Edit Profile (opens in new tab) Pontryagin, Lev Semënovich Compute Distance To: Compute Author ID: pontryagin.lev-s Published as: Pontryagin, L. S.; Pontrjagin, L.; Pontrjagin, L. S.; Pontryagin, L.; Pontriaguine, L.; Pontrjagin, Leon; Pontriaguine, Lev Semenovitch; Pontryagin, Lev Semënovich; Pontryagin, Lev S.; Pontriagin, L.; Pontrjagin. L. more...less Further Spellings: Понтрягин Лев Семенович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 188 Publications since 1927, including 44 Books 7 Contributions as Editor · 1 Further Contribution Biographic References: 40 Publications Co-Authors: 34 Co-Authors with 60 Joint Publications 1,238 Co-Co-Authors all top 5 Co-Authors 132 single-authored 26 Mishchenko, Evgeniĭ Frolovich 21 Gamkrelidze, Revaz Valerianovich 14 Boltyanskij, Vladimir Grigor’evich 4 Aleksandrov, Pavel Sergeevich 4 Andronov, Aleksandr Aleksandrovich 4 Mishchenko, Aleksandr Sergeevich 2 Arkhangel’skiĭ, Aleksandr Vladimirovich 2 Demushkin, S. P. 2 Faddeev, Dmitriĭ Konstantinovich 2 Hopf, Heinz 2 Kostrikin, Alekseĭ Ivanovich 2 Novikov, Sergeĭ Petrovich 2 Parshin, Alexei N. 2 Rodygin, L. V. 2 Shnirel’man, Lev Genrikhovich 2 Tolstowa, G. 2 Tyurin, Andreĭ Nikolaevich 2 Vitt, Aleksandr Adol’fovich 1 Aĭzerman, Mark Aronovich 1 Arnol’d, Vladimir Igorevich 1 Dezin, Alekseĭ Alekseevich 1 Dmitriev, Vladimir Ivanovich 1 Engel, Wolfgang 1 Frankl, Feliks Isidorovich 1 Glezerman, Mark Efimovich 1 Gordon, Evgeniĭ Izrail’evich 1 Grigorenko, Nikolaĭ Leont’evich 1 Gushchin, Anatoliĭ Konstantinovich 1 Khristianovich, Sergey Alekseyevich 1 Kolmogorov, Andreĭ Nikolaevich 1 Kreĭn, Mark Grigor’evich 1 Lyusternik, Lazar’ Aronovich 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Naĭmark, Mark Aronovich 1 Nikol’skiĭ, Mikhaĭl Sergeevich 1 Ostianu, N. M. 1 Poincaré, Henri 1 Shor, Ya. B. 1 Sobolev, Sergeĭ L’vovich 1 Vladimirov, Vasiliĭ Sergeevich all top 5 Serials 12 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 11 Uspekhi Matematicheskikh Nauk [N. S.] 11 Soviet Mathematics. Doklady 10 Annals of Mathematics. Second Series 9 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 8 Recueil Mathématique. Nouvelle Série 6 Translations. Series 2. American Mathematical Society 5 Russian Mathematical Surveys 5 Mathematische Annalen 5 Proceedings of the Steklov Institute of Mathematics 4 Doklady Akademii Nauk SSSR 4 Matematicheskiĭ Sbornik. Novaya Seriya 4 Physikalische Zeitschrift der Sowjetunion 4 Classics of Soviet Mathematics 3 Doklady Akademii Nauk SSSR. Novaya Seriya 3 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 3 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Commentarii Mathematici Helvetici 2 Compositio Mathematica 2 Differentsial’nye Uravneniya 2 Mathematics of the USSR, Sbornik 2 Uspekhi Matematicheskikh Nauk 1 Applied Mathematics and Optimization 1 Differential Equations 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Pokroky Matematiky, Fyziky & Astronomie 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 SIAM Journal on Control 1 Encyclopaedia of Mathematical Sciences 1 Princeton Mathematical Series 1 Bibliotechka “Kvant” 1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse 1 Hochschulbücher für Mathematik all top 5 Fields 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 History and biography (01-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 14 Topological groups, Lie groups (22-XX) 11 General and overarching topics; collections (00-XX) 11 Algebraic topology (55-XX) 9 Ordinary differential equations (34-XX) 7 General topology (54-XX) 6 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Abstract harmonic analysis (43-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 2,934 times in 2,744 Documents Cited by ▼ Year ▼ The mathematical theory of optimal processes. Authorized translation from the Russian. Translator: K. N. Trirogoff. Editor: L. W. Neustadt. Zbl 0102.32001Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 585 1962 Ordinary differential equations. Translated from the Russian by L.Kacinskas and W.B.Counts. Zbl 0112.05502Pontryagin, L. S. 345 1962 Topological groups. Zbl 0022.17104Pontryagin, L. S. 146 1939 The mathematical theory of optimal processes. (Математическая теория оптимальных процессов) (Mathematische Theorie der optimalen Prozesse.) Zbl 0102.31901Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 120 1961 Topological groups. (Translated by Emma Lehmer). JFM 65.0872.02Pontrjagin, L. 86 1939 The mathematical theory of optimal processes. (Matematicheskaya teoriya optimal’nykh protsessov). 4th ed. Zbl 0516.49001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 85 1983 Linear representations of compact topological groups. JFM 62.0443.02Pontrjagin, L. 68 1936 Hermitian operators in spaces with indefinite metric. Zbl 0061.26004Pontryagin, L. 66 1944 The mathematical theory of optimal processes. Translated from the Russian by D.E.Brown. Zbl 0117.31702Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 65 1964 Linear differential pursuit games. Zbl 0445.90118Pontryagin, L. S. 58 1980 Topological groups. (Continuous groups) 2nd revised and expanded edition. (Непрерывные группы) (Topologische Gruppen.) Zbl 0058.26003Pontryagin, L. S. 49 1954 On the zeros of some elementary transcendental functions. Zbl 0068.05803Pontryagin, L. S. 47 1942 Topologische Gruppen. Teil 2. Zbl 0085.01704Pontrjagin, L. S. 43 1958 Systèmes grossiers. Zbl 0016.11301Andronov, A.; Pontryagin, L. S. 40 1937 The theory of topological commutative groups. JFM 60.0362.02Pontrjagin, L. 38 1934 Ordinary differential equations. (Обыкновенные дифференциальные уравнения.) Zbl 0098.05502Pontryagin, L. S. 37 1961 Linear differential games. II. Zbl 0157.16401Pontryagin, L. S. 37 1967 On the theory of differential games. Zbl 0163.41801Pontryagin, L. S. 34 1966 On zeros of some transcendental functions. Zbl 0063.06306Pontryagin, L. S. 33 1942 Selected scientific works. Vol. I: Topology. Topological algebra. Ed. by R. V. Gamkrelidze. (Избранные научные труды. Том I: Топология. Топологическая алгебра.) Zbl 0646.01021Pontryagin, L. S. 32 1988 On some differential games. Zbl 0144.12603Pontryagin, L. S. 31 1965 Mathematical theory of optimal processes and differential games. Zbl 0616.49001Pontryagin, L. S. 31 1985 Topological groups. 4th ed. (Непрерывные группы.) Zbl 0534.22001Pontryagin, L. S. 27 1984 Smooth manifolds and their applications in homotopy theory. Zbl 0084.19002Pontryagin, L. S. 26 1959 Linear differential games of pursuit. Zbl 0468.90099Pontryagin, L. S. 25 1981 Linear differential games. Zbl 0214.40403Pontryagin, L. S. 25 1967 Ein Knotensatz mit Anwendung auf die Dimensionstheorie. JFM 56.0503.04Frankl, F.; Pontrjagin, L. 24 1930 Linear differential games. Zbl 0285.90090Pontryagin, L. S. 24 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 0659.22001Pontryagin, L. S. 23 1988 Linear differential games. I. Zbl 0157.16304Pontryagin, L. 23 1967 Sur une propriété métrique de la dimension. Zbl 0003.33101Pontrjagin, L.; Schnirelmann, L. 22 1932 Selected works. Vol. 2. Topological groups. Edited and with a preface by R. V. Gamkrelidze. Transl. from the Russian and with a preface by Arlen Brown. With additional material transl. by P. S. V. Naidu. 3rd ed. Zbl 0882.01025Pontryagin, L. S. 22 1986 Optimal regulation processes. Zbl 0098.29403Pontryagin, L. S. 21 1961 Sur une hypothèse fondamentale de la théorie de la dimension. JFM 56.0503.01Pontrjagin, L. 21 1930 Ordinary differential equations. Textbook. (Obyknovennye differentsial’nye uravneniya. Uchebnoe posobie). 5th ed. Zbl 0526.34001Pontryagin, L. S. 21 1982 The linear differential game of evasion. Zbl 0238.90087Pontryagin, L. S. 21 1970 Über stetige algebraische Körper. Zbl 0003.07802Pontrjagin, L. 20 1932 A classification of mappings of the three-dimensional complex into the two-dimensional sphere. JFM 67.0736.01Pontrjagin, L. 19 1941 Systèmes grossiers. JFM 63.0728.01Andronov, A.; Pontrjagin, L. 19 1937 Sur une propriété métrique de la dimension. JFM 58.0627.01Pontrjagin, L.; Schnirelmann, L. 18 1932 Linear differential games. Zbl 0189.46602Mishchenko, E. F.; Pontryagin, L. S. 17 1967 On Betti numbers of compact Lie’s groups. JFM 61.1217.01Pontriagin, L. 17 1935 Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E. 17 1974 On the theory of optimum processes. Zbl 0071.18203Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 16 1956 Das asymptotische Verhalten der Lösungen von Systemen von Differentialgleichungen mit einem kleinen Parameter bei den höchsten Ableitungen. Zbl 0078.08003Pontryagin, L. S. 15 1957 The theory of topological commutative groups. Zbl 0009.15601Pontrjagin, L. 15 1934 Generalizations of numbers. (Obobshcheniya chisel). Zbl 0648.00001Pontryagin, L. S. 15 1986 A problem on the escape of one controlled object from another. Zbl 0277.90109Pontryagin, L. S.; Mishchenko, E. F. 15 1969 Über den algebraischen Inhalt topologischer Dualitätssätze. Zbl 0002.29101Pontrjagin, L. 14 1931 Über Autoschwingungssysteme, die den Hamiltonschen nahe liegen. JFM 61.1478.02Pontrjagin, L. S. 14 1934 Foundations of combinatorial topology. Zbl 0049.39901Pontryagin, L. S. 13 1952 Lerning higher mathematics. The method of coordinates. (Znakomstvo s vysshej matematikoj. Metod koordinat). 2nd rev. ed. Zbl 0629.26002Pontryagin, L. S. 13 1987 Equations différentielles ordinaires. Zbl 0185.15701Pontriaguine, L. 12 1969 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 0882.01027Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 11 1986 The maximum principle in optimal control. (Printsip maksimuma v optimal’nom upravlenii.) Zbl 0707.49005Pontryagin, L. S. 10 1989 Homologies in compact Lie groups. JFM 65.1448.03Pontrjagin, L. 10 1939 Zum Alexanderschen Dualitätssatz. I, II. JFM 54.0608.01Pontrjagin, L. 10 1927 Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives. Zbl 0098.29003Pontryagin, L. S. 9 1961 Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives. Zbl 0096.29502Pontryagin, L. S.; Rodygin, L. V. 8 1960 The theory of optimal processes. I: The maximum principle. Zbl 0098.29404Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 8 1961 Approximate solution of a system of ordinary differential equations involving a small parameter in the derivatives. Zbl 0117.04803Pontryagin, L. S.; Rodygin, L. V. 8 1960 Über Autoschwingungssysteme, die den Hamiltonschen nahe liegen. Zbl 0010.02302Pontryagin, L. S. 8 1934 Problem des Ausweichens einer Begegnung in linearen Differentialspielen. Zbl 0246.90064Pontryagin, L. S.; Mishchenko, E. F. 8 1971 On the evasion process in differential games. Zbl 0296.90057Pontryagin, L. 8 1974 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 0656.01015Pontryagin, L. S. 7 1988 Foundations of combinatorial topology. (Osnovy kombinatornoj topologii). 2nd ed. Zbl 0463.55001Pontryagin, L. S. 7 1976 Foundations of combinatorial topology. 3rd. ed. (Основы комбинаторнои топологии.) Zbl 0681.55001Pontryagin, L. S. 7 1986 Topological groups. I. (Topologische Gruppen. I.) Zbl 0079.03903Pontryagin, L. S. 6 1957 One statistical problem on optimal control. Zbl 0090.30803Mishchenko, E. F.; Pontryagin, L. S. 6 1959 Homologies in compact Lie groups. Zbl 0165.04104Pontryagin, L. S. 6 1939 A classification of mappings of the three-dimensional complex into the two-dimensional sphere. Zbl 0025.09302Pontryagin, L. S. 6 1941 Selected works of L. S. Pontryagin. Edited by M. S. Nikol’skiĭ, N. L. Grigorenko and V. I. Dmitriev. (Избранные труды Л. С. Понтрягина.) Zbl 1200.01049Pontryagin, L. S. 6 2004 Topologische Gruppen. (Nepreryvnye gruppy.) 3. verb. Aufl. Zbl 0265.22001Pontryagin, L. S. 6 1973 Characteristic cycles on manifolds. Zbl 0061.41203Pontryagin, L. S. 5 1942 Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 5 1960 The general topological theorem of duality for closed sets. JFM 60.0531.01Pontrjagin, L. 5 1934 A linear differential evasion game. Zbl 0261.90081Pontryagin, L. S. 5 1973 Classification of some skew products. Zbl 0060.41403Pontryagin, L. S. 4 1945 Grundzüge der kombinatorischen Topologie. Zbl 0071.16103Pontrjagin, L. S. 4 1956 Ableitung einiger asymptotischer Abschätzungen für die Lösungen von Differentialgleichungen mit kleinem Parameter bei den Ableitungen. Zbl 0090.06105Mishchenko, E. F.; Pontryagin, L. S. 4 1959 Beweis des Mengerschen Einbettungssatzes. Zbl 0003.17201Pontrjagin, L.; Tolstowa, G. 4 1931 The general topological theorem of duality for closed sets. Zbl 0010.18004Pontryagin, L. S. 4 1934 Homologies in compact Lie groups. Zbl 0022.31602Pontryagin, L. S. 4 1939 Homotopie-Klassifikation der Abbildungen der \((n+2)\)-dimensionalen Sphäre in die \(n\)-dimensionale. Zbl 0035.11101Pontryagin, L. S. 4 1950 Mappings of the three-dimensional sphere into an \(n\)-dimensional complex. Zbl 0060.41401Pontryagin, L. S. 3 1942 On some topologic invariants of Riemannian manifolds. Zbl 0061.41204Pontryagin, L. S. 3 1944 Les fonctions presque périodiques et l’Analysis situs. Zbl 0006.42801Pontrjagin, L. 3 1933 Sur les nombres de Betti des groupes de Lie. Zbl 0011.10501Pontryagin, L. S. 3 1935 A classification of continuous transformations of a complex into a sphere. II. Zbl 0019.23802Pontryagin, L. S. 3 1938 Sur les nombres de Betti des groupes de Lie. JFM 61.0475.03Pontrjagin, L. 3 1935 Sur les groupes topologiques compacts et le cinquième problème de M. Hilbert. JFM 60.0358.01Pontrjagin, L. 3 1934 Sur les groupes abéliens continus. JFM 60.0362.01Pontrjagin, L. 3 1934 Les jeux différentiels linéaires. (Linear differential games.). Zbl 0227.90059Pontryagin, L. 3 1971 A proof of some asymptotic formulas for solutions of differential equations involving a small parameter. Zbl 0086.07304Mishchenko, E. F.; Pontryagin, L. S. 2 1958 Mathematische Theorie optimaler Prozesse. Zbl 0115.09001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 2 1964 Sur les groupes topologiques compacts et le cinquième problème de M. Hilbert. Zbl 0008.24603Pontrjagin, L. 2 1934 A classification of continuous transformations of a complex into a sphere. I, II. JFM 64.0608.02Pontryagin, L. 2 1938 Über stetige algebraische Körper. JFM 58.0151.03Pontrjagin, L. 2 1932 Selected works. Vol. 3. Algebraic and differential topology. Edited and with a preface by R. V. Gamkrelidze. Transl. from the Russian by P. S. V. Naidu. Zbl 0882.01026Pontryagin, L. S. 2 1986 General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007 1 1990 Selected works of L. S. Pontryagin. Edited by M. S. Nikol’skiĭ, N. L. Grigorenko and V. I. Dmitriev. (Избранные труды Л. С. Понтрягина.) Zbl 1200.01049Pontryagin, L. S. 6 2004 General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007 1 1990 The maximum principle in optimal control. (Printsip maksimuma v optimal’nom upravlenii.) Zbl 0707.49005Pontryagin, L. S. 10 1989 Selected scientific works. Vol. I: Topology. Topological algebra. Ed. by R. V. Gamkrelidze. (Избранные научные труды. Том I: Топология. Топологическая алгебра.) Zbl 0646.01021Pontryagin, L. S. 32 1988 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 0659.22001Pontryagin, L. S. 23 1988 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 0656.01015Pontryagin, L. S. 7 1988 Linear differential games. Zbl 0699.90102Pontryagin, L. S. 1 1988 Lerning higher mathematics. The method of coordinates. (Znakomstvo s vysshej matematikoj. Metod koordinat). 2nd rev. ed. Zbl 0629.26002Pontryagin, L. S. 13 1987 Selected works. Vol. 2. Topological groups. Edited and with a preface by R. V. Gamkrelidze. Transl. from the Russian and with a preface by Arlen Brown. With additional material transl. by P. S. V. Naidu. 3rd ed. Zbl 0882.01025Pontryagin, L. S. 22 1986 Generalizations of numbers. (Obobshcheniya chisel). Zbl 0648.00001Pontryagin, L. S. 15 1986 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 0882.01027Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 11 1986 Foundations of combinatorial topology. 3rd. ed. (Основы комбинаторнои топологии.) Zbl 0681.55001Pontryagin, L. S. 7 1986 Selected works. Vol. 3. Algebraic and differential topology. Edited and with a preface by R. V. Gamkrelidze. Transl. from the Russian by P. S. V. Naidu. Zbl 0882.01026Pontryagin, L. S. 2 1986 Mathematical theory of optimal processes and differential games. Zbl 0616.49001Pontryagin, L. S. 31 1985 Topological groups. 4th ed. (Непрерывные группы.) Zbl 0534.22001Pontryagin, L. S. 27 1984 Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K. 1 1984 The application of combinatorial topology to compact metric spaces. Zbl 0568.55001Pontryagin, L. S. 1 1984 The mathematical theory of optimal processes. (Matematicheskaya teoriya optimal’nykh protsessov). 4th ed. Zbl 0516.49001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 85 1983 Ordinary differential equations. Textbook. (Obyknovennye differentsial’nye uravneniya. Uchebnoe posobie). 5th ed. Zbl 0526.34001Pontryagin, L. S. 21 1982 Linear differential games of pursuit. Zbl 0468.90099Pontryagin, L. S. 25 1981 Linear differential pursuit games. Zbl 0445.90118Pontryagin, L. S. 58 1980 Optimierung und Differentialspiele. Zbl 0406.90097Pontryagin, L. S. 1 1978 A short autobiography of L. S. Pontryagin. Zbl 0426.01013Pontryagin, L. S. 1 1978 Optimization in differential games. Zbl 0439.90116Pontryagin, L. S. 1 1978 Foundations of combinatorial topology. (Osnovy kombinatornoj topologii). 2nd ed. Zbl 0463.55001Pontryagin, L. S. 7 1976 Linear differential games. Zbl 0285.90090Pontryagin, L. S. 24 1974 Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E. 17 1974 On the evasion process in differential games. Zbl 0296.90057Pontryagin, L. 8 1974 Topologische Gruppen. (Nepreryvnye gruppy.) 3. verb. Aufl. Zbl 0265.22001Pontryagin, L. S. 6 1973 A linear differential evasion game. Zbl 0261.90081Pontryagin, L. S. 5 1973 Deviation from coincidencein linear differential games. Zbl 0269.90059Pontryagin, L. S.; Mishchenko, E. F. 1 1973 Problem des Ausweichens einer Begegnung in linearen Differentialspielen. Zbl 0246.90064Pontryagin, L. S.; Mishchenko, E. F. 8 1971 Les jeux différentiels linéaires. (Linear differential games.). Zbl 0227.90059Pontryagin, L. 3 1971 The linear differential game of evasion. Zbl 0238.90087Pontryagin, L. S. 21 1970 A problem on the escape of one controlled object from another. Zbl 0277.90109Pontryagin, L. S.; Mishchenko, E. F. 15 1969 Equations différentielles ordinaires. Zbl 0185.15701Pontriaguine, L. 12 1969 Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 1 1969 Linear differential games. II. Zbl 0157.16401Pontryagin, L. S. 37 1967 Linear differential games. Zbl 0214.40403Pontryagin, L. S. 25 1967 Linear differential games. I. Zbl 0157.16304Pontryagin, L. 23 1967 Linear differential games. Zbl 0189.46602Mishchenko, E. F.; Pontryagin, L. S. 17 1967 On the theory of differential games. Zbl 0163.41801Pontryagin, L. S. 34 1966 On some differential games. Zbl 0144.12603Pontryagin, L. S. 31 1965 Feliks Ruvimovich Gantmakher. Obituary. Zbl 0127.00604Aĭzerman, M. A.; Kreĭn, M. G.; Lyusternik, L. A.; Najmark, M. A.; Pontryagin, L. S.; Sobolev, S. L.; Khristianovich, S. A.; Shor, Ya. B. 1 1965 The mathematical theory of optimal processes. Translated from the Russian by D.E.Brown. Zbl 0117.31702Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 65 1964 Mathematische Theorie optimaler Prozesse. Zbl 0115.09001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 2 1964 Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 1 1964 The mathematical theory of optimal processes. Authorized translation from the Russian. Translator: K. N. Trirogoff. Editor: L. W. Neustadt. Zbl 0102.32001Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 585 1962 Ordinary differential equations. Translated from the Russian by L.Kacinskas and W.B.Counts. Zbl 0112.05502Pontryagin, L. S. 345 1962 A probability problem of optimal control. Zbl 0124.33803Kolmogorov, A. N.; Mishchenko, E. F.; Pontryagin, L. S. 1 1962 The mathematical theory of optimal processes. (Математическая теория оптимальных процессов) (Mathematische Theorie der optimalen Prozesse.) Zbl 0102.31901Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 120 1961 Ordinary differential equations. (Обыкновенные дифференциальные уравнения.) Zbl 0098.05502Pontryagin, L. S. 37 1961 Optimal regulation processes. Zbl 0098.29403Pontryagin, L. S. 21 1961 Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives. Zbl 0098.29003Pontryagin, L. S. 9 1961 The theory of optimal processes. I: The maximum principle. Zbl 0098.29404Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 8 1961 Relaxation oscillations and differential equations containing a small parameter with the senior derivative. Zbl 0100.08601Mishchenko, E. F.; Pontryagin, L. S. 1 1961 Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives. Zbl 0096.29502Pontryagin, L. S.; Rodygin, L. V. 8 1960 Approximate solution of a system of ordinary differential equations involving a small parameter in the derivatives. Zbl 0117.04803Pontryagin, L. S.; Rodygin, L. V. 8 1960 Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 5 1960 Smooth manifolds and their applications in homotopy theory. Zbl 0084.19002Pontryagin, L. S. 26 1959 One statistical problem on optimal control. Zbl 0090.30803Mishchenko, E. F.; Pontryagin, L. S. 6 1959 Ableitung einiger asymptotischer Abschätzungen für die Lösungen von Differentialgleichungen mit kleinem Parameter bei den Ableitungen. Zbl 0090.06105Mishchenko, E. F.; Pontryagin, L. S. 4 1959 Topologische Gruppen. Teil 2. Zbl 0085.01704Pontrjagin, L. S. 43 1958 A proof of some asymptotic formulas for solutions of differential equations involving a small parameter. Zbl 0086.07304Mishchenko, E. F.; Pontryagin, L. S. 2 1958 On the zeros of some transcendental functions. Zbl 0079.10001Pontryagin, L. S. 1 1958 Das asymptotische Verhalten der Lösungen von Systemen von Differentialgleichungen mit einem kleinen Parameter bei den höchsten Ableitungen. Zbl 0078.08003Pontryagin, L. S. 15 1957 Topological groups. I. (Topologische Gruppen. I.) Zbl 0079.03903Pontryagin, L. S. 6 1957 On the theory of optimum processes. Zbl 0071.18203Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 16 1956 Grundzüge der kombinatorischen Topologie. Zbl 0071.16103Pontrjagin, L. S. 4 1956 Glatte Mannigfaltigkeiten und ihre Anwendungen in der Homotopietheorie. Zbl 0064.17402Pontryagin, L. S. 1 1955 Topological groups. (Continuous groups) 2nd revised and expanded edition. (Непрерывные группы) (Topologische Gruppen.) Zbl 0058.26003Pontryagin, L. S. 49 1954 Foundations of combinatorial topology. Zbl 0049.39901Pontryagin, L. S. 13 1952 Homotopie-Klassifikation der Abbildungen der \((n+2)\)-dimensionalen Sphäre in die \(n\)-dimensionale. Zbl 0035.11101Pontryagin, L. S. 4 1950 Die charakteristischen Zyklen differenzierbarer Mannigfaltigkeiten. Zbl 0037.10305Pontryagin, L. S. 1 1947 Classification of some skew products. Zbl 0060.41403Pontryagin, L. S. 4 1945 Hermitian operators in spaces with indefinite metric. Zbl 0061.26004Pontryagin, L. 66 1944 On some topologic invariants of Riemannian manifolds. Zbl 0061.41204Pontryagin, L. S. 3 1944 On the zeros of some elementary transcendental functions. Zbl 0068.05803Pontryagin, L. S. 47 1942 On zeros of some transcendental functions. Zbl 0063.06306Pontryagin, L. S. 33 1942 Characteristic cycles on manifolds. Zbl 0061.41203Pontryagin, L. S. 5 1942 Mappings of the three-dimensional sphere into an \(n\)-dimensional complex. Zbl 0060.41401Pontryagin, L. S. 3 1942 A classification of mappings of the three-dimensional complex into the two-dimensional sphere. JFM 67.0736.01Pontrjagin, L. 19 1941 A classification of mappings of the three-dimensional complex into the two-dimensional sphere. Zbl 0025.09302Pontryagin, L. S. 6 1941 Über die topologische Struktur der Lieschen Gruppen. JFM 67.0749.02Pontrjagin, L. 1 1941 Topological groups. Zbl 0022.17104Pontryagin, L. S. 146 1939 Topological groups. (Translated by Emma Lehmer). JFM 65.0872.02Pontrjagin, L. 86 1939 Homologies in compact Lie groups. JFM 65.1448.03Pontrjagin, L. 10 1939 Homologies in compact Lie groups. Zbl 0165.04104Pontryagin, L. S. 6 1939 Homologies in compact Lie groups. Zbl 0022.31602Pontryagin, L. S. 4 1939 A classification of continuous transformations of a complex into a sphere. II. Zbl 0019.23802Pontryagin, L. S. 3 1938 A classification of continuous transformations of a complex into a sphere. I, II. JFM 64.0608.02Pontryagin, L. 2 1938 A classification of continuous transformations of a complex into a sphere. I. Zbl 0019.08803Pontryagin, L. S. 1 1938 Systèmes grossiers. Zbl 0016.11301Andronov, A.; Pontryagin, L. S. 40 1937 Systèmes grossiers. JFM 63.0728.01Andronov, A.; Pontrjagin, L. 19 1937 Über den Brouwerschen Dimensionsbegriff. Zbl 0016.23005Alexandroff, P.; Hopf, H.; Pontrjagin, L. 1 1937 Linear representations of compact topological groups. JFM 62.0443.02Pontrjagin, L. 68 1936 On Betti numbers of compact Lie’s groups. JFM 61.1217.01Pontriagin, L. 17 1935 Sur les nombres de Betti des groupes de Lie. Zbl 0011.10501Pontryagin, L. S. 3 1935 Sur les nombres de Betti des groupes de Lie. JFM 61.0475.03Pontrjagin, L. 3 1935 On Betti numbers of compact Lie’s groups. Zbl 0011.15301Pontryagin, L. S. 1 1935 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,371 Authors 23 Chikriĭ, Arkadiĭ Alekseevich 22 Ushakov, Vladimir Nikolaevich 20 Sachkov, Yuriĭ Leonidovich 18 Nikol’skiĭ, Mikhaĭl Sergeevich 18 Trélat, Emmanuel 17 Bonnard, Bernard 17 Chentsov, Aleksandr Georgievich 17 Torres, Delfim Fernando Marado 16 Khailov, Evgenii N. 15 Schättler, Heinz Michael 15 Ukhobotov, Viktor Ivanovich 14 Aseev, Sergei M. 13 Arutyunov, Aram Vladimirovic 13 Danilin, Alekseĭ Rufimovich 13 Dikranjan, Dikran N. 13 Petrov, Nikolaĭ Nikandrovich 13 Subbotina, Nina N. 12 Taras’ev, Aleksandr Mikhaĭlovich 11 Karamzin, Dmitry Yu. 11 Orlov, Mikhail V. 11 Patsko, Valerii S. 11 Repovš, Dušan D. 10 Chernous’ko, Feliks Leonidovich 10 Ibragimov, Gafurjan I. 10 Ledzewicz, Urszula 10 Mello, Luis Fernando O. 10 Rachik, Mostafa 10 Tkachenko, Mikhail Gelievich 9 Azamov, Abdulla Azamovich 9 Cahlon, Baruch 9 Dranishnikov, Alexander Nikolaevich 9 Gamkrelidze, Revaz Valerianovich 9 Kalinin, Anatoly I. 9 Krasovskiĭ, Nikolaĭ Nikolaevich 9 Llibre, Jaume 9 Schmidt, Darrell 8 Aoki, Nobuo 8 Ardentov, Andrei A. 8 Giordano Bruno, Anna 8 Grigorenko, Nikolaĭ Leont’evich 8 Kar, Tapan Kumar 8 Salzmann, Helmut R. 8 Samanta, Guru Prasad 7 Bourdin, Loïc 7 de Carvalho Braga, Denis 7 Fernández Martínez, Manuel 7 Jana, Soovoojeet 7 Lobo Pereira, Fernando 7 Mordukhovich, Boris S. 7 Orlov, Sergey M. 6 Agrachev, Andreĭ Aleksandrovich 6 Agusto, Folashade B. 6 Akhmet’ev, Pëtr Mikhaĭlovich 6 Ayala, Victor 6 Bortakovskii, A. S. 6 Chikrii, Greta Ts. 6 Fuller, A. Thomas 6 Grigorieva, Ellina V. 6 Hofmann, Karl Heinrich 6 Ivanov, Grigorii E. 6 Izmest’ev, Igor’ Vyacheslavovich 6 Lenhart, Suzanne M. 6 Levskii, M. V. 6 Mahmudov, Elimhan Nadir 6 Ostapenko, V. V. 6 Petrosyan, Ovanes L. 6 Podobryaev, Alekseĭ V. 6 Rappoport, I. S. 6 Ryan, Eugene P. 6 Shaburov, Aleksandr Aleksandrovich 6 Teo, Kok Lay 6 Yong, Jiongmin 5 Akulenko, Leonid Denisovich 5 Arkhangel’skiĭ, Aleksandr Vladimirovich 5 Barbero-Liñán, María 5 Frankowska, Hélène 5 Galperin, Efim A. 5 Gusyatnikov, P. B. 5 Kiselev, Yuri N. 5 Kovrizhnykh, O. O. 5 Kryazhimskiĭ, Arkadiĭ Viktorovich 5 Kuchkarov, Atamurat Shamuratovich 5 Mardanov, Misir Dzhumail ogly 5 Morzhin, Oleg Vasil’evich 5 Oguztöreli, Mehmet Namik 5 Okosun, Kazeem Oare 5 Reshmin, Sergey A. 5 Shmatkov, A. M. 5 Silva, Cristiana J. 5 Silva, Geraldo Nunes 5 Subbotin, Andreĭ Izmaĭlovich 5 Yavin, Yaakov 4 Almeida, Ricardo 4 Antonyan, Sergey A. 4 Avakov, Evgeniĭ Rachievich 4 Balashov, Maxim Viktorovich 4 Balatif, Omar 4 Banakh, Taras Onufrievich 4 Basin, Michael V. 4 Boscain, Ugo ...and 3,271 more Authors all top 5 Cited in 466 Serials 91 Proceedings of the Steklov Institute of Mathematics 85 Topology and its Applications 81 Journal of Mathematical Sciences (New York) 76 Journal of Mathematical Analysis and Applications 71 Transactions of the American Mathematical Society 58 Differential Equations 55 Journal of Applied Mathematics and Mechanics 54 Journal of Optimization Theory and Applications 52 Automatica 48 Mathematical Notes 48 Proceedings of the American Mathematical Society 46 Automation and Remote Control 43 Journal of Differential Equations 40 International Journal of Control, I. Series 39 International Journal of Control 34 Cybernetics and Systems Analysis 31 Optimal Control Applications & Methods 30 Journal of Computer and Systems Sciences International 28 Ukrainian Mathematical Journal 28 Mathematische Annalen 28 Mathematische Zeitschrift 27 Siberian Mathematical Journal 26 Mathematical Biosciences 25 Journal of the Franklin Institute 25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Bulletin of the American Mathematical Society 22 Journal of Functional Analysis 21 Systems & Control Letters 20 Prikladnaya Matematika i Mekhanika 20 Advances in Mathematics 20 Applied Mathematics and Computation 20 Dynamic Games and Applications 19 Computational Mathematics and Modeling 18 SIAM Journal on Control and Optimization 17 International Journal of Systems Science 17 Chaos, Solitons and Fractals 16 Communications in Mathematical Physics 16 Journal of Computational and Applied Mathematics 15 Journal of Soviet Mathematics 15 Mathematical Problems in Engineering 15 International Journal of Biomathematics 13 Cybernetics 13 Journal of Dynamical and Control Systems 12 Journal of Mathematical Biology 12 Physica A 12 Functional Analysis and its Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Computational Mathematics and Mathematical Physics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 European Journal of Operational Research 11 Russian Mathematics 11 Journal of Biological Systems 10 Computers & Mathematics with Applications 10 Bulletin of Mathematical Biology 10 Archiv der Mathematik 10 Journal of Algebra 10 Journal of Pure and Applied Algebra 10 Moscow University Computational Mathematics and Cybernetics 10 Acta Applicandae Mathematicae 10 Mathematical and Computer Modelling 10 Nonlinear Dynamics 10 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Biological Dynamics 9 Monatshefte für Mathematik 9 Tôhoku Mathematical Journal. Second Series 9 Physica D 9 Linear Algebra and its Applications 9 Discrete and Continuous Dynamical Systems 9 Doklady Mathematics 9 Regular and Chaotic Dynamics 9 Communications in Nonlinear Science and Numerical Simulation 9 Ural Mathematical Journal 8 Israel Journal of Mathematics 8 Theoretical Population Biology 8 Applied Mathematical Modelling 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Calculus of Variations and Partial Differential Equations 8 European Journal of Control 8 Journal of Applied Mathematics 8 Discrete and Continuous Dynamical Systems. Series S 8 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 8 Nonlinear Analysis. Theory, Methods & Applications 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Annales de l’Institut Fourier 7 Metroeconomica 7 Numerical Functional Analysis and Optimization 7 Journal of Dynamics and Differential Equations 7 Sbornik: Mathematics 7 Abstract and Applied Analysis 7 Discrete Dynamics in Nature and Society 7 Journal of Industrial and Management Optimization 7 Optimization Letters 7 Mathematical Modelling of Natural Phenomena 7 Journal of Theoretical Biology 7 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 6 Mathematical Methods in the Applied Sciences 6 Russian Mathematical Surveys 6 Journal of Geometry and Physics 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Czechoslovak Mathematical Journal ...and 366 more Serials all top 5 Cited in 61 Fields 964 Calculus of variations and optimal control; optimization (49-XX) 519 Systems theory; control (93-XX) 397 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 384 Ordinary differential equations (34-XX) 318 Biology and other natural sciences (92-XX) 186 Dynamical systems and ergodic theory (37-XX) 177 Topological groups, Lie groups (22-XX) 147 General topology (54-XX) 142 Mechanics of particles and systems (70-XX) 133 Operations research, mathematical programming (90-XX) 126 Differential geometry (53-XX) 117 Partial differential equations (35-XX) 106 Numerical analysis (65-XX) 88 Manifolds and cell complexes (57-XX) 71 Algebraic topology (55-XX) 70 Operator theory (47-XX) 70 Global analysis, analysis on manifolds (58-XX) 55 Functional analysis (46-XX) 54 Group theory and generalizations (20-XX) 50 Probability theory and stochastic processes (60-XX) 46 Quantum theory (81-XX) 44 Measure and integration (28-XX) 37 Abstract harmonic analysis (43-XX) 35 Real functions (26-XX) 33 Fluid mechanics (76-XX) 31 Mechanics of deformable solids (74-XX) 27 History and biography (01-XX) 26 Mathematical logic and foundations (03-XX) 26 Computer science (68-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Convex and discrete geometry (52-XX) 23 Geometry (51-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Number theory (11-XX) 21 Associative rings and algebras (16-XX) 21 Several complex variables and analytic spaces (32-XX) 19 Algebraic geometry (14-XX) 18 Information and communication theory, circuits (94-XX) 17 General and overarching topics; collections (00-XX) 17 Category theory; homological algebra (18-XX) 17 Integral equations (45-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Functions of a complex variable (30-XX) 16 Approximations and expansions (41-XX) 15 Statistics (62-XX) 13 Nonassociative rings and algebras (17-XX) 12 Relativity and gravitational theory (83-XX) 11 Commutative algebra (13-XX) 9 Field theory and polynomials (12-XX) 9 Difference and functional equations (39-XX) 8 Special functions (33-XX) 7 General algebraic systems (08-XX) 6 Combinatorics (05-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Integral transforms, operational calculus (44-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Geophysics (86-XX) 2 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-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. Updates and corrections should be made in Wikidata.