal of Nonlinear Mathematical Physics
3 Proceedings of the Japan Academy
2 Israel Journal of Mathematics
2 Journal of Statistical Physics
2 Letters in Mathematical Physics
2 Nonlinearity
2 Physics Letters. A
2 Russian Mathematical Surveys
2 Transport Theory and Statistical Physics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Prikladnaya Matematika i Mekhanika
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Bulletin de la Société Mathématique de France
2 Computing
2 Functional Analysis and its Applications
2 Glasgow Mathematical Journal
2 Inventiones Mathematicae
2 Michigan Mathematical Journal
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
...and 112 more Serials
all top 5

Cited in 45 Fields

399 Partial differential equations (35-XX)
314 Functions of a complex variable (30-XX)
170 Mechanics of deformable solids (74-XX)
85 Differential geometry (53-XX)
53 Potential theory (31-XX)
52 Fluid mechanics (76-XX)
50 Several complex variables and analytic spaces (32-XX)
48 Numerical analysis (65-XX)
47 Integral equations (45-XX)
46 Operator theory (47-XX)
27 Functional analysis (46-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Dynamical systems and ergodic theory (37-XX)
18 Ordinary differential equations (34-XX)
18 Optics, electromagnetic theory (78-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Quantum theory (81-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Approximations and expansions (41-XX)
7 Integral transforms, operational calculus (44-XX)
6 Special functions (33-XX)
6 Manifolds and cell complexes (57-XX)
6 Mechanics of particles and systems (70-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 History and biography (01-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General and overarching topics; collections (00-XX)
4 Geophysics (86-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
3 Convex and discrete geometry (52-XX)
3 Systems theory; control (93-XX)
2 Algebraic geometry (14-XX)
2 Real functions (26-XX)
2 Relativity and gravitational theory (83-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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