Edit Profile (opens in new tab) Gamkrelidze, Revaz Valerianovich Co-Author Distance Author ID: gamkrelidze.revaz-v Published as: Gamkrelidze, R. V.; Gamkrelidze, R.; Gamkrelidze, Revaz V. more...less External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 96 Publications since 1953, including 16 Books 484 Contributions as Editor · 3 Further Contributions Biographic References: 7 Publications Co-Authors: 124 Co-Authors with 351 Joint Publications 4,392 Co-Co-Authors all top 5 Co-Authors 227 single-authored 56 Sadovnichiĭ, Viktor Antonovich 55 Mikhalëv, Aleksandr Vasil’evich 36 Agrachev, Andreĭ Aleksandrovich 30 Shafarevich, Igor’ Rostislavovich 25 Vakhrameev, S. A. 23 Sakharova, V. P. 21 Pontryagin, Lev Semënovich 20 Mishchenko, Evgeniĭ Frolovich 16 Boltyanskij, Vladimir Grigor’evich 15 Arnol’d, Vladimir Igorevich 15 Aseev, Sergei M. 15 Shubin, Mikhail Aleksandrovich 13 Kostrikin, Alekseĭ Ivanovich 13 Parshin, Alekseĭ Nikolaevich 12 Anosov, Dmitriĭ Viktorovich 12 Izmailova, Z. A. 11 Egorov, Yuriĭ Vladimirovich 11 Novikov, Sergeĭ Petrovich 10 Golod, Evgeniĭ Solomonovich 10 Nikol’skiĭ, Nikolaĭ Kapitonovich 8 Khenkin, Gennadiĭ Markovich 7 Khavin, Viktor Petrovich 7 Ostianu, N. M. 7 Prokhorov, Yuriĭ Vasil’evich 7 Shipshina, A. G. 5 Arkhangel’skiĭ, Aleksandr Vladimirovich 5 Krasnopolina, E. I. 5 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 5 Onishchik, Arkadiĭ L’vovich 5 Vinberg, Èrnest Borisovich 4 Bahturin, Yuri 4 Faddeev, Lyudvig Dmitrievich 4 Gonchar, Andreĭ Aleksandrovich 4 Il’ina, G. V. 4 Kirillov, Alexandre Aleksandrovich 4 Ovchinnikov, Alexey Vital’evich 4 Rubinov, Aleksandr Moiseevich 4 Vitushkin, Anatoliĭ Georgievich 3 Batalina, I. A. 3 Gindikin, Simon Grigorevich 3 Golubeva, Valentina Alekseevna 3 Il’in, Vladimir Aleksandrovich 3 Kharatishvili, Guram L. 3 Kozlov, Valeriĭ Vasil’evich 3 Osipov, Yuriĭ Sergeevich 3 Sinaĭ, Yakov Grigor’evich 3 Zhlyabinkova, I. A. 2 Aleksandrov, Pavel Sergeevich 2 Barth, Wolf Paul 2 Burago, Yuriĭ Dmitrievich 2 Chernous’ko, Feliks Leonidovich 2 Emel’yanov, Stanislav Vasil’evich 2 Fedoryuk, Mikhail V. 2 Gabriel, Pierre 2 Haratisvili, G. L. 2 Karatsuba, Anatoliĭ Alekseevich 2 Konovalov, Sergeĭ Petrovich 2 Korovin, Sergeĭ Konstantinovich 2 Kryazhimskiĭ, Arkadiĭ Viktorovich 2 Kurzhanskiĭ, Aleksandr Borisovich 2 Mardzhanishvili, Konstantin Konstantinovich 2 Maz’ya, Vladimir Gilelevich 2 Narasimhan, Raghavan 2 Nikol’skiĭ, Mikhaĭl Sergeevich 2 Popov, Vladimir Leonidovich 2 Postnikov, Mikhail Mikhaĭlovich 2 Reshetnyak, Yuriĭ Grigor’evich 2 Roiter, Andrei V. 2 Rokhlin, Vladimir Abramovich 2 Rozov, Nikolaĭ Khristovich 2 Shiryaev, Al’bert Nikolaevich 2 Skubachevskiĭ, Aleksandr Leonidovich 2 Statulevičius, Vytautas 2 Treshchev, Dmitriĭ Valer’evich 2 Tyurin, Andreĭ Nikolaevich 2 Vasil’ev, Viktor Anatol’evich 2 Vinogradov, Ivan Matveevich 2 Vladimirov, Vasiliĭ Sergeevich 2 Zalgaller, Viktor Abramovich 2 Zelikin, Mikhail Il’ich 1 Agranovich, Mikhail Semënovich 1 Anosov, A. V. 1 Aptekarev, Alexander Ivanovich 1 Apushkinskaya, Darya E. 1 Besov, Konstantin O. 1 Besov, Oleg Vladimirovich 1 Bolibrukh, Andreĭ Andreevich 1 Burenkov, Viktor Ivanovich 1 Davydov, Alekseĭ Aleksandrovich 1 Demidenko, Gennadiĭ Vladimirovich 1 Fel’dman, Naum Il’ich 1 Filippov, Vladimir Mikhaĭlovich 1 Fuchs, Dmitry Borisovich 1 Gol’dman, Mikhail L’vovich 1 Gorbatsevich, Vladimir Vital’evich 1 Goryunov, Victor V. 1 Grauert, Hans 1 Grigorenko, Nikolaĭ Leont’evich 1 Khelemskiĭ, Aleksandr Yakovlevich 1 Izmajlova, T. G. ...and 40 more Co-Authors all top 5 Serials 274 Journal of Mathematical Sciences (New York) 69 Encyclopaedia of Mathematical Sciences 67 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 19 Sovremennaya Matematika. Fundamental’nye Napravleniya 7 Journal of Soviet Mathematics 7 Proceedings of the Steklov Institute of Mathematics 6 Soviet Mathematics. Doklady 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 5 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya 4 Doklady Akademii Nauk SSSR 4 Russian Mathematical Surveys 3 Mathematics of the USSR, Sbornik 3 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Acta Applicandae Mathematicae 2 Doklady Mathematics 2 Journal of Dynamical and Control Systems 2 Differential Equations 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 Mathematical Systems Theory 1 Mathematics of the USSR. Izvestiya 1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 1 Systems & Control Letters 1 Matematicheskiĭ Sbornik 1 Fundamental’naya i Prikladnaya Matematika 1 Doklady Akademii Nauk SSSR. Novaya Seriya 1 SIAM Journal on Control 1 Mathematical Concepts and Methods in Science and Engineering 1 Translations. Series 2. American Mathematical Society 1 Classics of Soviet Mathematics 1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 Springer Collected Works in Mathematics all top 5 Fields 470 General and overarching topics; collections (00-XX) 77 Calculus of variations and optimal control; optimization (49-XX) 75 Partial differential equations (35-XX) 55 Associative rings and algebras (16-XX) 55 Ordinary differential equations (34-XX) 47 Group theory and generalizations (20-XX) 47 Differential geometry (53-XX) 37 Global analysis, analysis on manifolds (58-XX) 35 Functional analysis (46-XX) 35 Systems theory; control (93-XX) 32 Algebraic geometry (14-XX) 32 Nonassociative rings and algebras (17-XX) 32 Dynamical systems and ergodic theory (37-XX) 29 Commutative algebra (13-XX) 27 History and biography (01-XX) 23 Topological groups, Lie groups (22-XX) 21 Probability theory and stochastic processes (60-XX) 19 Several complex variables and analytic spaces (32-XX) 17 Number theory (11-XX) 16 General topology (54-XX) 14 Operator theory (47-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Functions of a complex variable (30-XX) 11 Abstract harmonic analysis (43-XX) 11 Computer science (68-XX) 10 Manifolds and cell complexes (57-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Algebraic topology (55-XX) 9 Operations research, mathematical programming (90-XX) 8 Mechanics of particles and systems (70-XX) 7 Statistics (62-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 4 Category theory; homological algebra (18-XX) 4 Geometry (51-XX) 4 Fluid mechanics (76-XX) 3 Field theory and polynomials (12-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 204 Publications have been cited 4,498 times in 4,109 Documents Cited by ▼ Year ▼ The mathematical theory of optimal processes. Authorized translation from the Russian. Translator: K. N. Trirogoff. Editor: L. W. Neustadt. Zbl 0102.32001 Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 1,346 1962 The mathematical theory of optimal processes. (Математическая теория оптимальных процессов) (Mathematische Theorie der optimalen Prozesse.) Zbl 0102.31901 Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 250 1961 The mathematical theory of optimal processes. Translated from the Russian by D.E.Brown. Zbl 0117.31702 Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 194 1964 Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001 Gabriel, P.; Roiter, A. V. 158 1992 Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008 155 1988 The mathematical theory of optimal processes. (Matematicheskaya teoriya optimal’nykh protsessov). 4th ed. Zbl 0516.49001 Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 154 1983 Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz. Zbl 0401.49001 Gamkrelidze, R. V. 95 1978 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 76 1994 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 71 1993 Number theory III: Diophantine geometry. Zbl 0744.14012 Lang, Serge 69 1991 Selected scientific works. Vol. I: Topology. Topological algebra. Ed. by R. V. Gamkrelidze. (Избранные научные труды. Том I: Топология. Топологическая алгебра.) Zbl 0646.01021 Pontryagin, L. S. 68 1988 Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009 68 1994 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 68 1999 Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010 64 1994 On some extremal problems in the theory of differential equations with applications to the theory of optimal control. Zbl 0296.49009 Gamkrelidze, R. V. 63 1965 Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013 57 1994 Chronological algebras and nonstationary vector fields. Zbl 0473.58021 Agrachev, A. A.; Gamkrelidze, R. V. 55 1980 Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001 Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 54 1969 Exponential representation of flows and chronological calculus. Zbl 0408.34044 Agrachev, A. A.; Gamkrelidze, R. V. 52 1978 Feedback-invariant optimal control theory and differential geometry. I: Regular extremals. Zbl 0952.49019 Agrachev, A. A.; Gamkrelidze, R. V. 45 1997 Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023 45 1993 Local invariants of smooth control systems. Zbl 0681.49018 Agrachev, A. A.; Gamkrelidze, R. V.; Sarychev, A. V. 42 1989 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010 41 2001 Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004 Fel’dman, N. I.; Nesterenko, Yu. V. 40 1998 On the theory of optimum processes. Zbl 0071.18203 Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 39 1956 Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027 37 1991 Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009 37 1989 Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014 35 1989 Optimal sliding states. Zbl 0131.32402 Gamkrelidze, R. V. 34 1962 Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006 32 1997 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001 Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 32 1993 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008 31 1990 Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002 Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E. 30 1974 Selected scientific works. Vol. III: Continuous groups. (Izbrannye nauchnye trudy. Tom 3: Nepreryvnye gruppy). Ed. by R. V. Gamkrelidze. (Izbrannye nauchnye trudy. Tom 3: Nepreryvnye gruppy.) Zbl 0659.22001 Pontryagin, L. S. 29 1988 General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007 29 1990 Optimum-rate processes with bounded phase coordinates. Zbl 0090.30801 Gamkrelidze, R. V. 26 1959 Optimale Steuerungsprozesse bei beschränkten Phasenkoordinaten. Zbl 0168.34702 Gamkrelidze, R. V. 25 1960 Algebra. (Алгебра.) Zbl 1152.17301 24 2006 Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025 23 1991 Symplectic geometry for optimal control. Zbl 0719.49023 Agrachev, A. A.; Gamkrelidze, R. V. 23 1990 The exponential representation of flows and the chronological calculus. Zbl 0429.34044 Agrachev, A. A.; Gamkrelidze, R. V. 23 1979 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 22 2000 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008 22 1994 Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton. Zbl 0778.00010 21 1990 Analysis IV. Linear and boundary integral equations. Transl. from the Russian by A. Böttcher and S. Prössdorf. Zbl 0778.00012 20 1991 Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf. Zbl 0906.00008 19 1999 Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001 19 2006 Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke. Zbl 0801.00007 18 1994 Dynamical systems IX. Transl. from the Russian by G. G. Gould. Zbl 0826.00015 17 1995 Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles. (Оптимальное управление системами, описываемыми уравнениями с частными производными. Translation from the French by N. Kh. Rozov. Edited by R. V. Gamkrelidze.) Zbl 0238.49001 Lions, J. L. 16 1972 On the theory of optimal processes in linear systems. Zbl 0080.07001 Gamkrelidze, R. V. 16 1957 Dynamical systems. III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd ed. Zbl 0785.00010 15 1993 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010 15 1995 Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301 Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 15 1960 General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014 14 1995 Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010 14 1994 A second order optimality principle for a time-optimal problem. Zbl 0377.49014 Agrachev, A. A.; Gamkrelidze, R. V. 14 1978 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008 13 1996 Symplectic methods for optimization and control. Zbl 0965.93034 Agrachev, A.; Gamkrelidze, R. 13 1998 Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021 13 1998 Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024 13 1992 Extremal problems in linear topological spaces. I. Zbl 0167.11502 Gamkrelidze, R. V.; Kharatishvili, G. L. 13 1967 Theorie der bezüglich der Geschwindigkeit optimalen Prozesse in linearen Systemen. Zbl 0081.34703 Gamkrelidze, R. V. 13 1958 Ordinary differential equations on vector bundles and chronological calculi. Zbl 0719.58033 Agrachev, A. A.; Gamkrelidze, R. V.; Vakhrameev, S. A. 13 1989 Discovery of the maximum principle. Zbl 0955.49001 Gamkrelidze, R. V. 12 1999 A differential game of evasion with nonlinear control. Zbl 0308.90065 Gamkrelidze, R. V.; Kharatishvili, G. L. 11 1974 Selected works. Vol. 4. The mathematical theory of optimal processes. Ed. and with a preface by R. V. Gamkrelidze. Transl. from the Russian by K. N. Trirogoff. Transl. ed. by L. W. Neustadt. With a preface by L. W. Neustadt and K. N. Trirogoff. Reprint of the 1962 Engl. translation. Zbl 0882.01027 Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 11 1986 Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002 Zelikin, M. I. 11 2000 Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda. Zbl 0830.00009 11 1996 Differential-geometric and group-theoretic methods in the theory of optimal control. Zbl 0542.93045 Agrachev, A. A.; Vakhrameev, S. A.; Gamkrelidze, R. V. 11 1983 Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets. Zbl 0719.58013 Agrachev, A. A.; Gamkrelidze, R. V. 11 1989 Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007 10 1997 General topology II. Compactness. Homologies of general spaces. Transl. from the Russian by J. M. Lysko. Zbl 0830.00013 10 1996 Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher. Zbl 0778.00011 10 1990 Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009 10 1993 Selected scientific works. Vol. II: Differential equations. Operator theory. Optimal control. Differential games. (Izbrannye nauchnye trudy. Tom II: Differentsial’nye uravneniya. Teoriya operatorov. Optimal’noe upravlenie. Differentsial’nye igry). Ed. by R. V. Gamkrelidze. (Izbrannye nauchnye trudy. Tom II: Differentsial’nye uravneniya. Teoriya operatorov. Optimal’noe upravlenie. Differentsial’nye igry.) Zbl 0656.01015 Pontryagin, L. S. 10 1988 Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007 10 1992 Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016 10 1990 Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017 9 1998 Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King. Zbl 0786.00010 9 1994 Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061 9 1993 Local controllability and semigroups of diffeomorphisms. Zbl 0787.93010 Agrachev, A. A.; Gamkrelidze, R. V. 9 1993 Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028 9 1993 Symplectic geometry and necessary optimality conditions. Zbl 0729.49018 Agrachev, A. A.; Gamkrelidze, R. V. 9 1991 Limit theorems of probability theory. Transl. from the Russian by B. Seckler. Zbl 0945.00013 8 2000 Dynamical systems III. Zbl 0623.00023 8 1987 The theory of optimal processes. I: The maximum principle. Zbl 0098.29404 Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 8 1961 Extremalprobleme in linearen topologischen Räumen. Zbl 0182.18402 Gamkrelidze, R. V.; Haratisvili, G. L. 8 1969 Computation of the Euler characteristic of intersections of real quadrics. Zbl 0721.55001 Agrachev, A. A.; Gamkrelidze, R. V. 8 1988 Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets. Zbl 0727.58009 Agrachev, A. A.; Gamkrelidze, R. V. 8 1991 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 7 1998 The shuffle product and symmetric groups. Zbl 0790.05095 Agrachev, A. A.; Gamkrelidze, R. V. 7 1994 Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011 7 1994 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006 7 1994 Selected works. Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday. Ed. by L. D. Faddeev, R. V. Gamkrelidze, A. A. Karatsuba, K. K. Mardzhanishvili and E. F. Mishchenko. Zbl 0577.01049 Vinogradov, Ivan Matveevich 7 1985 The index of extremality and quasiextremal controls. Zbl 0587.49018 Agrachev, A. A.; Gamkrelidze, R. V. 7 1985 Functional analysis. Transl. from the Russian. Zbl 1099.46501 7 2006 Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014 6 1996 Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501 6 2004 Local controllability for families of diffeomorphisms. Zbl 0778.93003 Agrachev, A. A.; Gamkrelidze, R. V. 6 1993 History of the discovery of the Pontryagin maximum principle. Zbl 1420.49002 Gamkrelidze, R. V. 3 2019 Topology. Translated from the Russian. Zbl 1279.57001 1 2013 The geometry of maximum principle. Zbl 1227.49026 Agrachev, A. A.; Gamkrelidze, R. V. 4 2011 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048 Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P. 1 2010 The Pontryagin derivative in optimal control. Zbl 1208.49021 Gamkrelidze, R. V. 1 2010 Functional-differential equations. Transl. from the Russian. Zbl 1195.35006 1 2010 Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035 Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; Kurzhanskii, A. B.; Marchuk, G. I.; Matrosov, V. M.; Mishchenko, E. F.; Moiseev, E. I.; Osipov, Yu. S.; Pliss, V. A. 1 2009 Hydrodynamics. (Гидродинамика.) Zbl 1170.76300 4 2008 Geometry. (Геометрия.) Zbl 1152.53303 4 2007 Geometry and mechanics. (Геометрия и механика.) Zbl 1152.53302 2 2007 Theory of functions. (Теория функций.) Zbl 1152.41301 1 2007 Algebra. (Алгебра.) Zbl 1152.17301 24 2006 Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001 19 2006 Functional analysis. Transl. from the Russian. Zbl 1099.46501 7 2006 Discovery of the Maxium Principle. Zbl 1088.01011 Gamkrelidze, R. V. 5 2006 Functional differential equations. Transl. from the Russian. Zbl 1093.35003 4 2006 The Pontryagin maximum principle 50 years later. Zbl 1122.49001 Agrachev, A. A.; Gamkrelidze, R. V. 3 2006 Differential equations. Transl. from the Russian. Zbl 1093.35002 2 2006 Optimal control. (Оптимальное управление.) Zbl 1152.49301 2 2006 Vector fields on \(n\)-foliated \(2n\)-dimensional manifolds. Zbl 1244.53094 Agrachev, A. A.; Gamkrelidze, R. V. 1 2006 Complex analysis. (Комплексный анализ.) Zbl 1126.30001 1 2006 General topology and topological algebra. Transl. from the Russian. Zbl 1078.22500 3 2005 Functional analysis. Transl. from the Russian. Zbl 1078.46501 2 2005 Asymptotic methods. Transl. from the Russian. Zbl 1064.35502 1 2005 Functional-differential equations. Transl. from the Russian. Zbl 1078.35504 1 2005 Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501 6 2004 Differential equations on networks. Transl. from the Russan. Zbl 1059.34500 4 2004 Differential and functional differential equations. Part 1. Proceedings of the international conference, Moscow, Russia, August 11–17, 2002. Transl. from the Russian. Zbl 1063.35004 4 2004 Functional analysis. Transl. from the Russian. Zbl 1059.46501 3 2004 Differential and functional differential equations. Part 2. Proceedings of the international conference, Moscow, Russia, August 11–17, 2002. Transl. from the Russian. Zbl 1063.35006 1 2004 Differential equations. Singular perturbations. Transl. from the Russian. Zbl 1059.34501 1 2004 Nikolai Nikolaevich Krasovskiǐ (a tribute in honor of his 80th birthday). Zbl 1169.01306 Anosov, D. V.; Chernous’ko, F. L.; Emel’yanov, S. V.; Gamkrelidze, R. V.; Il’in, V. A.; Korovin, S. K.; et al. 1 2004 Differential equations. Transl. from the Russian. Zbl 1105.37300 1 2004 Partial differential equations. (Differentsial’nye uravneniya s chastnymi proizvodnymi.) Zbl 1089.35502 1 2004 Algebraic geometry. Transl. from the Russian. Zbl 1027.00508 3 2003 Optimal control–4. Transl. from the Russian. Zbl 1011.00017 2 2003 Optimization and related topics–2. Transl. from the Russian. Zbl 1015.00501 1 2003 Optimization and related topics–1. Transl. from the Russian. Zbl 1013.00504 1 2003 Functional analysis–10. Transl. from the Russian. Zbl 1021.00502 1 2003 Functional-differential equations. (Funktsional’no-differentsial’nye uravneniya.) Zbl 1078.35505 1 2003 Complex analysis and representation theory—3. Zbl 0982.00018 3 2002 Dynamical systems – 11. Transl. from the Russian. Zbl 1002.00502 1 2002 Algebra–18. Transl. from the Russian. Zbl 0994.00018 1 2002 Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010 41 2001 Complex analysis and representation theory – 2. Zbl 0982.00017 1 2001 Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011 22 2000 Control theory and optimization. I: Homogeneous spaces and the Riccati equation in the calculus of variations. Transl. from the Russian by S. A. Vakhrameev. Zbl 0951.49002 Zelikin, M. I. 11 2000 Limit theorems of probability theory. Transl. from the Russian by B. Seckler. Zbl 0945.00013 8 2000 Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014 68 1999 Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf. Zbl 0906.00008 19 1999 Discovery of the maximum principle. Zbl 0955.49001 Gamkrelidze, R. V. 12 1999 Functional analysis - 4. Zbl 0930.00011 2 1999 Algebraic geometry - 8. Zbl 0924.00007 1 1999 Mathematical work of L. S. Pontryagin. Zbl 1026.01506 Gamkrelidze, R. V. 1 1999 Dynamical systems - 6. Zbl 0921.00010 1 1999 Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Zbl 0885.11004 Fel’dman, N. I.; Nesterenko, Yu. V. 40 1998 Symplectic methods for optimization and control. Zbl 0965.93034 Agrachev, A.; Gamkrelidze, R. 13 1998 Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021 13 1998 Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017 9 1998 Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin. Zbl 0886.14001 7 1998 Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324 4 1998 The mathematical work of L. S. Pontryagin. Zbl 1026.01505 Gamkrelidze, R. V. 1 1998 Feedback-invariant optimal control theory and differential geometry. I: Regular extremals. Zbl 0952.49019 Agrachev, A. A.; Gamkrelidze, R. V. 45 1997 Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko. Zbl 0855.00006 32 1997 Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007 10 1997 Geometry V: Minimal surfaces. Transl. from the Russian. Zbl 0873.00014 1 1997 Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008 13 1996 Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda. Zbl 0830.00009 11 1996 General topology II. Compactness. Homologies of general spaces. Transl. from the Russian by J. M. Lysko. Zbl 0830.00013 10 1996 Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014 6 1996 Algebra IX. Finite groups of Lie type. Finite-dimensional division algebras. Transl. from the Russian by P. M. Cohn. Zbl 0830.00003 1 1996 Dynamical systems IX. Transl. from the Russian by G. G. Gould. Zbl 0826.00015 17 1995 Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010 15 1995 General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014 14 1995 Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006 3 1995 Number theory I: fundamental problems, ideas and theories. Transl. from the Russian by A. A. Panchishkin. Zbl 0827.00016 2 1995 Commutative harmonic analysis III. Generalized functions. Applications. Transl. from the Russian by R. Cooke. Zbl 0826.00011 2 1995 On the orbits of groups of diffeomorphisms and flows. Zbl 0902.58004 Agrachev, A. A.; Gamkrelidze, R. V. 1 1995 Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015 76 1994 Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009 68 1994 Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010 64 1994 Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky. Zbl 0795.00013 57 1994 Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008 22 1994 Partial differential equations VI. Elliptic and parabolic operators. Transl. from the Russian by M. Capinski, R. Cooke. Zbl 0801.00007 18 1994 Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010 14 1994 Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King. Zbl 0786.00010 9 1994 The shuffle product and symmetric groups. Zbl 0790.05095 Agrachev, A. A.; Gamkrelidze, R. V. 7 1994 Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011 7 1994 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006 7 1994 Algebra V. Homological algebra. Translated from the Russian by S.I. Gelfand and Yu.I. Manin. (Algebra V. Homological algebra. Transl. from the Russian by S. I. Gelfand and Yu. I. Manin.) Zbl 0787.00007 5 1994 Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008 71 1993 Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023 45 1993 Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001 Arnol’d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A. 32 1993 Dynamical systems. III. Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by A. Iacob. 2nd ed. Zbl 0785.00010 15 1993 Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009 10 1993 Geometry IV. Non-regular Riemannian geometry. Transl. from the Russian by E. Primrose. Zbl 0777.00061 9 1993 Local controllability and semigroups of diffeomorphisms. Zbl 0787.93010 Agrachev, A. A.; Gamkrelidze, R. V. 9 1993 Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028 9 1993 Local controllability for families of diffeomorphisms. Zbl 0778.93003 Agrachev, A. A.; Gamkrelidze, R. V. 6 1993 Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian. Zbl 0777.00034 4 1993 ...and 104 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,387 Authors 45 Agrachev, Andreĭ Aleksandrovich 31 Bonnard, Bernard 30 Sachkov, Yuriĭ Leonidovich 30 Trélat, Emmanuel 25 Schättler, Heinz Michael 22 Arutyunov, Aram Vladimirovic 21 Danilin, Alekseĭ Rufimovich 21 Ledzewicz, Urszula 21 Torres, Delfim Fernando Marado 20 Khailov, Evgenii N. 20 Sarychev, Andrey V. 19 Aseev, Sergei M. 19 Gamkrelidze, Revaz Valerianovich 19 Kar, Tapan Kumar 19 Karamzin, Dmitry Yu. 19 Llibre, Jaume 18 Bortakovskii, A. S. 18 Grigorieva, Ellina V. 18 Kalinin, Anatoliĭ Iosifovich 18 Rachik, Mostafa 16 Lobo Pereira, Fernando 16 Naumkin, Pavel Ivanovich 16 Taras’ev, Aleksandr Mikhaĭlovich 15 Jana, Soovoojeet 15 Krasovskiĭ, Nikolaĭ Nikolaevich 15 Subbotina, Nina N. 14 Akulenko, Leonid Denisovich 14 Levskii, M. V. 14 Mahmudov, Elimhan Nadir 14 Orlov, Mikhail V. 13 Bayen, Térence 13 Bourdin, Loïc 13 Ebrahimi-Fard, Kurusch 13 Mardanov, Misir Dzhumail ogly 13 Maurer, Helmut 13 Samanta, Guru Prasad 13 Simson, Daniel 12 Avakov, Evgeniĭ Rachievich 12 Chernous’ko, Feliks Leonidovich 12 Dmitruk, Andrei V. 12 Magaril-Il’yaev, Gregoriĭ Geogrievich 12 Nikol’skiĭ, Mikhaĭl Sergeevich 11 Cherkasov, Oleg Yur’evich 11 Cots, Olivier 11 Frankowska, Hélène 11 Hayashi, Nakao 11 Manchon, Dominique 11 Molodenkov, Alekseĭ Vladimirovich 11 Mordukhovich, Boris S. 11 Orlov, Sergey M. 11 Vakhrameev, S. A. 10 Balatif, Omar 10 Lavrinovich, Leonid Ivanovich 10 Mushayabasa, Steady 10 Osmolovskiĭ, Nikolaĭ Pavlovich 10 Rouot, Jérémy 10 Sapunkov, Yakov Grigor’evich 10 Shaburov, Aleksandr Aleksandrovich 10 Tadumadze, Tamaz A. 10 Zelenko, Igor 9 Chentsov, Aleksandr Georgievich 9 Gaeta, Giuseppe 9 Hammer, Jacob 9 Ignatovich, Svetlana Yu. 9 Kiselev, Yuri N. 9 Kolpakov, Alexander A. 9 Melikov, Telman Kuli 9 Pal, Debkumar 9 Patras, Frédéric 9 Podobryaev, Alekseĭ V. 9 Silva, Cristiana J. 9 Vakakis, Alexander F. 9 Valls Anglés, Cláudia 8 Arzhantsev, Ivan Vladimirovich 8 Ayala, Victor 8 Barilari, Davide 8 Berestovskiĭ, Valeriĭ Nikolaevich 8 Brüstle, Thomas 8 Gendelman, Oleg V. 8 Grigorenko, Nikolaĭ Leont’evich 8 Khan, Muhammad Altaf 8 Kovrizhnykh, Ol’ga Olegovna 8 Lenhart, Suzanne M. 8 Los, Valerii M. 8 Malik, Samin T. 8 Morzhin, Oleg Vasil’evich 8 Okosun, Kazeem Oare 8 Pechen, Alexander Nikolaevich 8 Shmatkov, Anton M. 8 Sklyar, Grigory Mikhailovitch 8 Vinter, Richard B. 8 Zhan, Huashui 7 Avvakumov, S. N. 7 Azhmyakov, Vadim 7 Bautista, Raymundo 7 Biswas, Md. Haider Ali 7 Chyba, Monique 7 de Pinho, Maria do Rosário 7 Giné, Jaume 7 Kirillova, Faina Mikhaǐlovna ...and 5,287 more Authors all top 5 Cited in 620 Serials 92 Journal of Optimization Theory and Applications 91 Journal of Mathematical Analysis and Applications 83 Journal of Mathematical Sciences (New York) 82 Proceedings of the Steklov Institute of Mathematics 72 Automatica 67 Journal of Computer and Systems Sciences International 66 Journal of Algebra 66 Journal of Dynamical and Control Systems 62 Journal of Differential Equations 61 Journal of Applied Mathematics and Mechanics 49 Differential Equations 47 Journal of Geometry and Physics 47 Automation and Remote Control 46 SIAM Journal on Control and Optimization 44 Advances in Mathematics 44 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 39 Systems & Control Letters 35 Optimal Control Applications & Methods 34 Mathematical Biosciences 33 Physica D 32 Applied Mathematics and Computation 32 Journal of Pure and Applied Algebra 29 Journal of the Franklin Institute 29 Linear Algebra and its Applications 28 Mathematical Methods in the Applied Sciences 27 International Journal of Control 27 Chaos, Solitons and Fractals 27 Nonlinear Analysis. 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Neuvième Série 11 Lobachevskii Journal of Mathematics 11 Computational & Mathematical Methods in Medicine 11 International Journal of Applied and Computational Mathematics 10 Journal of Computational Physics 10 Journal für die Reine und Angewandte Mathematik 10 Mathematische Nachrichten ...and 520 more Serials all top 5 Cited in 63 Fields 1,604 Calculus of variations and optimal control; optimization (49-XX) 765 Systems theory; control (93-XX) 559 Biology and other natural sciences (92-XX) 526 Ordinary differential equations (34-XX) 379 Dynamical systems and ergodic theory (37-XX) 337 Differential geometry (53-XX) 332 Partial differential equations (35-XX) 309 Mechanics of particles and systems (70-XX) 283 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 255 Algebraic geometry (14-XX) 197 Operations research, mathematical programming (90-XX) 190 Associative rings and algebras (16-XX) 161 Numerical analysis (65-XX) 150 Global analysis, analysis on manifolds (58-XX) 124 Probability theory and stochastic processes (60-XX) 111 Several complex variables and analytic spaces (32-XX) 108 Quantum theory (81-XX) 107 Nonassociative rings and algebras (17-XX) 105 Topological groups, Lie groups (22-XX) 104 Group theory and generalizations (20-XX) 87 Functional analysis (46-XX) 82 Operator theory (47-XX) 79 Manifolds and cell complexes (57-XX) 72 Category theory; homological algebra (18-XX) 69 Functions of a complex variable (30-XX) 68 Computer science (68-XX) 67 Linear and multilinear algebra; matrix theory (15-XX) 61 Number theory (11-XX) 59 Statistical mechanics, structure of matter (82-XX) 55 Combinatorics (05-XX) 51 Fluid mechanics (76-XX) 50 Commutative algebra (13-XX) 50 Convex and discrete geometry (52-XX) 50 General topology (54-XX) 50 Mechanics of deformable solids (74-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 43 Real functions (26-XX) 40 Geometry (51-XX) 38 Approximations and expansions (41-XX) 35 Algebraic topology (55-XX) 33 History and biography (01-XX) 31 Integral equations (45-XX) 27 Difference and functional equations (39-XX) 26 Optics, electromagnetic theory (78-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 22 Statistics (62-XX) 21 Special functions (33-XX) 20 Measure and integration (28-XX) 20 Information and communication theory, circuits (94-XX) 19 Relativity and gravitational theory (83-XX) 18 Abstract harmonic analysis (43-XX) 17 Mathematical logic and foundations (03-XX) 12 Potential theory (31-XX) 12 Integral transforms, operational calculus (44-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 General and overarching topics; collections (00-XX) 9 \(K\)-theory (19-XX) 5 Field theory and polynomials (12-XX) 4 Sequences, series, summability (40-XX) 4 Geophysics (86-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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