## Gamkrelidze, Revaz Valerianovich

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 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: 94 Publications since 1953, including 16 Books 484 Contributions as Editor · 3 Further Contributions Biographic References: 7 Publications Co-Authors: 109 Co-Authors with 348 Joint Publications 3,679 Co-Co-Authors
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### Serials

 273 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 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 Mathematics 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
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### 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) 31 Dynamical systems and ergodic theory (37-XX) 29 Commutative algebra (13-XX) 25 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)

### Citations contained in zbMATH Open

160 Publications have been cited 1,982 times in 1,622 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.
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.
1961
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.
1983
Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz. Zbl 0401.49001
Gamkrelidze, R. V.
1978
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.
1964
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
1991
On some extremal problems in the theory of differential equations with applications to the theory of optimal control. Zbl 0296.49009
Gamkrelidze, R. V.
1965
Exponential representation of flows and chronological calculus. Zbl 0408.34044
Agrachev, A. A.; Gamkrelidze, R. V.
1978
Feedback-invariant optimal control theory and differential geometry. I: Regular extremals. Zbl 0952.49019
Agrachev, A. A.; Gamkrelidze, R. V.
1997
Chronological algebras and nonstationary vector fields. Zbl 0473.58021
Agrachev, A. A.; Gamkrelidze, R. V.
1980
Local invariants of smooth control systems. Zbl 0681.49018
Agrachev, A. A.; Gamkrelidze, R. V.; Sarychev, A. V.
1989
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian. Zbl 0658.00008
1988
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
1994
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.
1988
Optimal sliding states. Zbl 0131.32402
Gamkrelidze, R. V.
1962
Algebra. (Алгебра.) Zbl 1152.17301
2006
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.
1988
The exponential representation of flows and the chronological calculus. Zbl 0429.34044
Agrachev, A. A.; Gamkrelidze, R. V.
1979
Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001
2006
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
1993
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
1974
Optimum-rate processes with bounded phase coordinates. Zbl 0090.30801
Gamkrelidze, R. V.
1959
Symplectic geometry for optimal control. Zbl 0719.49023
Agrachev, A. A.; Gamkrelidze, R. V.
1990
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
1956
Analysis - 10. Zbl 0903.00015
1998
A second order optimality principle for a time-optimal problem. Zbl 0377.49014
Agrachev, A. A.; Gamkrelidze, R. V.
1978
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
2000
Symplectic methods for optimization and control. Zbl 0965.93034
Agrachev, A.; Gamkrelidze, R.
1998
Extremal problems in linear topological spaces. I. Zbl 0167.11502
Gamkrelidze, R. V.; Kharatishvili, G. L.
1967
Differential-geometric and group-theoretic methods in the theory of optimal control. Zbl 0542.93045
Agrachev, A. A.; Vakhrameev, S. A.; Gamkrelidze, R. V.
1983
Ordinary differential equations on vector bundles and chronological calculi. Zbl 0719.58033
Agrachev, A. A.; Gamkrelidze, R. V.; Vakhrameev, S. A.
1989
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.
1986
Discovery of the maximum principle. Zbl 0955.49001
Gamkrelidze, R. V.
1999
Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets. Zbl 0719.58013
Agrachev, A. A.; Gamkrelidze, R. V.
1989
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
1993
Symplectic geometry and necessary optimality conditions. Zbl 0729.49018
Agrachev, A. A.; Gamkrelidze, R. V.
1991
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.
1998
A differential game of evasion with nonlinear control. Zbl 0308.90065
Gamkrelidze, R. V.; Kharatishvili, G. L.
1974
Computation of the Euler characteristic of intersections of real quadrics. Zbl 0721.55001
Agrachev, A. A.; Gamkrelidze, R. V.
1988
Controle optimal de systemes gouvernes par des equations aux derivees partielles. (Optimal’noe upravlenie sistemami, opisyvaemymi uravnenijami s castnymi proizvodnymi.) Übersetzung aus dem Französischen von N. h. Rozov. Herausgegeben von R. V. Gamkrelidze. Zbl 0238.49001
Lions, J. L.
1972
Extremalprobleme in linearen topologischen Räumen. Zbl 0182.18402
Gamkrelidze, R. V.; Haratisvili, G. L.
1969
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.
1988
The index of extremality and quasiextremal controls. Zbl 0587.49018
Agrachev, A. A.; Gamkrelidze, R. V.
1985
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.
1993
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.
2000
On the theory of optimal processes in linear systems. Zbl 0080.07001
Gamkrelidze, R. V.
1957
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
1961
Functional analysis. Transl. from the Russian. Zbl 1099.46501
2006
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
1994
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
1992
Local controllability for families of diffeomorphisms. Zbl 0778.93003
Agrachev, A. A.; Gamkrelidze, R. V.
1993
Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets. Zbl 0727.58009
Agrachev, A. A.; Gamkrelidze, R. V.
1991
Local controllability and semigroups of diffeomorphisms. Zbl 0787.93010
Agrachev, A. A.; Gamkrelidze, R. V.
1993
Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014
1999
Theorie der bezüglich der Geschwindigkeit optimalen Prozesse in linearen Systemen. Zbl 0081.34703
Gamkrelidze, R. V.
1958
Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian. Zbl 0778.00014
1989
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
1998
The shuffle product and symmetric groups. Zbl 0790.05095
Agrachev, A. A.; Gamkrelidze, R. V.
1994
Hydrodynamics. (Гидродинамика.) Zbl 1170.76300
2008
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
1998
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
1960
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
2001
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
1990
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
1992
The Morse index and the Maslov index for extremals of controlled systems. Zbl 0614.58016
Agrachev, A. A.; Gamkrelidze, R. V.
1986
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
1994
Limit theorems of probability theory. Transl. from the Russian by B. Seckler. Zbl 0945.00013
2000
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
2004
Geometry. (Геометрия.) Zbl 1152.53303
2007
Discovery of the Maxium Principle. Zbl 1088.01011
Gamkrelidze, R. V.
2006
Differential equations on networks. Transl. from the Russan. Zbl 1059.34500
2004
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
1991
Algebraic geometry. Transl. from the Russian. Zbl 1027.00508
2003
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
1997
The Pontryagin maximum principle 50 years later. Zbl 1122.49001
Agrachev, A. A.; Gamkrelidze, R. V.
2006
Complex analysis and representation theory—3. Zbl 0982.00018
2002
Quasi-extremality for control systems. Zbl 0721.58014
Agrachev, A. A.; Gamkrelidze, R. V.
1989
Volterra series and permutation groups. Zbl 0835.58030
Agrachëv, A. A.; Gamkrelidze, R. V.
1991
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
1994
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
1994
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
1998
The geometry of maximum principle. Zbl 1227.49026
Agrachev, A. A.; Gamkrelidze, R. V.
2011
General topology and topological algebra. Transl. from the Russian. Zbl 1078.22500
2005
Functional analysis. Transl. from the Russian. Zbl 1059.46501
2004
Differential equations. Transl. from the Russian. Zbl 1093.35002
2006
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
1990
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
1994
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2004
Algebra - 2. (Algebra - 2.) Zbl 0639.00007
1988
Analysis I. Integral presentations asymptotic methods. Zbl 0679.00009
1989
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
1997
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
1985
Sliding regimes in the theory of optimal control. Zbl 0599.49010
Gamkrelidze, R. V.
1985
Dynamical systems III. (Transl. from the Russian). Zbl 0623.00023
1987
Ordinary differential equations on vector bundles and chronological calculus. Zbl 0727.58042
Gamkrelidze, R. V.; Agrachev, A. A.; Vakhrameev, S. A.
1991
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
1993
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
1994
Optimal control–4. Transl. from the Russian. Zbl 1011.00017
2003
Exponential representation of solutions of ordinary differential equations. Zbl 0417.34007
Gamkrelidze, R.
1979
History of the discovery of the Pontryagin maximum principle. Zbl 1420.49002
Gamkrelidze, R. V.
2019
Topology. Translated from the Russian. Zbl 1279.57001
2013
The geometry of maximum principle. Zbl 1227.49026
Agrachev, A. A.; Gamkrelidze, R. V.
2011
The Pontryagin derivative in optimal control. Zbl 1208.49021
Gamkrelidze, R. V.
2010
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&rsquo;tsev, A. A.; Nikol&rsquo;skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P.
2010
Nikolai Nikolaevich Krasovskii (A tribute in honor of his eighty-fifth birthday). Zbl 1179.01035
Anosov, D. V.; Chernous&rsquo;ko, F. L.; Emel&rsquo;yanov, S. V.; Gamkrelidze, R. V.; Il&rsquo;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.
2009
Hydrodynamics. (Гидродинамика.) Zbl 1170.76300
2008
Geometry. (Геометрия.) Zbl 1152.53303
2007
Geometry and mechanics. (Геометрия и механика.) Zbl 1152.53302
2007
Theory of functions. (Теория функций.) Zbl 1152.41301
2007
Algebra. (Алгебра.) Zbl 1152.17301
2006
Algebraic geometry. (Алгебраическая геометрия.) Zbl 1126.14001
2006
Functional analysis. Transl. from the Russian. Zbl 1099.46501
2006
Discovery of the Maxium Principle. Zbl 1088.01011
Gamkrelidze, R. V.
2006
The Pontryagin maximum principle 50 years later. Zbl 1122.49001
Agrachev, A. A.; Gamkrelidze, R. V.
2006
Differential equations. Transl. from the Russian. Zbl 1093.35002
2006
Optimal control. (Оптимальное управление.) Zbl 1152.49301
2006
Vector fields on $$n$$-foliated $$2n$$-dimensional manifolds. Zbl 1244.53094
Agrachev, A. A.; Gamkrelidze, R. V.
2006
Functional differential equations. Transl. from the Russian. Zbl 1093.35003
2006
Complex analysis. (Комплексный анализ.) Zbl 1126.30001
2006
General topology and topological algebra. Transl. from the Russian. Zbl 1078.22500
2005
Asymptotic methods. Transl. from the Russian. Zbl 1064.35502
2005
Functional-differential equations. Transl. from the Russian. Zbl 1078.35504
2005
Functional analysis. Transl. from the Russian. Zbl 1078.46501
2005
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
2004
Differential equations on networks. Transl. from the Russan. Zbl 1059.34500
2004
Functional analysis. Transl. from the Russian. Zbl 1059.46501
2004
Topology II. Homotopy and homology. Classical manifolds. Transl. from the Russian. Zbl 1090.55501
2004
Differential equations. Transl. from the Russian. Zbl 1105.37300
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
2004
Nikolai Nikolaevich Krasovskiǐ (a tribute in honor of his 80th birthday). Zbl 1169.01306
Anosov, D. V.; Chernous&rsquo;ko, F. L.; Emel&rsquo;yanov, S. V.; Gamkrelidze, R. V.; Il&rsquo;in, V. A.; Korovin, S. K.; et al.
2004
Differential equations. Singular perturbations. Transl. from the Russian. Zbl 1059.34501
2004
Algebraic geometry. Transl. from the Russian. Zbl 1027.00508
2003
Optimal control–4. Transl. from the Russian. Zbl 1011.00017
2003
Optimization and related topics–2. Transl. from the Russian. Zbl 1015.00501
2003
Optimization and related topics–1. Transl. from the Russian. Zbl 1013.00504
2003
Functional analysis–10. Transl. from the Russian. Zbl 1021.00502
2003
Functional-differential equations. (Funktsional’no-differentsial’nye uravneniya.) Zbl 1078.35505
2003
Complex analysis and representation theory—3. Zbl 0982.00018
2002
Algebra–18. Transl. from the Russian. Zbl 0994.00018
2002
Dynamical systems – 11. Transl. from the Russian. Zbl 1002.00502
2002
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Zbl 1048.00010
2001
Complex analysis and representation theory – 2. Zbl 0982.00017
2001
Lie groups and Lie algebras II. Transl. from the Russian by John Danskin. Zbl 0932.00011
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.
2000
Limit theorems of probability theory. Transl. from the Russian by B. Seckler. Zbl 0945.00013
2000
Discovery of the maximum principle. Zbl 0955.49001
Gamkrelidze, R. V.
1999
Algebraic geometry V: Fano varieties. Transl. from the Russian by Yu. G. Prokhorov and S. Tregub. Zbl 0903.00014
1999
Functional analysis - 4. Zbl 0930.00011
1999
Algebraic geometry - 8. Zbl 0924.00007
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
1999
Dynamical systems - 6. Zbl 0921.00010
1999
Mathematical work of L. S. Pontryagin. Zbl 1026.01506
Gamkrelidze, R. V.
1999
Analysis - 10. Zbl 0903.00015
1998
Symplectic methods for optimization and control. Zbl 0965.93034
Agrachev, A.; Gamkrelidze, R.
1998
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&rsquo;dman, N. I.; Nesterenko, Yu. V.
1998
Commutative harmonic analysis II. Group methods in commutative harmonic analysis. Transl. from the Russian. Zbl 0892.00021
1998
Probability theory III. Stochastic calculus. Transl. from the Russian by P. B. Slater. Zbl 0879.00017
1998
Number theory IV: Transcendental numbers. Transl. from the Russian by N. Koblitz. Zbl 1155.00324
1998
Feedback-invariant optimal control theory and differential geometry. I: Regular extremals. Zbl 0952.49019
Agrachev, A. A.; Gamkrelidze, R. V.
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
1997
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
1997
Algebraic geometry II. Cohomology of algebraic varieties. Algebraic surfaces. Transl. from the Russian by R. Treger. Zbl 0830.00008
1996
Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns. Zbl 0830.00014
1996
General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould. Zbl 0826.00014
1995
On the orbits of groups of diffeomorphisms and flows. Zbl 0902.58004
Agrachev, A. A.; Gamkrelidze, R. V.
1995
Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić. Zbl 0826.00010
1995
Several complex variables VII. Sheaf-theoretical methods in complex analysis. Zbl 0793.00010
1994
Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff. Zbl 0791.00009
1994
The shuffle product and symmetric groups. Zbl 0790.05095
Agrachev, A. A.; Gamkrelidze, R. V.
1994
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
1994
Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall. Zbl 0788.00015
1994
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
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
1994
Algebraic geometry I: algebraic curves, algebraic manifolds and schemes. Transl. from the Russian by D. Coray and V. N. Shokurov. Zbl 0787.00008
1994
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
1994
Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin. Zbl 0786.00008
1993
Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski. Zbl 0777.00023
1993
Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel. Zbl 0778.58001
Arnol&rsquo;d, V. I.; Goryunov, V. V.; Lyashko, O. V.; Vassiliev, Victor A.
1993
Local controllability for families of diffeomorphisms. Zbl 0778.93003
Agrachev, A. A.; Gamkrelidze, R. V.
1993
Local controllability and semigroups of diffeomorphisms. Zbl 0787.93010
Agrachev, A. A.; Gamkrelidze, R. V.
1993
Several complex variables V. Complex analysis in partial differential equations and mathematical physics. Transl. from the Russian. Zbl 0782.00028
1993
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
1993
Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian. Zbl 0839.16001
Gabriel, P.; Roiter, A. V.
1992
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
1992
Number theory II: Algebraic number theory. Transl. from the Russian. Zbl 0814.00007
1992
Symplectic geometry and necessary conditions for optimality. Zbl 0776.49014
Agrachev, A. A.; Gamkrelidze, R. V.
1992
Number theory III: Diophantine geometry. Zbl 0744.14012
Lang, Serge
1991
Symplectic geometry and necessary optimality conditions. Zbl 0729.49018
Agrachev, A. A.; Gamkrelidze, R. V.
1991
Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets. Zbl 0727.58009
Agrachev, A. A.; Gamkrelidze, R. V.
1991
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
1991
Volterra series and permutation groups. Zbl 0835.58030
Agrachëv, A. A.; Gamkrelidze, R. V.
1991
Ordinary differential equations on vector bundles and chronological calculus. Zbl 0727.58042
Gamkrelidze, R. V.; Agrachev, A. A.; Vakhrameev, S. A.
1991
Algebra II: Noncommutative rings. Identities. Transl. from the Russian by E. Behr. Zbl 0724.00012
1991
Geometry I: basic ideas and concepts of differential geometry. Transl. from the Russian by E. Primrose. Zbl 0741.00027
1991
Dynamical systems - 9. (Dinamicheskie sistemy - 9). Zbl 0734.00025
1991
Volterra series and permutation groups. Zbl 0797.58073
Agrachëv, A. A.; Gamkrelidze, R. V.
1991
Symplectic geometry for optimal control. Zbl 0719.49023
Agrachev, A. A.; Gamkrelidze, R. V.
1990
Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Zbl 0778.00008
1990
Several complex variables I. Introduction to complex analysis. Transl. from the Russian by P. M. Gauthier. Zbl 0778.00016
1990
...and 60 more Documents
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### Cited by 2,042 Authors

 39 Agrachev, Andreĭ Aleksandrovich 22 Sachkov, Yuriĭ Leonidovich 18 Arutyunov, Aram Vladimirovic 18 Bonnard, Bernard 18 Gamkrelidze, Revaz Valerianovich 16 Trélat, Emmanuel 15 Karamzin, Dmitry Yu. 14 Aseev, Sergei M. 13 Danilin, Alekseĭ Rufimovich 13 Khailov, Evgenii N. 13 Schättler, Heinz Michael 12 Rachik, Mostafa 11 Orlov, Mikhail V. 11 Subbotina, Nina N. 11 Vakhrameev, S. A. 9 Chernous’ko, Feliks Leonidovich 9 Ebrahimi-Fard, Kurusch 9 Kalinin, Anatoly I. 9 Nikol’skiĭ, Mikhaĭl Sergeevich 9 Tadumadze, Tamaz A. 9 Torres, Delfim Fernando Marado 9 Zelenko, Igor 8 Ardentov, Andrei A. 8 Ignatovich, Svetlana Yu. 8 Ledzewicz, Urszula 8 Lobo Pereira, Fernando 8 Manchon, Dominique 8 Mordukhovich, Boris S. 8 Taras’ev, Aleksandr Mikhaĭlovich 7 Balatif, Omar 7 Bourdin, Loïc 7 Dmitruk, Andrei V. 7 Hammer, Jacob 7 Kouidere, Abdelfatah 7 Mardanov, Misir Dzhumail ogly 6 Avakov, Evgeniĭ Rachievich 6 Ayala, Victor 6 Barilari, Davide 6 Bortakovskii, A. S. 6 Frankowska, Hélène 6 Jana, Soovoojeet 6 Levskii, M. V. 6 Magaril-Il’yaev, Gregoriĭ Geogrievich 6 Orlov, Sergey M. 6 Papageorgiou, Nikolaos S. 6 Podobryaev, Alekseĭ V. 6 Shaburov, Aleksandr Aleksandrovich 6 Sigalotti, Mario 6 Sklyar, Grigory Mikhailovitch 5 Akulenko, Leonid Denisovich 5 Azhmyakov, Vadim 5 Boarotto, Francesco 5 Deng, Bangming 5 Kar, Tapan Kumar 5 Kaśkosz, Barbara 5 Kharatishvili, Guram L. 5 Kovrizhnykh, O. O. 5 Ledyaev, Yuri Semenovich 5 Li, Chengbo 5 Morzhin, Oleg Vasil’evich 5 Osmolovskiĭ, Nikolaĭ Pavlovich 5 Ovseevich, Aleksandr Iosifovich 5 Patras, Frédéric 5 Rizzi, Luca 5 Shmatkov, A. M. 5 Silva, Geraldo Nunes 5 Simson, Daniel 4 Almeida, Ricardo 4 Barbero-Liñán, María 4 Basin, Michael V. 4 Biggs, Rory 4 Boscain, Ugo 4 Chentsov, Aleksandr Georgievich 4 Choi, Ho-Lim 4 Chyba, Monique 4 Danane, Jaouad 4 de Oliveira, Valeriano Antunes 4 Fedorov, Alekseĭ Konstantinovich 4 Ghosh, Mini 4 Grigorenko, Nikolaĭ Leont’evich 4 Grigorieva, Ellina V. 4 Henderson, Johnny Lee 4 Herschend, Martin 4 Houska, Boris 4 Kirillova, Faina Mihaǐlovna 4 Kiselev, Yuri N. 4 Krasovskii, Andrey Arsenevich 4 Kryazhimskiĭ, Arkadiĭ Viktorovich 4 Lavrinovich, L. I. 4 Lee, Paul W. Y. 4 Lee, Sunmi 4 Lokutsievskiy, Lev Viacheslavovich 4 Mahmudov, Elimhan Nadir 4 Malik, Samin T. 4 Martín de Diego, David 4 Melikov, Telman Kuli 4 Michel, Philippe 4 Molodenkov, Alekseĭ Vladimirovich 4 Pechen, Alexander Nikolaevich 4 Pickenhain, Sabine ...and 1,942 more Authors
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### Cited in 367 Serials

 65 Journal of Mathematical Sciences (New York) 64 Proceedings of the Steklov Institute of Mathematics 57 Journal of Optimization Theory and Applications 47 Journal of Mathematical Analysis and Applications 43 Journal of Dynamical and Control Systems 36 Automatica 36 Differential Equations 34 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 33 Journal of Differential Equations 30 Automation and Remote Control 25 Acta Mathematica Academiae Scientiarum Hungaricae 24 Journal of Algebra 22 Journal of Computer and Systems Sciences International 21 SIAM Journal on Control and Optimization 21 Systems & Control Letters 19 Mathematical Biosciences 18 Journal of Applied Mathematics and Mechanics 18 Journal of the Franklin Institute 17 Applied Mathematics and Computation 17 Acta Applicandae Mathematicae 15 Chaos, Solitons and Fractals 15 Journal of Soviet Mathematics 13 International Journal of Control 13 Mathematical Notes 12 Analysis Mathematica 12 Transformation Groups 11 Prikladnaya Matematika i Mekhanika 11 Computational Mathematics and Mathematical Physics 10 Journal of Geometry and Physics 10 Journal of Pure and Applied Algebra 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Doklady Mathematics 10 Nonlinear Dynamics 9 Bulletin of Mathematical Biology 9 Annales de l’Institut Fourier 9 Mathematical Problems in Engineering 8 Computers & Mathematics with Applications 8 Geometriae Dedicata 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Moscow University Computational Mathematics and Cybernetics 8 Differential Geometry and its Applications 8 Linear Algebra and its Applications 8 European Journal of Control 8 Mathematical Modelling of Natural Phenomena 7 Siberian Mathematical Journal 7 MCSS. Mathematics of Control, Signals, and Systems 7 Computational Mathematics and Modeling 7 European Journal of Operational Research 7 Calculus of Variations and Partial Differential Equations 7 Discrete Dynamics in Nature and Society 7 International Journal of Biomathematics 6 Journal of Mathematical Biology 6 Advances in Mathematics 6 Kybernetika 6 Mathematics and Computers in Simulation 6 Theoretical Population Biology 6 Transactions of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 Foundations of Computational Mathematics 6 Discrete and Continuous Dynamical Systems. Series B 6 Computational & Mathematical Methods in Medicine 6 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 6 Nonlinear Analysis. Theory, Methods & Applications 6 Ural Mathematical Journal 5 Communications in Algebra 5 Duke Mathematical Journal 5 Journal of Computational and Applied Mathematics 5 Mathematische Zeitschrift 5 Topology and its Applications 5 Optimization 5 Mathematical and Computer Modelling 5 Applied Mathematical Modelling 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Georgian Mathematical Journal 5 Sbornik: Mathematics 5 Regular and Chaotic Dynamics 5 Journal of Algebra and its Applications 5 Journal of Biological Dynamics 5 Optimization Letters 5 Journal of Geometric Mechanics 5 Journal of Theoretical Biology 4 Communications in Mathematical Physics 4 Physica A 4 Physics Letters. A 4 Russian Mathematical Surveys 4 Functional Analysis and its Applications 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Functional Analysis 4 Pacific Journal of Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Filomat 4 Geometry & Topology 4 Algebras and Representation Theory 4 Communications in Nonlinear Science and Numerical Simulation 4 Lobachevskii Journal of Mathematics 4 Journal of Applied Mathematics 4 Networks and Heterogeneous Media 4 Games 4 Numerical Algebra, Control and Optimization ...and 267 more Serials
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### Cited in 60 Fields

 776 Calculus of variations and optimal control; optimization (49-XX) 417 Systems theory; control (93-XX) 203 Biology and other natural sciences (92-XX) 195 Ordinary differential equations (34-XX) 149 Differential geometry (53-XX) 117 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 113 Mechanics of particles and systems (70-XX) 95 Partial differential equations (35-XX) 89 Dynamical systems and ergodic theory (37-XX) 78 Operations research, mathematical programming (90-XX) 76 Global analysis, analysis on manifolds (58-XX) 69 Associative rings and algebras (16-XX) 60 Algebraic geometry (14-XX) 56 Numerical analysis (65-XX) 44 Nonassociative rings and algebras (17-XX) 37 Probability theory and stochastic processes (60-XX) 36 Topological groups, Lie groups (22-XX) 29 Several complex variables and analytic spaces (32-XX) 28 Category theory; homological algebra (18-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 25 Functional analysis (46-XX) 25 Quantum theory (81-XX) 23 Operator theory (47-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Mechanics of deformable solids (74-XX) 21 Fluid mechanics (76-XX) 20 Approximations and expansions (41-XX) 20 Manifolds and cell complexes (57-XX) 20 Computer science (68-XX) 19 Combinatorics (05-XX) 19 Group theory and generalizations (20-XX) 19 Real functions (26-XX) 16 History and biography (01-XX) 16 Number theory (11-XX) 15 Functions of a complex variable (30-XX) 15 Integral equations (45-XX) 14 Commutative algebra (13-XX) 14 Convex and discrete geometry (52-XX) 12 General topology (54-XX) 12 Algebraic topology (55-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Geometry (51-XX) 8 Mathematical logic and foundations (03-XX) 8 Measure and integration (28-XX) 7 Statistics (62-XX) 7 Optics, electromagnetic theory (78-XX) 6 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Integral transforms, operational calculus (44-XX) 6 Information and communication theory, circuits (94-XX) 5 $$K$$-theory (19-XX) 5 Special functions (33-XX) 5 Abstract harmonic analysis (43-XX) 4 Difference and functional equations (39-XX) 4 Relativity and gravitational theory (83-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX)

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