×

zbMATH — the first resource for mathematics

Pontryagin, Lev Semënovich

Compute Distance To:
Author ID: pontryagin.lev-s Recent zbMATH articles by "Pontryagin, Lev Semënovich"
Published as: Pontriagin, L.; Pontriaguine, L.; Pontriaguine, Lev Semenovitch; Pontrjagin, L.; Pontrjagin, L. S.; Pontrjagin, Leon; Pontrjagin. L.; Pontryagin, L.; Pontryagin, L. S.; Pontryagin, Lev S.
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Documents Indexed: 194 Publications since 1927, including 50 Books
Biographic References: 37 Publications
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
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 SIAM Journal on Control
1 Encyclopaedia of Mathematical Sciences
1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control
1 Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen. Mathematisch-Physikalische Klasse

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 2,803 times in 2,586 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.
491
1962
Ordinary differential equations. Translated from the Russian by L.Kacinskas and W.B.Counts. Zbl 0112.05502
Pontryagin, L. S.
345
1962
Topological groups. Zbl 0022.17104
Pontryagin, L. S.
155
1939
Topological groups. (Translated by Emma Lehmer). JFM 65.0872.02
Pontrjagin, L.
86
1939
The mathematical theory of optimal processes. Zbl 0102.31901
Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
83
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.
78
1983
Linear representations of compact topological groups. JFM 62.0443.02
Pontrjagin, L.
74
1936
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.
67
1964
On Betti numbers of compact Lie’s groups. JFM 61.1217.01
Pontriagin, L.
66
1935
Hermitian operators in spaces with indefinite metric. Zbl 0061.26004
Pontryagin, L.
57
1944
Linear differential pursuit games. Zbl 0445.90118
Pontryagin, L. S.
56
1980
Topological groups. 2nd revised and expanded edition. Zbl 0058.26003
Pontryagin, L. S.
50
1954
On the zeros of some elementary transcendental functions. Zbl 0068.05803
Pontryagin, L. S.
45
1942
Topologische Gruppen. Teil 2. Zbl 0085.01704
Pontrjagin, L. S.
43
1958
Ordinary differential equations. (Obyknovennye differentsial’nye uravneniya). Zbl 0098.05502
Pontryagin, L. S.
37
1961
The theory of topological commutative groups. JFM 60.0362.02
Pontrjagin, L.
37
1934
Systèmes grossiers. Zbl 0016.11301
Andronov, A.; Pontryagin, L. S.
36
1937
On the theory of differential games. Zbl 0163.41801
Pontryagin, L. S.
33
1966
On zeros of some transcendental functions. Zbl 0063.06306
Pontryagin, L. S.
32
1942
On some differential games. Zbl 0144.12603
Pontryagin, L. S.
31
1965
Linear differential games. II. Zbl 0157.16401
Pontryagin, L. S.
28
1967
Mathematical theory of optimal processes and differential games. Zbl 0616.49001
Pontryagin, L. S.
26
1985
Topological groups. 4th ed. Zbl 0534.22001
Pontryagin, L. S.
26
1984
Sur une propriété métrique de la dimension. Zbl 0003.33101
Pontrjagin, L.; Schnirelmann, L.
25
1932
Linear differential games. Zbl 0214.40403
Pontryagin, L. S.
24
1967
Selected scientific works. Vol. I: Topology. Topological algebra. (Izbrannye nauchnye trudy. Tom I: Topologiya. Topologicheskaya algebra). Ed. by R. V. Gamkrelidze. Zbl 0646.01021
Pontryagin, L. S.
23
1988
Linear differential games. Zbl 0285.90090
Pontryagin, L. S.
23
1974
Smooth manifolds and their applications in homotopy theory. Zbl 0084.19002
Pontryagin, L. S.
23
1959
Selected scientific works. Vol. III: Continuous groups. (Izbrannye nauchnye trudy. Tom 3: Nepreryvnye gruppy). Ed. by R. V. Gamkrelidze. Zbl 0659.22001
Pontryagin, L. S.
21
1988
Ordinary differential equations. Textbook. (Obyknovennye differentsial’nye uravneniya. Uchebnoe posobie). 5th ed. Zbl 0526.34001
Pontryagin, L. S.
21
1982
The linear differential game of evasion. Zbl 0238.90087
Pontryagin, L. S.
21
1970
Optimal regulation processes. Zbl 0098.29403
Pontryagin, L. S.
21
1961
Über stetige algebraische Körper. Zbl 0003.07802
Pontrjagin, L.
21
1932
Sur une hypothèse fondamentale de la théorie de la dimension. JFM 56.0503.01
Pontrjagin, L.
21
1930
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.
20
1986
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
20
1974
Linear differential games. I. Zbl 0157.16304
Pontryagin, L.
20
1967
Ein Knotensatz mit Anwendung auf die Dimensionstheorie. JFM 56.0503.04
Frankl, F.; Pontrjagin, L.
19
1930
A classification of mappings of the three-dimensional complex into the two-dimensional sphere. JFM 67.0736.01
Pontrjagin, L.
18
1941
A problem on the escape of one controlled object from another. Zbl 0277.90109
Pontryagin, L. S.; Mishchenko, E. F.
17
1969
Linear differential games. Zbl 0189.46602
Mishchenko, E. F.; Pontryagin, L. S.
17
1967
Systèmes grossiers. JFM 63.0728.01
Andronov, A.; Pontrjagin, L.
17
1937
The theory of topological commutative groups. Zbl 0009.15601
Pontrjagin, L.
17
1934
Lerning higher mathematics. The method of coordinates. (Znakomstvo s vysshej matematikoj. Metod koordinat). 2nd rev. ed. Zbl 0629.26002
Pontryagin, L. S.
16
1987
Sur une propriété métrique de la dimension. JFM 58.0627.01
Pontrjagin, L.; Schnirelmann, L.
16
1932
Generalizations of numbers. (Obobshcheniya chisel). Zbl 0648.00001
Pontryagin, L. S.
15
1986
Linear differential games of pursuit. Zbl 0468.90099
Pontryagin, L. S.
15
1981
Das asymptotische Verhalten der Lösungen von Systemen von Differentialgleichungen mit einem kleinen Parameter bei den höchsten Ableitungen. Zbl 0078.08003
Pontryagin, L. S.
14
1957
Über den algebraischen Inhalt topologischer Dualitätssätze. Zbl 0002.29101
Pontrjagin, L.
14
1931
Equations différentielles ordinaires. Zbl 0185.15701
Pontriaguine, L.
13
1969
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
13
1956
Foundations of combinatorial topology. Zbl 0049.39901
Pontryagin, L. S.
12
1952
Über Autoschwingungssysteme, die den Hamiltonschen nahe liegen. JFM 61.1478.02
Pontrjagin, L. S.
12
1934
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
The maximum principle in optimal control. Zbl 0707.49005
Pontryagin, L. S.
10
1989
Über Autoschwingungssysteme, die den Hamiltonschen nahe liegen. Zbl 0010.02302
Pontryagin, L. S.
10
1934
Asymptotic behavior of the solutions of systems of differential equations with a small parameter in the higher derivatives. Zbl 0098.29003
Pontryagin, L. S.
9
1961
Homologies in compact Lie groups. JFM 65.1448.03
Pontrjagin, L.
9
1939
Foundations of combinatorial topology. (Osnovy kombinatornoj topologii). 2nd ed. Zbl 0463.55001
Pontryagin, L. S.
8
1976
On the evasion process in differential games. Zbl 0296.90057
Pontryagin, L.
8
1974
Problem des Ausweichens einer Begegnung in linearen Differentialspielen. Zbl 0246.90064
Pontryagin, L. S.; Mishchenko, E. F.
8
1971
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.
8
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
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. Zbl 0656.01015
Pontryagin, L. S.
7
1988
Foundations of combinatorial topology. 3rd. ed. Zbl 0681.55001
Pontryagin, L. S.
7
1986
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
7
1961
A classification of mappings of the three-dimensional complex into the two-dimensional sphere. Zbl 0025.09302
Pontryagin, L. S.
7
1941
Homologies in compact Lie groups. Zbl 0165.04104
Pontryagin, L. S.
7
1939
Zum Alexanderschen Dualitätssatz. I, II. JFM 54.0608.01
Pontrjagin, L.
7
1927
One statistical problem on optimal control. Zbl 0090.30803
Mishchenko, E. F.; Pontryagin, L. S.
6
1959
Topological groups. I. Zbl 0079.03903
Pontryagin, L. S.
6
1957
Topologische Gruppen. (Nepreryvnye gruppy.) 3. verb. Aufl. Zbl 0265.22001
Pontryagin, L. S.
5
1973
A linear differential evasion game. Zbl 0261.90081
Pontryagin, L. S.
5
1973
Characteristic cycles on manifolds. Zbl 0061.41203
Pontryagin, L. S.
5
1942
The general topological theorem of duality for closed sets. Zbl 0010.18004
Pontryagin, L. S.
5
1934
Selected works of L. S. Pontryagin. Edited by M. S. Nikol’skiĭ, N. L. Grigorenko and V. I. Dmitriev. Zbl 1200.01049
Pontryagin, L. S.
4
2004
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
Grundzüge der kombinatorischen Topologie. Zbl 0071.16103
Pontrjagin, L. S.
4
1956
Homotopie-Klassifikation der Abbildungen der \((n+2)\)-dimensionalen Sphäre in die \(n\)-dimensionale. Zbl 0035.11101
Pontryagin, L. S.
4
1950
Homologies in compact Lie groups. Zbl 0022.31602
Pontryagin, L. S.
4
1939
A classification of continuous transformations of a complex into a sphere. II. Zbl 0019.23802
Pontryagin, L. S.
4
1938
The general topological theorem of duality for closed sets. JFM 60.0531.01
Pontrjagin, L.
4
1934
Beweis des Mengerschen Einbettungssatzes. Zbl 0003.17201
Pontrjagin, L.; Tolstowa, G.
4
1931
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
Arkhangel’skij, A. V. (ed.); Pontryagin, L. S. (ed.); Gamkrelidze, R. V. (ed.)
3
1990
Selected works. Vol. 1. Selected research papers. Ed. and with a preface by R. V. Gamkrelidze. Transl. from the Russian by P. S. V. Naidu. Zbl 0882.01024
Pontryagin, L. S.
3
1986
Les jeux différentiels linéaires. (Linear differential games.). Zbl 0227.90059
Pontryagin, L.
3
1971
Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1964
Mathematische Theorie optimaler Prozesse. Zbl 0115.09001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1964
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
3
1960
Classification of some skew products. Zbl 0060.41403
Pontryagin, L. S.
3
1945
On some topologic invariants of Riemannian manifolds. Zbl 0061.41204
Pontryagin, L. S.
3
1944
Sur les nombres de Betti des groupes de Lie. JFM 61.0475.03
Pontrjagin, L.
3
1935
Sur les groupes abéliens continus. JFM 60.0362.01
Pontrjagin, L.
3
1934
Sur les groupes topologiques compacts et le cinquième problème de M. Hilbert. JFM 60.0358.01
Pontrjagin, L.
3
1934
Les fonctions presque périodiques et l’Analysis situs. Zbl 0006.42801
Pontrjagin, L.
3
1933
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.
2
1986
Gewöhnliche Differentialgleichungen. Zbl 0134.30201
Pontryagin, L. S.
2
1965
On some differential games. Zbl 0151.25501
Pontryagin, L. S.
2
1964
Relaxation oscillations and differential equations containing a small parameter with the senior derivative. Zbl 0100.08601
Mishchenko, E. F.; Pontryagin, L. S.
2
1961
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
Selected works of L. S. Pontryagin. Edited by M. S. Nikol’skiĭ, N. L. Grigorenko and V. I. Dmitriev. Zbl 1200.01049
Pontryagin, L. S.
4
2004
General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O’Shea. Zbl 0778.00007
Arkhangel’skij, A. V. (ed.); Pontryagin, L. S. (ed.); Gamkrelidze, R. V. (ed.)
3
1990
The maximum principle in optimal control. Zbl 0707.49005
Pontryagin, L. S.
10
1989
Selected scientific works. Vol. I: Topology. Topological algebra. (Izbrannye nauchnye trudy. Tom I: Topologiya. Topologicheskaya algebra). Ed. by R. V. Gamkrelidze. Zbl 0646.01021
Pontryagin, L. S.
23
1988
Selected scientific works. Vol. III: Continuous groups. (Izbrannye nauchnye trudy. Tom 3: Nepreryvnye gruppy). Ed. by R. V. Gamkrelidze. Zbl 0659.22001
Pontryagin, L. S.
21
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. Zbl 0656.01015
Pontryagin, L. S.
7
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.
16
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.
20
1986
Generalizations of numbers. (Obobshcheniya chisel). Zbl 0648.00001
Pontryagin, 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 0882.01027
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
11
1986
Foundations of combinatorial topology. 3rd. ed. Zbl 0681.55001
Pontryagin, L. S.
7
1986
Selected works. Vol. 1. Selected research papers. Ed. and with a preface by R. V. Gamkrelidze. Transl. from the Russian by P. S. V. Naidu. Zbl 0882.01024
Pontryagin, L. S.
3
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.
2
1986
Some questions of the theory of differential equations with a small parameter. Zbl 0623.34042
Pontryagin, L. S.; Mishchenko, E. F.
1
1986
Mathematical theory of optimal processes and differential games. Zbl 0616.49001
Pontryagin, L. S.
26
1985
Topological groups. 4th ed. Zbl 0534.22001
Pontryagin, L. S.
26
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.
78
1983
Ordinary differential equations. Textbook. (Obyknovennye differentsial’nye uravneniya. Uchebnoe posobie). 5th ed. Zbl 0526.34001
Pontryagin, L. S.
21
1982
Linear differential games of pursuit. Zbl 0468.90099
Pontryagin, L. S.
15
1981
Linear differential pursuit games. Zbl 0445.90118
Pontryagin, L. S.
56
1980
Optimization in differential games. Zbl 0439.90116
Pontryagin, L. S.
1
1978
A short autobiography of L. S. Pontryagin. Zbl 0426.01013
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.
8
1976
Linear differential games. Zbl 0285.90090
Pontryagin, L. S.
23
1974
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
20
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.
5
1973
A linear differential evasion game. Zbl 0261.90081
Pontryagin, L. S.
5
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.
8
1971
Les jeux différentiels linéaires. (Linear differential games.). Zbl 0227.90059
Pontryagin, L.
3
1971
The linear differential game of evasion. Zbl 0238.90087
Pontryagin, L. S.
21
1970
A problem on the escape of one controlled object from another. Zbl 0277.90109
Pontryagin, L. S.; Mishchenko, E. F.
17
1969
Equations différentielles ordinaires. Zbl 0185.15701
Pontriaguine, L.
13
1969
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1969
Linear differential games. II. Zbl 0157.16401
Pontryagin, L. S.
28
1967
Linear differential games. Zbl 0214.40403
Pontryagin, L. S.
24
1967
Linear differential games. I. Zbl 0157.16304
Pontryagin, L.
20
1967
Linear differential games. Zbl 0189.46602
Mishchenko, E. F.; Pontryagin, L. S.
17
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.
1
1967
On the theory of differential games. Zbl 0163.41801
Pontryagin, L. S.
33
1966
On some differential games. Zbl 0144.12603
Pontryagin, L. S.
31
1965
Gewöhnliche Differentialgleichungen. Zbl 0134.30201
Pontryagin, L. S.
2
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.
67
1964
Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1964
Mathematische Theorie optimaler Prozesse. Zbl 0115.09001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1964
On some differential games. Zbl 0151.25501
Pontryagin, L. S.
2
1964
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.
491
1962
Ordinary differential equations. Translated from the Russian by L.Kacinskas and W.B.Counts. Zbl 0112.05502
Pontryagin, L. S.
345
1962
A probability problem of optimal control. Zbl 0124.33803
Kolmogorov, A. N.; Mishchenko, E. F.; Pontryagin, L. S.
1
1962
The mathematical theory of optimal processes. Zbl 0102.31901
Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
83
1961
Ordinary differential equations. (Obyknovennye differentsial’nye uravneniya). Zbl 0098.05502
Pontryagin, L. S.
37
1961
Optimal regulation processes. Zbl 0098.29403
Pontryagin, L. S.
21
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.
9
1961
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
7
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
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.
8
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
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
3
1960
Smooth manifolds and their applications in homotopy theory. Zbl 0084.19002
Pontryagin, L. S.
23
1959
One statistical problem on optimal control. Zbl 0090.30803
Mishchenko, E. F.; Pontryagin, L. S.
6
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
Topologische Gruppen. Teil 2. Zbl 0085.01704
Pontrjagin, L. S.
43
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.
14
1957
Topological groups. I. Zbl 0079.03903
Pontryagin, L. S.
6
1957
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
13
1956
Grundzüge der kombinatorischen Topologie. Zbl 0071.16103
Pontrjagin, L. S.
4
1956
Glatte Mannigfaltigkeiten und ihre Anwendungen in der Homotopietheorie. Zbl 0064.17402
Pontryagin, L. S.
1
1955
Topological groups. 2nd revised and expanded edition. Zbl 0058.26003
Pontryagin, L. S.
50
1954
Foundations of combinatorial topology. Zbl 0049.39901
Pontryagin, L. S.
12
1952
Homotopie-Klassifikation der Abbildungen der \((n+2)\)-dimensionalen Sphäre in die \(n\)-dimensionale. Zbl 0035.11101
Pontryagin, L. S.
4
1950
Die charakteristischen Zyklen differenzierbarer Mannigfaltigkeiten. Zbl 0037.10305
Pontryagin, L. S.
1
1947
Classification of some skew products. Zbl 0060.41403
Pontryagin, L. S.
3
1945
Hermitian operators in spaces with indefinite metric. Zbl 0061.26004
Pontryagin, L.
57
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.
45
1942
On zeros of some transcendental functions. Zbl 0063.06306
Pontryagin, L. S.
32
1942
Characteristic cycles on manifolds. Zbl 0061.41203
Pontryagin, L. S.
5
1942
Mappings of the three-dimensional sphere into an \(n\)-dimensional complex. Zbl 0060.41401
Pontryagin, L. S.
2
1942
A classification of mappings of the three-dimensional complex into the two-dimensional sphere. JFM 67.0736.01
Pontrjagin, L.
18
1941
A classification of mappings of the three-dimensional complex into the two-dimensional sphere. Zbl 0025.09302
Pontryagin, L. S.
7
1941
Über die topologische Struktur der Lieschen Gruppen. JFM 67.0749.02
Pontrjagin, L.
1
1941
Topological groups. Zbl 0022.17104
Pontryagin, L. S.
155
1939
Topological groups. (Translated by Emma Lehmer). JFM 65.0872.02
Pontrjagin, L.
86
1939
Homologies in compact Lie groups. JFM 65.1448.03
Pontrjagin, L.
9
1939
Homologies in compact Lie groups. Zbl 0165.04104
Pontryagin, L. S.
7
1939
Homologies in compact Lie groups. Zbl 0022.31602
Pontryagin, L. S.
4
1939
A classification of continuous transformations of a complex into a sphere. II. Zbl 0019.23802
Pontryagin, L. S.
4
1938
A classification of continuous transformations of a complex into a sphere. I, II. JFM 64.0608.02
Pontryagin, L.
2
1938
A classification of continuous transformations of a complex into a sphere. I. Zbl 0019.08803
Pontryagin, L. S.
1
1938
Systèmes grossiers. Zbl 0016.11301
Andronov, A.; Pontryagin, L. S.
36
1937
Systèmes grossiers. JFM 63.0728.01
Andronov, A.; Pontrjagin, L.
17
1937
Über den Brouwerschen Dimensionsbegriff. Zbl 0016.23005
Alexandroff, P.; Hopf, H.; Pontrjagin, L.
1
1937
...and 26 more Documents
all top 5

Cited by 3,248 Authors

23 Chikriĭ, Arkadiĭ Alekseevich
20 Torres, Delfim Fernando Marado
18 Trélat, Emmanuel
18 Ushakov, Vladimir Nikolaevich
16 Bonnard, Bernard
16 Nikol’skiĭ, Mikhaĭl Sergeevich
16 Sachkov, Yuriĭ Leonidovich
13 Arutyunov, Aram Vladimirovic
13 Chentsov, Aleksandr Georgievich
13 Dikranjan, Dikran N.
13 Khailov, Evgenii N.
13 Krasovskiĭ, Nikolaĭ Nikolaevich
13 Schättler, Heinz Michael
12 Aseev, Sergei M.
12 Subbotina, Nina N.
12 Taras’ev, Aleksandr Mikhaĭlovich
11 Danilin, Alekseĭ Rufimovich
11 Patsko, Valerii S.
11 Petrov, Nikolaĭ Nikandrovich
11 Repovš, Dušan D.
11 Ukhobotov, Viktor Ivanovich
10 Cahlon, Baruch
10 Chernous’ko, Feliks Leonidovich
10 Karamzin, Dmitry Yu.
10 Kiselev, Yuri N.
10 Mello, Luis Fernando O.
10 Orlov, Mikhail V.
10 Schmidt, Darrell
10 Subbotin, Andreĭ Izmaĭlovich
10 Tkachenko, Mikhail Gelievich
9 Aoki, Nobuo
9 Dranishnikov, Alexander Nikolaevich
9 Gamkrelidze, Revaz Valerianovich
9 Llibre, Jaume
8 Azamov, Abdulla Azamovich
8 Giordano Bruno, Anna
8 Ibragimov, Gafurjan I.
8 Kalinin, Anatoly I.
8 Ledzewicz, Urszula
8 Salzmann, Helmut R.
7 de Carvalho Braga, Denis
7 Grigorieva, Ellina V.
7 Gusyatnikov, P. B.
7 Kar, Tapan Kumar
7 Lobo Pereira, Fernando
7 Orlov, Sergey M.
7 Rachik, Mostafa
7 Silva, Cristiana J.
6 Agusto, Folashade B.
6 Chikrii, Greta Ts.
6 Fernández Martínez, Manuel
6 Fuller, A. Thomas
6 Galperin, Efim A.
6 Grigorenko, Nikolaĭ Leont’evich
6 Hofmann, Karl Heinrich
6 Ivanov, Grigorii E.
6 Jana, Soovoojeet
6 Lenhart, Suzanne M.
6 Osipov, Yuriĭ Sergeevich
6 Ostapenko, V. V.
6 Samanta, Guru Prasad
6 Teo, Kok Lay
6 Yong, Jiongmin
5 Akhmet’ev, Pëtr Mikhaĭlovich
5 Akulenko, Leonid Denisovich
5 Almeida, Ricardo
5 Ardentov, Andrei A.
5 Arkhangel’skiĭ, Aleksandr Vladimirovich
5 Ayala, Victor
5 Azizov, Tomas Ya.
5 Banakh, Taras Onufrievich
5 Barbero-Liñán, María
5 Chaudhuri, Kripa Sindhu
5 Kryazhimskiĭ, Arkadiĭ Viktorovich
5 Kuchkarov, Atamurat Shamuratovich
5 Levskii, M. V.
5 Mardanov, Misir Dzhumail ogly
5 Oguztöreli, Mehmet Namik
5 Petrosyan, Ovanes L.
5 Reshmin, Sergey A.
5 Ryan, Eugene P.
5 Shaburov, Aleksandr Aleksandrovich
5 Yavin, Yaakov
4 Agrachev, Andreĭ Aleksandrovich
4 Antonyan, Sergey A.
4 Avakov, Evgeniĭ Rachievich
4 Basin, Michael V.
4 Bortakovskii, A. S.
4 Boscain, Ugo
4 Botkin, Nikolai D.
4 Bourdin, Loïc
4 Buonomo, Bruno
4 Bykov, Alexander I.
4 Chyba, Monique
4 Costanza, Vicente
4 de Oliveira, Valeriano Antunes
4 Domoshnitsky, Alexander I.
4 Fedorov, Alekseĭ Konstantinovich
4 Frankowska, Hélène
4 Frolkina, Olga D.
...and 3,148 more Authors
all top 5

Cited in 422 Serials

90 Journal of Applied Mathematics and Mechanics
85 Topology and its Applications
82 Journal of Mathematical Analysis and Applications
77 Proceedings of the Steklov Institute of Mathematics
74 Journal of Mathematical Sciences (New York)
72 Transactions of the American Mathematical Society
55 Differential Equations
53 Automatica
53 Journal of Optimization Theory and Applications
48 Proceedings of the American Mathematical Society
46 Mathematical Notes
40 Journal of Differential Equations
40 Automation and Remote Control
40 International Journal of Control, I. Series
35 International Journal of Control
31 Optimal Control Applications & Methods
28 Mathematical Biosciences
28 Mathematische Annalen
28 Mathematische Zeitschrift
27 Ukrainian Mathematical Journal
26 Cybernetics and Systems Analysis
25 Journal of the Franklin Institute
25 Siberian Mathematical Journal
24 Prikladnaya Matematika i Mekhanika
24 Bulletin of the American Mathematical Society
23 Journal of Computer and Systems Sciences International
22 Applied Mathematics and Computation
21 Journal of Functional Analysis
19 Advances in Mathematics
19 Systems & Control Letters
19 Dynamic Games and Applications
18 Computational Mathematics and Modeling
17 International Journal of Systems Science
17 Journal of Computational and Applied Mathematics
15 Communications in Mathematical Physics
15 Journal of Soviet Mathematics
15 European Journal of Operational Research
15 Mathematical Problems in Engineering
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Computers & Mathematics with Applications
14 European Journal of Control
13 Chaos, Solitons and Fractals
13 Cybernetics
13 International Journal of Biomathematics
12 Functional Analysis and its Applications
12 Mathematical and Computer Modelling
11 Journal of Pure and Applied Algebra
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 SIAM Journal on Control and Optimization
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Journal of Dynamical and Control Systems
11 Journal of Theoretical Biology
10 Journal of Mathematical Biology
10 Bulletin of Mathematical Biology
10 Archiv der Mathematik
10 Journal of Algebra
10 Theoretical Population Biology
10 Acta Applicandae Mathematicae
10 Computational Mathematics and Mathematical Physics
10 Nonlinear Dynamics
9 Monatshefte für Mathematik
9 Tohoku Mathematical Journal. Second Series
9 Physica D
9 Applied Mathematical Modelling
9 Russian Mathematics
9 Regular and Chaotic Dynamics
9 Journal of Biological Systems
9 Nonlinear Analysis. Theory, Methods & Applications
8 Israel Journal of Mathematics
8 Reports on Mathematical Physics
8 Moscow University Computational Mathematics and Cybernetics
8 Linear Algebra and its Applications
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Discrete and Continuous Dynamical Systems
8 Nonlinear Analysis. Real World Applications
8 Discrete and Continuous Dynamical Systems. Series B
8 Discrete and Continuous Dynamical Systems. Series S
8 Ural Mathematical Journal
7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
7 Annales de l’Institut Fourier
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Economic Theory
7 Metroeconomica
7 Annals of Physics
7 Sbornik: Mathematics
7 Abstract and Applied Analysis
7 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Industrial and Management Optimization
7 Journal of Biological Dynamics
6 Mathematical Methods in the Applied Sciences
6 Russian Mathematical Surveys
6 Journal of Geometry and Physics
6 Czechoslovak Mathematical Journal
6 International Journal of Mathematics and Mathematical Sciences
6 Journal of Approximation Theory
6 Numerical Functional Analysis and Optimization
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Journal of Dynamics and Differential Equations
6 Discrete Dynamics in Nature and Society
6 Computational & Mathematical Methods in Medicine
...and 322 more Serials
all top 5

Cited in 61 Fields

856 Calculus of variations and optimal control; optimization (49-XX)
488 Systems theory; control (93-XX)
387 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
343 Ordinary differential equations (34-XX)
269 Biology and other natural sciences (92-XX)
175 Dynamical systems and ergodic theory (37-XX)
173 Topological groups, Lie groups (22-XX)
143 General topology (54-XX)
143 Mechanics of particles and systems (70-XX)
135 Operations research, mathematical programming (90-XX)
109 Differential geometry (53-XX)
105 Partial differential equations (35-XX)
101 Numerical analysis (65-XX)
79 Manifolds and cell complexes (57-XX)
65 Algebraic topology (55-XX)
62 Operator theory (47-XX)
59 Global analysis, analysis on manifolds (58-XX)
56 Group theory and generalizations (20-XX)
52 Functional analysis (46-XX)
45 Probability theory and stochastic processes (60-XX)
43 Measure and integration (28-XX)
42 Quantum theory (81-XX)
35 Abstract harmonic analysis (43-XX)
31 Real functions (26-XX)
31 Mechanics of deformable solids (74-XX)
31 Fluid mechanics (76-XX)
27 Mathematical logic and foundations (03-XX)
26 History and biography (01-XX)
22 Geometry (51-XX)
21 Number theory (11-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
20 Associative rings and algebras (16-XX)
20 Computer science (68-XX)
19 Algebraic geometry (14-XX)
19 Several complex variables and analytic spaces (32-XX)
19 Convex and discrete geometry (52-XX)
18 General and overarching topics; collections (00-XX)
18 Category theory; homological algebra (18-XX)
18 Information and communication theory, circuits (94-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Functions of a complex variable (30-XX)
15 Integral equations (45-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Approximations and expansions (41-XX)
14 Statistics (62-XX)
12 Commutative algebra (13-XX)
12 Relativity and gravitational theory (83-XX)
11 Nonassociative rings and algebras (17-XX)
10 Difference and functional equations (39-XX)
9 Field theory and polynomials (12-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 Classical thermodynamics, heat transfer (80-XX)
6 Geophysics (86-XX)
5 Integral transforms, operational calculus (44-XX)
5 Optics, electromagnetic theory (78-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.