×

Pontryagin, Lev Semënovich (b. 1908 d. 1988)

Author ID: pontryagin.lev-s Recent zbMATH articles by "Pontryagin, Lev Semënovich"
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.
Further Spellings: Понтрягин Лев Семенович
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
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

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 4,002 times in 3,774 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
Ordinary differential equations. Translated from the Russian by L.Kacinskas and W.B.Counts. Zbl 0112.05502
Pontryagin, L. S.
364
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.
240
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.
177
1964
Topological groups. Zbl 0022.17104
Pontryagin, L. S.
153
1939
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.
145
1983
Systèmes grossiers. Zbl 0016.11301
Andronov, A.; Pontryagin, L. S.
101
1937
Hermitian operators in spaces with indefinite metric. Zbl 0061.26004
Pontryagin, L.
73
1944
Linear differential games. II. Zbl 0157.16401
Pontryagin, L. S.
63
1967
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.
61
1988
Linear differential pursuit games. Zbl 0445.90118
Pontryagin, L. S.
61
1980
On the zeros of some elementary transcendental functions. Zbl 0068.05803
Pontryagin, L. S.
59
1942
On the theory of differential games. Zbl 0163.41801
Pontryagin, L. S.
58
1966
Topological groups. (Continuous groups) 2nd revised and expanded edition. (Непрерывные группы) (Topologische Gruppen.) Zbl 0058.26003
Pontryagin, L. S.
55
1954
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
52
1969
Topologische Gruppen. Teil 2. Zbl 0085.01704
Pontrjagin, L. S.
46
1958
On zeros of some transcendental functions. Zbl 0063.06306
Pontryagin, L. S.
37
1942
Ordinary differential equations. (Обыкновенные дифференциальные уравнения.) Zbl 0098.05502
Pontryagin, L. S.
37
1961
Mathematical theory of optimal processes and differential games. Zbl 0616.49001
Pontryagin, L. S.
36
1985
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
35
1956
Linear differential games of pursuit. Zbl 0468.90099
Pontryagin, L. S.
34
1981
On some differential games. Zbl 0144.12603
Pontryagin, L. S.
32
1965
Ordinary differential equations. Textbook. (Obyknovennye differentsial’nye uravneniya. Uchebnoe posobie). 5th ed. Zbl 0526.34001
Pontryagin, L. S.
31
1982
Linear differential games. I. Zbl 0157.16304
Pontryagin, L.
31
1967
Topological groups. 4th ed. (Непрерывные группы.) Zbl 0534.22001
Pontryagin, L. S.
29
1984
Smooth manifolds and their applications in homotopy theory. Zbl 0084.19002
Pontryagin, L. S.
29
1959
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
29
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.
28
1988
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 0882.01025
Pontryagin, L. S.
28
1986
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
27
1990
Sur une propriété métrique de la dimension. Zbl 0003.33101
Pontrjagin, L.; Schnirelmann, L.
26
1932
Linear differential games. Zbl 0214.40403
Pontryagin, L. S.
25
1967
Linear differential games. Zbl 0285.90090
Pontryagin, L. S.
24
1974
The linear differential game of evasion. Zbl 0238.90087
Pontryagin, L. S.
22
1970
Linear differential games. Zbl 0189.46602
Mishchenko, E. F.; Pontryagin, L. S.
22
1967
Optimal regulation processes. Zbl 0098.29403
Pontryagin, L. S.
22
1961
Über stetige algebraische Körper. Zbl 0003.07802
Pontrjagin, L.
21
1932
The theory of topological commutative groups. Zbl 0009.15601
Pontrjagin, L.
20
1934
Das asymptotische Verhalten der Lösungen von Systemen von Differentialgleichungen mit einem kleinen Parameter bei den höchsten Ableitungen. Zbl 0078.08003
Pontryagin, L. S.
18
1957
Equations différentielles ordinaires. Zbl 0185.15701
Pontriaguine, L.
17
1969
A problem on the escape of one controlled object from another. Zbl 0277.90109
Pontryagin, L. S.; Mishchenko, E. F.
16
1969
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
14
1960
Optimale Regelungsprozesse. Zbl 0089.33401
Pontryagin, L. S.
14
1959
Über den algebraischen Inhalt topologischer Dualitätssätze. Zbl 0002.29101
Pontrjagin, L.
14
1931
Foundations of combinatorial topology. Zbl 0049.39901
Pontryagin, L. S.
14
1952
Problem des Ausweichens einer Begegnung in linearen Differentialspielen. Zbl 0246.90064
Pontryagin, L. S.; Mishchenko, E. F.
13
1971
Lerning higher mathematics. The method of coordinates. (Znakomstvo s vysshej matematikoj. Metod koordinat). 2nd rev. ed. Zbl 0629.26002
Pontryagin, L. S.
13
1987
Generalizations of numbers. (Obobshcheniya chisel). Zbl 0648.00001
Pontryagin, L. S.
13
1986
Die charakteristischen Zyklen differenzierbarer Mannigfaltigkeiten. Zbl 0037.10305
Pontryagin, L. S.
13
1947
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 1200.01049
Pontryagin, L. S.
12
2004
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
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
The maximum principle in optimal control. (Printsip maksimuma v optimal’nom upravlenii.) Zbl 0707.49005
Pontryagin, L. S.
10
1989
Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives. Zbl 0098.29003
Pontryagin, L. S.
10
1961
Approximate solution of a system of ordinary differential equations involving a small parameter in the derivatives. Zbl 0117.04803
Pontryagin, L. S.; Rodygin, L. V.
10
1960
Foundations of combinatorial topology. (Osnovy kombinatornoj topologii). 2nd ed. Zbl 0463.55001
Pontryagin, L. S.
9
1976
Foundations of combinatorial topology. 3rd. ed. (Основы комбинаторнои топологии.) Zbl 0681.55001
Pontryagin, L. S.
9
1986
Topological groups. I. (Topologische Gruppen. I.) Zbl 0079.03903
Pontryagin, L. S.
9
1957
On the evasion process in differential games. Zbl 0296.90057
Pontryagin, L.
8
1974
Über Autoschwingungssysteme, die den Hamiltonschen nahe liegen. Zbl 0010.02302
Pontryagin, L. S.
8
1934
A classification of mappings of the three-dimensional complex into the two-dimensional sphere. Zbl 0025.09302
Pontryagin, L. S.
8
1941
Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives. Zbl 0096.29502
Pontryagin, L. S.; Rodygin, L. V.
8
1960
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
8
1961
Topologische Gruppen. (Nepreryvnye gruppy.) 3. verb. Aufl. Zbl 0265.22001
Pontryagin, L. S.
6
1973
Characteristic cycles on manifolds. Zbl 0061.41203
Pontryagin, L. S.
6
1942
A linear differential evasion game. Zbl 0261.90081
Pontryagin, L. S.
6
1973
Mathematische Theorie optimaler Prozesse. Zbl 0115.09001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
6
1964
Classification of some skew products. Zbl 0060.41403
Pontryagin, L. S.
5
1945
Periodische Lösungen von Differentialgleichungssystemen, die zu unstetigen Lösungen benachbart sind. Zbl 0064.33902
Mishchenko, E. F.; Pontryagin, L. S.
5
1955
Homologies in compact Lie groups. Zbl 0165.04104
Pontryagin, L. S.
5
1939
One statistical problem on optimal control. Zbl 0090.30803
Mishchenko, E. F.; Pontryagin, L. S.
5
1959
Homologies in compact Lie groups. Zbl 0022.31602
Pontryagin, L. S.
5
1939
Homotopie-Klassifikation der Abbildungen der \((n+2)\)-dimensionalen Sphäre in die \(n\)-dimensionale. Zbl 0035.11101
Pontryagin, L. S.
5
1950
Mappings of the three-dimensional sphere into an \(n\)-dimensional complex. Zbl 0060.41401
Pontryagin, L. S.
5
1942
Beweis des Mengerschen Einbettungssatzes. Zbl 0003.17201
Pontrjagin, L.; Tolstowa, G.
4
1931
Grundzüge der kombinatorischen Topologie. Zbl 0071.16103
Pontrjagin, L. S.
4
1956
Ableitung einiger asymptotischer Abschätzungen für die Lösungen von Differentialgleichungen mit kleinem Parameter bei den Ableitungen. Zbl 0090.06105
Mishchenko, E. F.; Pontryagin, L. S.
4
1959
The general topological theorem of duality for closed sets. Zbl 0010.18004
Pontryagin, L. S.
4
1934
Les jeux différentiels linéaires. (Linear differential games.). Zbl 0227.90059
Pontryagin, L.
4
1971
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 0882.01026
Pontryagin, L. S.
3
1986
Sur les groupes topologiques compacts et le cinquième problème de M. Hilbert. Zbl 0008.24603
Pontrjagin, L.
3
1934
Sur les nombres de Betti des groupes de Lie. Zbl 0011.10501
Pontryagin, L. S.
3
1935
A classification of continuous transformations of a complex into a sphere. I. Zbl 0019.08803
Pontryagin, L. S.
3
1938
A classification of continuous transformations of a complex into a sphere. II. Zbl 0019.23802
Pontryagin, L. S.
3
1938
On some topologic invariants of Riemannian manifolds. Zbl 0061.41204
Pontryagin, L. S.
3
1944
Gewöhnliche Differentialgleichungen. Zbl 0134.30201
Pontryagin, L. S.
3
1965
Les fonctions presque périodiques et l’Analysis situs. Zbl 0006.42801
Pontrjagin, L.
3
1933
Mathematische Theorie optimaler Prozesse. Aus dem Russischen übersetzt von W.Hahn und R.Herschel. 2., verb. Aufl. Zbl 0148.07504
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1967
Intersections in manifolds. Zbl 1446.57023
Glezerman, M. E.; Pontryagin, L. S.
3
1947
A short autobiography of L. S. Pontryagin. Zbl 0426.01013
Pontryagin, L. S.
2
1978
Ein lineares Differentialspiel des Entkommens. Zbl 0239.90051
Pontryagin, L. S.
2
1971
Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
2
1964
A proof of some asymptotic formulas for solutions of differential equations involving a small parameter. Zbl 0086.07304
Mishchenko, E. F.; Pontryagin, L. S.
2
1958
A probability problem of optimal control. Zbl 0124.33803
Kolmogorov, A. N.; Mishchenko, E. F.; Pontryagin, L. S.
2
1962
Relaxation oscillations and differential equations containing a small parameter with the senior derivative. Zbl 0100.08601
Mishchenko, E. F.; Pontryagin, L. S.
2
1961
Optimal control processes. (Optimale Regelungsprozesse.) Zbl 0119.30802
Pontryagin, L. S.
2
1959
On some differential games. Zbl 0151.25501
Pontryagin, L. S.
2
1964
The application of combinatorial topology to compact metric spaces. Zbl 0568.55001
Pontryagin, L. S.
1
1984
Optimization in differential games. Zbl 0439.90116
Pontryagin, L. S.
1
1978
Deviation from coincidencein linear differential games. Zbl 0269.90059
Pontryagin, L. S.; Mishchenko, E. F.
1
1973
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 1200.01049
Pontryagin, L. S.
12
2004
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
27
1990
The maximum principle in optimal control. (Printsip maksimuma v optimal’nom upravlenii.) Zbl 0707.49005
Pontryagin, 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 0646.01021
Pontryagin, L. S.
61
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 0659.22001
Pontryagin, L. S.
28
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 0656.01015
Pontryagin, L. S.
10
1988
Linear differential games. Zbl 0699.90102
Pontryagin, L. S.
1
1988
Lerning higher mathematics. The method of coordinates. (Znakomstvo s vysshej matematikoj. Metod koordinat). 2nd rev. ed. Zbl 0629.26002
Pontryagin, 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 0882.01025
Pontryagin, L. S.
28
1986
Generalizations of numbers. (Obobshcheniya chisel). Zbl 0648.00001
Pontryagin, L. S.
13
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 0882.01027
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
11
1986
Foundations of combinatorial topology. 3rd. ed. (Основы комбинаторнои топологии.) Zbl 0681.55001
Pontryagin, L. S.
9
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 0882.01026
Pontryagin, L. S.
3
1986
Mathematical theory of optimal processes and differential games. Zbl 0616.49001
Pontryagin, L. S.
36
1985
Topological groups. 4th ed. (Непрерывные группы.) Zbl 0534.22001
Pontryagin, L. S.
29
1984
The application of combinatorial topology to compact metric spaces. Zbl 0568.55001
Pontryagin, L. S.
1
1984
Igor’ Rostislavovich Shafarevich (on his sixtieth birthday). Zbl 0553.01024
Demushkin, S. P.; Kostrikin, A. I.; Novikov, S. P.; Parshin, A. N.; Pontryagin, L. S.; Tyurin, A. N.; Faddeev, D. K.
1
1984
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.
145
1983
Ordinary differential equations. Textbook. (Obyknovennye differentsial’nye uravneniya. Uchebnoe posobie). 5th ed. Zbl 0526.34001
Pontryagin, L. S.
31
1982
Linear differential games of pursuit. Zbl 0468.90099
Pontryagin, L. S.
34
1981
Linear differential pursuit games. Zbl 0445.90118
Pontryagin, L. S.
61
1980
A short autobiography of L. S. Pontryagin. Zbl 0426.01013
Pontryagin, L. S.
2
1978
Optimization in differential games. Zbl 0439.90116
Pontryagin, L. S.
1
1978
Optimierung und Differentialspiele. Zbl 0406.90097
Pontryagin, L. S.
1
1978
Foundations of combinatorial topology. (Osnovy kombinatornoj topologii). 2nd ed. Zbl 0463.55001
Pontryagin, L. S.
9
1976
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
29
1974
Linear differential games. Zbl 0285.90090
Pontryagin, L. S.
24
1974
On the evasion process in differential games. Zbl 0296.90057
Pontryagin, L.
8
1974
Topologische Gruppen. (Nepreryvnye gruppy.) 3. verb. Aufl. Zbl 0265.22001
Pontryagin, L. S.
6
1973
A linear differential evasion game. Zbl 0261.90081
Pontryagin, L. S.
6
1973
Deviation from coincidencein linear differential games. Zbl 0269.90059
Pontryagin, L. S.; Mishchenko, E. F.
1
1973
Problem des Ausweichens einer Begegnung in linearen Differentialspielen. Zbl 0246.90064
Pontryagin, L. S.; Mishchenko, E. F.
13
1971
Les jeux différentiels linéaires. (Linear differential games.). Zbl 0227.90059
Pontryagin, L.
4
1971
Ein lineares Differentialspiel des Entkommens. Zbl 0239.90051
Pontryagin, L. S.
2
1971
The linear differential game of evasion. Zbl 0238.90087
Pontryagin, L. S.
22
1970
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
52
1969
Equations différentielles ordinaires. Zbl 0185.15701
Pontriaguine, L.
17
1969
A problem on the escape of one controlled object from another. Zbl 0277.90109
Pontryagin, L. S.; Mishchenko, E. F.
16
1969
Linear differential games. II. Zbl 0157.16401
Pontryagin, L. S.
63
1967
Linear differential games. I. Zbl 0157.16304
Pontryagin, L.
31
1967
Linear differential games. Zbl 0214.40403
Pontryagin, L. S.
25
1967
Linear differential games. Zbl 0189.46602
Mishchenko, E. F.; Pontryagin, L. S.
22
1967
Mathematische Theorie optimaler Prozesse. Aus dem Russischen übersetzt von W.Hahn und R.Herschel. 2., verb. Aufl. Zbl 0148.07504
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1967
On the theory of differential games. Zbl 0163.41801
Pontryagin, L. S.
58
1966
On some differential games. Zbl 0144.12603
Pontryagin, L. S.
32
1965
Gewöhnliche Differentialgleichungen. Zbl 0134.30201
Pontryagin, L. S.
3
1965
Feliks Ruvimovich Gantmakher. Obituary. Zbl 0127.00604
Aĭzerman, 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 0117.31702
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
177
1964
Mathematische Theorie optimaler Prozesse. Zbl 0115.09001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
6
1964
Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
2
1964
On some differential games. Zbl 0151.25501
Pontryagin, L. S.
2
1964
Mathematische Theorie der optimalen Prozesse. Zbl 0207.46107
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1963
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
Ordinary differential equations. Translated from the Russian by L.Kacinskas and W.B.Counts. Zbl 0112.05502
Pontryagin, L. S.
364
1962
A probability problem of optimal control. Zbl 0124.33803
Kolmogorov, A. N.; Mishchenko, E. F.; Pontryagin, L. S.
2
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.
240
1961
Ordinary differential equations. (Обыкновенные дифференциальные уравнения.) Zbl 0098.05502
Pontryagin, L. S.
37
1961
Optimal regulation processes. Zbl 0098.29403
Pontryagin, L. S.
22
1961
Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives. Zbl 0098.29003
Pontryagin, L. S.
10
1961
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
8
1961
Relaxation oscillations and differential equations containing a small parameter with the senior derivative. Zbl 0100.08601
Mishchenko, E. F.; Pontryagin, L. S.
2
1961
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
14
1960
Approximate solution of a system of ordinary differential equations involving a small parameter in the derivatives. Zbl 0117.04803
Pontryagin, L. S.; Rodygin, L. V.
10
1960
Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives. Zbl 0096.29502
Pontryagin, L. S.; Rodygin, L. V.
8
1960
Smooth manifolds and their applications in homotopy theory. Zbl 0084.19002
Pontryagin, L. S.
29
1959
Optimale Regelungsprozesse. Zbl 0089.33401
Pontryagin, L. S.
14
1959
One statistical problem on optimal control. Zbl 0090.30803
Mishchenko, E. F.; Pontryagin, L. S.
5
1959
Ableitung einiger asymptotischer Abschätzungen für die Lösungen von Differentialgleichungen mit kleinem Parameter bei den Ableitungen. Zbl 0090.06105
Mishchenko, E. F.; Pontryagin, L. S.
4
1959
Optimal control processes. (Optimale Regelungsprozesse.) Zbl 0119.30802
Pontryagin, L. S.
2
1959
Topologische Gruppen. Teil 2. Zbl 0085.01704
Pontrjagin, L. S.
46
1958
A proof of some asymptotic formulas for solutions of differential equations involving a small parameter. Zbl 0086.07304
Mishchenko, E. F.; Pontryagin, L. S.
2
1958
On the zeros of some transcendental functions. Zbl 0079.10001
Pontryagin, L. S.
1
1958
Das asymptotische Verhalten der Lösungen von Systemen von Differentialgleichungen mit einem kleinen Parameter bei den höchsten Ableitungen. Zbl 0078.08003
Pontryagin, L. S.
18
1957
Topological groups. I. (Topologische Gruppen. I.) Zbl 0079.03903
Pontryagin, L. S.
9
1957
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
35
1956
Grundzüge der kombinatorischen Topologie. Zbl 0071.16103
Pontrjagin, L. S.
4
1956
Periodische Lösungen von Differentialgleichungssystemen, die zu unstetigen Lösungen benachbart sind. Zbl 0064.33902
Mishchenko, E. F.; Pontryagin, L. S.
5
1955
Glatte Mannigfaltigkeiten und ihre Anwendungen in der Homotopietheorie. Zbl 0064.17402
Pontryagin, L. S.
1
1955
Topological groups. (Continuous groups) 2nd revised and expanded edition. (Непрерывные группы) (Topologische Gruppen.) Zbl 0058.26003
Pontryagin, L. S.
55
1954
Foundations of combinatorial topology. Zbl 0049.39901
Pontryagin, L. S.
14
1952
Homotopie-Klassifikation der Abbildungen der \((n+2)\)-dimensionalen Sphäre in die \(n\)-dimensionale. Zbl 0035.11101
Pontryagin, L. S.
5
1950
Über einen Zusammenhang zwischen Homologien und Homotopien. Zbl 0041.31903
Pontryagin, L. S.
1
1949
Die charakteristischen Zyklen differenzierbarer Mannigfaltigkeiten. Zbl 0037.10305
Pontryagin, L. S.
13
1947
Intersections in manifolds. Zbl 1446.57023
Glezerman, M. E.; Pontryagin, L. S.
3
1947
Classification of some skew products. Zbl 0060.41403
Pontryagin, L. S.
5
1945
Hermitian operators in spaces with indefinite metric. Zbl 0061.26004
Pontryagin, L.
73
1944
On some topologic invariants of Riemannian manifolds. Zbl 0061.41204
Pontryagin, L. S.
3
1944
On the zeros of some elementary transcendental functions. Zbl 0068.05803
Pontryagin, L. S.
59
1942
On zeros of some transcendental functions. Zbl 0063.06306
Pontryagin, L. S.
37
1942
Characteristic cycles on manifolds. Zbl 0061.41203
Pontryagin, L. S.
6
1942
Mappings of the three-dimensional sphere into an \(n\)-dimensional complex. Zbl 0060.41401
Pontryagin, L. S.
5
1942
A classification of mappings of the three-dimensional complex into the two-dimensional sphere. Zbl 0025.09302
Pontryagin, L. S.
8
1941
Topological groups. Zbl 0022.17104
Pontryagin, L. S.
153
1939
Homologies in compact Lie groups. Zbl 0165.04104
Pontryagin, L. S.
5
1939
Homologies in compact Lie groups. Zbl 0022.31602
Pontryagin, L. S.
5
1939
A classification of continuous transformations of a complex into a sphere. I. Zbl 0019.08803
Pontryagin, L. S.
3
1938
A classification of continuous transformations of a complex into a sphere. II. Zbl 0019.23802
Pontryagin, L. S.
3
1938
Systèmes grossiers. Zbl 0016.11301
Andronov, A.; Pontryagin, L. S.
101
1937
Über den Brouwerschen Dimensionsbegriff. Zbl 0016.23005
Alexandroff, P.; Hopf, H.; Pontrjagin, L.
1
1937
Sur les nombres de Betti des groupes de Lie. Zbl 0011.10501
Pontryagin, L. S.
3
1935
...and 11 more Documents
all top 5

Cited by 4,580 Authors

30 Chikriĭ, Arkadiĭ Alekseevich
28 Trélat, Emmanuel
28 Ushakov, Vladimir Nikolaevich
27 Bonnard, Bernard
27 Torres, Delfim Fernando Marado
26 Sachkov, Yuriĭ Leonidovich
26 Schättler, Heinz Michael
22 Ledzewicz, Urszula
22 Taras’ev, Aleksandr Mikhaĭlovich
21 Kar, Tapan Kumar
21 Karamzin, Dmitry Yu.
21 Nikol’skiĭ, Mikhaĭl Sergeevich
20 Chentsov, Aleksandr Georgievich
20 Danilin, Alekseĭ Rufimovich
20 Khailov, Evgenii N.
20 Krasovskiĭ, Nikolaĭ Nikolaevich
20 Petrov, Nikolaĭ Nikandrovich
19 Aseev, Sergei M.
17 Arutyunov, Aram Vladimirovic
17 Kalinin, Anatoliĭ Iosifovich
17 Rachik, Mostafa
17 Samanta, Guru Prasad
17 Ukhobotov, Viktor Ivanovich
16 Ibragimov, Gafurjan I.
16 Subbotina, Nina N.
15 Bortakovskii, A. S.
15 Grigorenko, Nikolaĭ Leont’evich
15 Jana, Soovoojeet
15 Patsko, Valerii S.
14 Akulenko, Leonid Denisovich
14 Chernous’ko, Feliks Leonidovich
14 Levskii, M. V.
14 Orlov, Mikhail V.
13 Lobo Pereira, Fernando
13 Maurer, Helmut
13 Pochinka, Ol’ga Vital’evna
12 Azamov, Abdulla Azamovich
12 Dikranjan, Dikran N.
12 Lenhart, Suzanne M.
12 Mahmudov, Elimhan Nadir
12 Orlov, Sergey M.
12 Shamolin, Maksim Vladimirovich
12 Silva, Cristiana J.
11 Mardanov, Misir Dzhumail ogly
11 Molodenkov, Alekseĭ Vladimirovich
11 Mushayabasa, Steady
11 Rappoport, I. S.
11 Xu, Xu
10 Bourdin, Loïc
10 Cahlon, Baruch
10 Mello, Luis Fernando O.
10 Mordukhovich, Boris S.
10 Sapunkov, Yakov Grigor’evich
10 Schmidt, Darrell
9 Bayen, Térence
9 Cots, Olivier
9 Dmitruk, Andrei V.
9 Frankowska, Hélène
9 Gamkrelidze, Revaz Valerianovich
9 Kiselev, Yuri N.
9 Okosun, Kazeem Oare
9 Pal, Debkumar
9 Shaburov, Aleksandr Aleksandrovich
9 Tkachenko, Mikhail Gelievich
9 Yong, Jiongmin
8 Agrachev, Andreĭ Aleksandrovich
8 Balatif, Omar
8 Berestovskiĭ, Valeriĭ Nikolaevich
8 Cherkasov, Oleg Yur’evich
8 Chikrii, Greta Ts.
8 Giordano Bruno, Anna
8 Glizer, Valery Y.
8 Grines, Vyacheslav Zigmundovich
8 Izmest’ev, Igor’ Vyacheslavovich
8 Kovrizhnykh, Ol’ga Olegovna
8 Lavrinovich, Leonid Ivanovich
8 Malik, Samin T.
8 Osmolovskiĭ, Nikolaĭ Pavlovich
8 Petrosyan, Ovanes L.
8 Podobryaev, Alekseĭ V.
8 Rouot, Jérémy
8 Rozov, Nikolaĭ Khristovich
8 Shmatkov, Anton M.
7 Agusto, Folashade B.
7 Avvakumov, S. N.
7 Ayala, Victor
7 Buonomo, Bruno
7 Chyba, Monique
7 de Carvalho Braga, Denis
7 de Pinho, Maria do Rosário
7 Galperin, Efim A.
7 Ge, Huabin
7 Grigorieva, Ellina V.
7 Hammer, Jacob
7 Kruglov, Vladislav Evgen’evich
7 Luk’yanova, L. N.
7 Mahapatra, Ghanshaym Singha
7 Makinde, Oluwole Daniel
7 Morzhin, Oleg Vasil’evich
7 Pechen, Alexander Nikolaevich
...and 4,480 more Authors
all top 5

Cited in 552 Serials

109 Journal of Mathematical Sciences (New York)
108 Journal of Applied Mathematics and Mechanics
104 Journal of Mathematical Analysis and Applications
104 Proceedings of the Steklov Institute of Mathematics
87 Journal of Optimization Theory and Applications
82 Automatica
72 Differential Equations
71 Topology and its Applications
69 Journal of Computer and Systems Sciences International
63 Automation and Remote Control
56 International Journal of Control
50 Mathematical Notes
48 Cybernetics and Systems Analysis
47 Journal of Differential Equations
41 Mathematical Biosciences
41 Transactions of the American Mathematical Society
39 Computational Mathematics and Modeling
39 International Journal of Control, I. Series
35 Journal of the Franklin Institute
35 SIAM Journal on Control and Optimization
35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
34 Optimal Control Applications & Methods
32 Systems & Control Letters
31 Journal of Dynamical and Control Systems
30 Ukrainian Mathematical Journal
30 Applied Mathematics and Computation
30 International Journal of Biomathematics
29 Siberian Mathematical Journal
28 Journal of Mathematical Biology
27 Journal of Computational and Applied Mathematics
27 PMM, Journal of Applied Mathematics and Mechanics
26 Chaos, Solitons and Fractals
26 Prikladnaya Matematika i Mekhanika
25 Mathematical Biosciences and Engineering
23 Dynamic Games and Applications
22 Mathematical Problems in Engineering
21 Journal of Functional Analysis
21 Proceedings of the American Mathematical Society
21 Doklady Mathematics
20 Applied Mathematical Modelling
20 European Journal of Operational Research
20 Nonlinear Dynamics
20 Journal of Biological Systems
19 Mathematische Annalen
19 Mathematische Zeitschrift
18 Computers & Mathematics with Applications
18 Computational Mathematics and Mathematical Physics
18 Journal of Theoretical Biology
17 International Journal of Systems Science
17 Bulletin of Mathematical Biology
17 Advances in Mathematics
17 Mathematical and Computer Modelling
16 Physica A
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 European Journal of Control
16 Journal of Industrial and Management Optimization
16 Journal of Biological Dynamics
16 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
15 Communications in Nonlinear Science and Numerical Simulation
15 Discrete and Continuous Dynamical Systems. Series B
14 Moscow University Computational Mathematics and Cybernetics
14 Discrete Dynamics in Nature and Society
14 Journal of Applied Mathematics
13 Mathematical Methods in the Applied Sciences
13 Applied Mathematics and Optimization
13 Journal of Soviet Mathematics
13 Cybernetics
13 Physica D
13 Russian Mathematics
13 Discrete and Continuous Dynamical Systems
13 Bulletin of the American Mathematical Society
12 Functional Analysis and its Applications
12 Journal of Economic Dynamics & Control
12 Abstract and Applied Analysis
12 Journal of Applied Mathematics and Computing
12 Mathematical Control and Related Fields
12 Nonlinear Analysis. Theory, Methods & Applications
11 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
11 Journal of Pure and Applied Algebra
11 Mathematics and Computers in Simulation
11 Theoretical Population Biology
11 Acta Applicandae Mathematicae
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Sbornik: Mathematics
11 Differential Equations and Dynamical Systems
11 Nonlinear Analysis. Real World Applications
11 Optimization Letters
11 Computational & Mathematical Methods in Medicine
11 Numerical Algebra, Control and Optimization
11 International Journal of Applied and Computational Mathematics
10 Russian Mathematical Surveys
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Optimization
10 MCSS. Mathematics of Control, Signals, and Systems
10 Linear Algebra and its Applications
10 Calculus of Variations and Partial Differential Equations
10 Computational and Applied Mathematics
10 Advances in Difference Equations
10 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
10 Ural Mathematical Journal
...and 452 more Serials
all top 5

Cited in 62 Fields

1,644 Calculus of variations and optimal control; optimization (49-XX)
821 Systems theory; control (93-XX)
603 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
599 Biology and other natural sciences (92-XX)
561 Ordinary differential equations (34-XX)
259 Dynamical systems and ergodic theory (37-XX)
248 Mechanics of particles and systems (70-XX)
231 Operations research, mathematical programming (90-XX)
169 Partial differential equations (35-XX)
166 Numerical analysis (65-XX)
158 Topological groups, Lie groups (22-XX)
158 Differential geometry (53-XX)
119 General topology (54-XX)
81 Operator theory (47-XX)
81 Probability theory and stochastic processes (60-XX)
79 Global analysis, analysis on manifolds (58-XX)
72 Manifolds and cell complexes (57-XX)
69 Algebraic topology (55-XX)
65 Functional analysis (46-XX)
56 Quantum theory (81-XX)
54 Real functions (26-XX)
45 Computer science (68-XX)
44 Group theory and generalizations (20-XX)
41 Mechanics of deformable solids (74-XX)
40 Fluid mechanics (76-XX)
34 Measure and integration (28-XX)
34 Statistical mechanics, structure of matter (82-XX)
33 History and biography (01-XX)
33 Convex and discrete geometry (52-XX)
31 Abstract harmonic analysis (43-XX)
26 Statistics (62-XX)
24 Mathematical logic and foundations (03-XX)
24 Functions of a complex variable (30-XX)
24 Integral equations (45-XX)
24 Information and communication theory, circuits (94-XX)
21 Geometry (51-XX)
20 Number theory (11-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
18 Difference and functional equations (39-XX)
17 General and overarching topics; collections (00-XX)
17 Algebraic geometry (14-XX)
16 Associative rings and algebras (16-XX)
16 Category theory; homological algebra (18-XX)
16 Approximations and expansions (41-XX)
16 Relativity and gravitational theory (83-XX)
14 Several complex variables and analytic spaces (32-XX)
12 Nonassociative rings and algebras (17-XX)
10 Combinatorics (05-XX)
9 Special functions (33-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Commutative algebra (13-XX)
8 Optics, electromagnetic theory (78-XX)
7 Field theory and polynomials (12-XX)
7 Geophysics (86-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 General algebraic systems (08-XX)
4 \(K\)-theory (19-XX)
4 Integral transforms, operational calculus (44-XX)
3 Sequences, series, summability (40-XX)
1 Potential theory (31-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.