Edit Profile Vaĭnberg, Mordukhaĭ Moiseevich Compute Distance To: Compute Author ID: vainberg.mordukhai-moiseevich Published as: Vaĭnberg, M. M.; Vainberg, M. M.; Wainberg, M. M.; Weinberg, M. M.; Vinberg, M. M.; Weinberg, M. External Links: MGP · Math-Net.Ru Documents Indexed: 84 Publications since 1945, including 8 Books all top 5 Co-Authors 54 single-authored 8 Aizengendler, P. G. 5 Lavrent’ev, I. M. 4 Demidovich, Boris Pavlovich 4 Trenogin, Vladilen Aleksandrovich 3 Éngel’son, Yakov Leopoldovich 3 Vinograd, Robert Èl’yukimovich 2 Aleksandrov, Pavel Sergeevich 1 Kachurovskij, R. I. 1 Nemytskiĭ, Viktor Vladimirovich all top 5 Serials 12 Doklady Akademii Nauk SSSR. Novaya Seriya 11 Uspekhi Matematicheskikh Nauk [N. S.] 10 Soviet Mathematics. Doklady 6 Matematicheskiĭ Sbornik. Novaya Seriya 5 Doklady Akademii Nauk SSSR 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 2 Russian Mathematical Surveys 2 Studia Mathematica 2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Moscow University Mathematics Bulletin 1 Physica A 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Časopis Pro Pěstování Matematiky 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Mathematics of the USSR, Sbornik 1 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 1 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien 1 Translations. Series 2. American Mathematical Society 1 Vestnik Moskovskogo Universiteta, Seriya Fiziko-Matematicheskikh i Èstestvennykh Nauk all top 5 Fields 42 Operator theory (47-XX) 29 Integral equations (45-XX) 13 Functional analysis (46-XX) 7 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 4 History and biography (01-XX) 3 Operations research, mathematical programming (90-XX) 2 Partial differential equations (35-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 725 times in 708 Documents Cited by ▼ Year ▼ Theory of branching of solutions of non-linear equations. Translated by Israel Program for Scientific Translations. Zbl 0274.47033Vainberg, M. M.; Trenogin, V. A. 189 1974 Variational methods for the study of nonlinear operators. With a chapter on Newton’s method by L.V. Kantorovich and G.P. Akilov. Translated and supplemented by Amiel Feinstein. Zbl 0122.35501Vaĭnberg, M. M. 163 1964 Variational method and method of monotone operators in the theory of nonlinear equations. Translated from Russian by A. Libin. Translation edited by D. Louvish. Zbl 0279.47022Vainberg, M. M. 134 1973 Theory of branching of solutions of nonlinear equations. (Теория ветвления решений нелинейных уравнений.) Zbl 0186.20805Vaĭnberg, M. M.; Trenogin, V. A. 75 1969 The methods of Lyapunov and Schmidt in the theory of nonlinear equations and their further development. Zbl 0117.31904Vaĭnberg, M. M.; Trenogin, V. A. 39 1962 Variational methods for investigation of nonlinear operators. Zbl 0073.10303Vaĭnberg, M. M. 29 1956 On the convergence of the process of steepest descent for nonlinear equations. Zbl 0206.14201Vaĭnberg, M. M. 17 1961 Nonlinear equations of Hammerstein type with potential and monotone operators in Banach spaces. Zbl 0249.47062Vainberg, M. M.; Lavrent’ev, I. M. 16 1972 On the variational theory of nonlinear operators and equations. Zbl 0094.10801Vaĭnberg, M. M.; Kachurovskiĭ, R. I. 14 1959 Theorie der Lösungsverzweigung bei nichtlinearen Gleichungen. In deutscher Sprache herausgegeben von Reinhard Kluge. Deutsche Übersetzung: Rolf Hünlich. Zbl 0266.45005Wainberg, M. M.; Trenogin, W. A. 12 1973 Functional analysis. (Функциональный анализ.) Zbl 0537.46002Vaĭnberg, M. M. 10 1979 Integro-differential equations. Zbl 0184.33702Vaĭnberg, M. M. 4 1964 Some questions of the differential calculus in linear spaces. Zbl 0048.09301Vaĭnberg, M. M. 4 1952 Nemytskiĭ operator and its potential in Orlicz spaces. Zbl 0088.09103Vaĭnberg, M. M.; Shragin, I. V. 3 1958 Variationsmethode und Methode der monotonen Operatoren in der Theorie der nichtlinearen Gleichungen. (Variacionnyi metod i metod monotonnyh operatorov v teorii nelineinyh uravnenii.). Zbl 0249.47061Vainberg, M. M. 2 1973 On the convergence of the method of steepest descent for nonlinear equations. Zbl 0089.11301Vaĭnberg, M. M. 2 1960 The theory and methods of investigation of branch points of solutions. Zbl 0186.21002Vaĭnberg, M. M.; Aĭzengendler, P. G. 1 1968 Nonlinear equations with potential and monotonic operators. Zbl 0194.16704Vaĭnberg, M. M. 1 1967 Equations with nonlinear accretive and monotone operators, and Galerkin- Petrov approximations. Zbl 0224.47038Vaĭnberg, M. M. 1 1971 Le problème de la minimisation des fonctionnelles non linéaires. Zbl 0249.47060Vainberg, M. M. 1 1971 Nonlinear quasi-potential operators. Zbl 0266.47061Vainberg, M. M.; Lavrent’ev, I. M. 1 1972 The existence of solutions of a system of nonlinear integral equations. Zbl 0032.35401Vaĭnberg, M. M. 1 1948 On the continuity of some operators of special type. Zbl 0039.33702Vaĭnberg, M. M. 1 1950 On the eigenelements of a class of nonlinear operators. Zbl 0041.43705Vaĭnberg, M. M. 1 1950 The existence of eigenfunctions for nonlinear integral equations with nonpositive kernels. Zbl 0044.32301Vaĭnberg, M. M. 1 1951 The variational theory of nonlinear operator equations. Zbl 0065.10604Vaĭnberg, M. M. 1 1955 The operator of V. V. Nemytskiĭ. Zbl 0066.36306Vaĭnberg, M. M. 1 1955 Nonlinear operators and Hammerstein’s equations in Orlicz spaces. Zbl 0092.32202Vaĭnberg, M. M.; Shragin, I. V. 1 1959 Functional analysis. (Функциональный анализ.) Zbl 0537.46002Vaĭnberg, M. M. 10 1979 Theory of branching of solutions of non-linear equations. Translated by Israel Program for Scientific Translations. Zbl 0274.47033Vainberg, M. M.; Trenogin, V. A. 189 1974 Variational method and method of monotone operators in the theory of nonlinear equations. Translated from Russian by A. Libin. Translation edited by D. Louvish. Zbl 0279.47022Vainberg, M. M. 134 1973 Theorie der Lösungsverzweigung bei nichtlinearen Gleichungen. In deutscher Sprache herausgegeben von Reinhard Kluge. Deutsche Übersetzung: Rolf Hünlich. Zbl 0266.45005Wainberg, M. M.; Trenogin, W. A. 12 1973 Variationsmethode und Methode der monotonen Operatoren in der Theorie der nichtlinearen Gleichungen. (Variacionnyi metod i metod monotonnyh operatorov v teorii nelineinyh uravnenii.). Zbl 0249.47061Vainberg, M. M. 2 1973 Nonlinear equations of Hammerstein type with potential and monotone operators in Banach spaces. Zbl 0249.47062Vainberg, M. M.; Lavrent’ev, I. M. 16 1972 Nonlinear quasi-potential operators. Zbl 0266.47061Vainberg, M. M.; Lavrent’ev, I. M. 1 1972 Equations with nonlinear accretive and monotone operators, and Galerkin- Petrov approximations. Zbl 0224.47038Vaĭnberg, M. M. 1 1971 Le problème de la minimisation des fonctionnelles non linéaires. Zbl 0249.47060Vainberg, M. M. 1 1971 Theory of branching of solutions of nonlinear equations. (Теория ветвления решений нелинейных уравнений.) Zbl 0186.20805Vaĭnberg, M. M.; Trenogin, V. A. 75 1969 The theory and methods of investigation of branch points of solutions. Zbl 0186.21002Vaĭnberg, M. M.; Aĭzengendler, P. G. 1 1968 Nonlinear equations with potential and monotonic operators. Zbl 0194.16704Vaĭnberg, M. M. 1 1967 Variational methods for the study of nonlinear operators. With a chapter on Newton’s method by L.V. Kantorovich and G.P. Akilov. Translated and supplemented by Amiel Feinstein. Zbl 0122.35501Vaĭnberg, M. M. 163 1964 Integro-differential equations. Zbl 0184.33702Vaĭnberg, M. M. 4 1964 The methods of Lyapunov and Schmidt in the theory of nonlinear equations and their further development. Zbl 0117.31904Vaĭnberg, M. M.; Trenogin, V. A. 39 1962 On the convergence of the process of steepest descent for nonlinear equations. Zbl 0206.14201Vaĭnberg, M. M. 17 1961 On the convergence of the method of steepest descent for nonlinear equations. Zbl 0089.11301Vaĭnberg, M. M. 2 1960 On the variational theory of nonlinear operators and equations. Zbl 0094.10801Vaĭnberg, M. M.; Kachurovskiĭ, R. I. 14 1959 Nonlinear operators and Hammerstein’s equations in Orlicz spaces. Zbl 0092.32202Vaĭnberg, M. M.; Shragin, I. V. 1 1959 Nemytskiĭ operator and its potential in Orlicz spaces. Zbl 0088.09103Vaĭnberg, M. M.; Shragin, I. V. 3 1958 Variational methods for investigation of nonlinear operators. Zbl 0073.10303Vaĭnberg, M. M. 29 1956 The variational theory of nonlinear operator equations. Zbl 0065.10604Vaĭnberg, M. M. 1 1955 The operator of V. V. Nemytskiĭ. Zbl 0066.36306Vaĭnberg, M. M. 1 1955 Some questions of the differential calculus in linear spaces. Zbl 0048.09301Vaĭnberg, M. M. 4 1952 The existence of eigenfunctions for nonlinear integral equations with nonpositive kernels. Zbl 0044.32301Vaĭnberg, M. M. 1 1951 On the continuity of some operators of special type. Zbl 0039.33702Vaĭnberg, M. M. 1 1950 On the eigenelements of a class of nonlinear operators. Zbl 0041.43705Vaĭnberg, M. M. 1 1950 The existence of solutions of a system of nonlinear integral equations. Zbl 0032.35401Vaĭnberg, M. M. 1 1948 all cited Publications top 5 cited Publications all top 5 Cited by 741 Authors 19 Nazarov, Sergeĭ Aleksandrovich 17 Sidorov, Nikolaĭ Aleksandrovich 14 Loginov, Boris Vladimirovich 13 Galaktionov, Victor Aleksandrovich 9 Gulyaev, V. I. 8 Browder, Felix Earl 7 Lazopoulos, Konstantinos A. 7 Nikitin, Yakov Yu. 7 Oden, John Tinsley 7 Sather, Duane 7 Sekerzh-Zen’kovich, Yakov Ivanovich 7 Sidorov, Denis Nikolaevich 7 Trenogin, Vladilen Aleksandrovich 7 Valovik, Dmitry V. 6 Bounkhel, Messaoud 6 Makinde, Oluwole Daniel 5 Dancer, Edward Norman 5 Nashed, M. Zuhair 5 Petryshyn, Walter Wolodymyr 5 Slodička, Marián 5 Venturi, Daniele 5 Yakovets, V. P. 4 Akulenko, Leonid Denisovich 4 Álvarez-Caudevilla, Pablo 4 Antman, Stuart S. 4 Berger, Melvyn S. 4 Bufler, Hans 4 Evans, Jonathan David 4 Hoang, Nguyen Si 4 Huang, Nan-Jing 4 Kim-Tyan, Luiza Revmirovna 4 Komkov, Vadim 4 Kovalevsky, Alexander Albertovich 4 Nečas, Jindřich 4 Ramm, Alexander G. 4 Rusak, Yuriĭ Borisovich 4 Tikhov, S. V. 4 Yamamuro, Sadayuki 4 Yudovich, Viktor Iosifovich 4 Zegeye, Habtu 3 Badokina, Tat’yana Evgen’evna 3 Bhutani, Om Prakash 3 Boĭchuk, Oleksandr Andriĭovych 3 Bruck, Ronald E. jun. 3 Cheng, Changjun 3 Cushing, Jim M. 3 Durand, Stéphane 3 Evstigneev, Igor V. 3 Falaleev, Mikhail Valentinovich 3 Gromov, Vasily A. 3 Hale, Jack Kenneth 3 Jonsson, Thordur 3 Keller, Herbert Bishop 3 Kielhöfer, Hansjörg 3 Knightly, George H. 3 Krasnikov, Sergey D. 3 Kuznetsov, E. B. 3 Langford, William F. 3 Lazer, Alan C. 3 Li, Jinlu 3 Marotti de Sciarra, Francesco 3 Najman, Branko 3 Petry, Walter 3 Pokutnyĭ, Oleksandr Olekseevich 3 Potapov, Dmitriĭ Konstantinovich 3 Savenko, P. O. 3 Smiley, Michael W. 3 Soucek, Jiri 3 Srubshchik, Leonid S. 3 Taubes, Clifford Henry 3 Vavilov, Sergey Anatolievich 3 Wu, Keqing 3 Zhukova, G. S. 3 Zhuravlëv, Viktor Filippovich 3 Zubov, Leonid M. 3 Zubova, S. P. 2 Alexiades, Vasilios 2 Alyusof, Rabab 2 Amir, Rabah 2 Askhabov, Sultan Nazhmudinovich 2 Avrachenkov, Konstantin Evgen’evich 2 Banaś, Józef 2 Bernis, Francisco 2 Buttazzo, Giuseppe 2 Cai, Wenjun 2 Cardin, Franco 2 Carini, Angelo 2 Chen, Tao 2 Chidume, Charles Ejike 2 Chow, Shui-Nee 2 Dal Maso, Gianni 2 de Mottoni, Piero 2 Deimling, Klaus 2 Dökmeci, M. Cengiz 2 Druzhkov, K. P. 2 Dymarskij, Ya. M. 2 El Jarroudi, Mustapha 2 Er-Riani, Mustapha 2 Fatalov, Vadim Rolandovich 2 Fonarëv, A. A. ...and 641 more Authors all top 5 Cited in 191 Serials 55 Journal of Mathematical Analysis and Applications 34 Journal of Differential Equations 34 Nonlinear Analysis. Theory, Methods & Applications 33 Journal of Applied Mathematics and Mechanics 22 International Journal of Engineering Science 19 Ukrainian Mathematical Journal 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Mathematical Notes 18 Siberian Mathematical Journal 17 Archive for Rational Mechanics and Analysis 15 Journal of Mathematical Sciences (New York) 11 Soviet Applied Mechanics 11 Journal of Functional Analysis 11 Computational Mathematics and Mathematical Physics 10 Computer Methods in Applied Mechanics and Engineering 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Journal of Soviet Mathematics 9 Applied Mathematics and Computation 9 Journal of Computational and Applied Mathematics 9 Doklady Mathematics 7 Computers & Mathematics with Applications 7 Bulletin of the American Mathematical Society 6 Fluid Dynamics 6 Russian Mathematics 6 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 5 Communications in Mathematical Physics 5 Journal of Computational Physics 5 Theoretical and Mathematical Physics 5 Numerical Functional Analysis and Optimization 5 Numerische Mathematik 5 Studies in Applied Mathematics 5 PMM, Journal of Applied Mathematics and Mechanics 5 Proceedings of the Japan Academy 4 Prikladnaya Matematika i Mekhanika 4 Functional Analysis and its Applications 4 Integral Equations and Operator Theory 4 Transactions of the American Mathematical Society 4 Abstract and Applied Analysis 4 Differential Equations 4 Nonlinear Analysis. Real World Applications 3 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 3 Mathematical Methods in the Applied Sciences 3 Reports on Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Czechoslovak Mathematical Journal 3 Journal of Mathematical Economics 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Mathematics and Mechanics. (English Edition) 3 European Journal of Applied Mathematics 3 Journal of Global Optimization 3 Journal of Elasticity 3 Linear Algebra and its Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Russian Journal of Mathematical Physics 3 International Applied Mechanics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 3 Set-Valued and Variational Analysis 2 International Journal of Solids and Structures 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Lithuanian Mathematical Journal 2 Nuclear Physics. B 2 Physics Letters. A 2 Mathematics of Computation 2 Advances in Mathematics 2 Automatica 2 Computing 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Optimization Theory and Applications 2 Manuscripta Mathematica 2 RAIRO. Analyse Numérique 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Mathematica Hungarica 2 Acta Applicandae Mathematicae 2 Physica D 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 The Annals of Applied Probability 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 Bulletin of the American Mathematical Society. New Series 2 Mathematical Programming. Series A. Series B 2 Archive of Applied Mechanics 2 Vestnik St. Petersburg University. Mathematics 2 Discrete and Continuous Dynamical Systems 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Positivity 2 Acta Mathematica Sinica. English Series 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Proceedings of the Steklov Institute of Mathematics 1 Acta Mechanica 1 Analysis Mathematica 1 Ingenieur-Archiv 1 Journal of the Franklin Institute ...and 91 more Serials all top 5 Cited in 49 Fields 196 Partial differential equations (35-XX) 190 Operator theory (47-XX) 108 Ordinary differential equations (34-XX) 107 Numerical analysis (65-XX) 105 Mechanics of deformable solids (74-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 58 Fluid mechanics (76-XX) 51 Global analysis, analysis on manifolds (58-XX) 38 Integral equations (45-XX) 33 Functional analysis (46-XX) 28 Dynamical systems and ergodic theory (37-XX) 21 Mechanics of particles and systems (70-XX) 20 Optics, electromagnetic theory (78-XX) 19 Probability theory and stochastic processes (60-XX) 18 Quantum theory (81-XX) 18 Systems theory; control (93-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Operations research, mathematical programming (90-XX) 12 Statistics (62-XX) 10 Biology and other natural sciences (92-XX) 9 Approximations and expansions (41-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Differential geometry (53-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Algebraic topology (55-XX) 4 Group theory and generalizations (20-XX) 4 General topology (54-XX) 4 Computer science (68-XX) 3 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year