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Boltyanskij, Vladimir Grigor’evich

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Author ID: boltyanskij.vladimir-grigorevich Recent zbMATH articles by "Boltyanskij, Vladimir Grigor'evich"
Published as: Boltianski, V.; Boltianski, V. G.; Boltjanski, V.; Boltjanski, V. G.; Boltjanski, W.; Boltjanski, W. G.; Boltyanski, V.; Boltyanski, V. G.; Boltyanski, Vladimir; Boltyanski, Vladimir G.; Boltyanski, W. G.; Boltyanskii, V. G.; Boltyanskii, Vladimir G.; Boltyanskij, V.; Boltyanskij, V. G.; Boltyanskij, Vladimir; Boltyanskij, Vladimir G.; Boltyanskij, Vladimir Grigor’evich; Boltyanskiĭ, V.; Boltyanskiĭ, V. G.; Boltyansky, V. G.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 246 Publications since 1949, including 55 Books
all top 5

Serials

17 Differentsial’nye Uravneniya
16 Differential Equations
14 Soviet Mathematics. Doklady
8 Uspekhi Matematicheskikh Nauk [N. S.]
6 Russian Mathematical Surveys
6 Doklady Mathematics
6 Doklady Akademii Nauk SSSR. Novaya Seriya
6 Translations. Series 2. American Mathematical Society
5 International Journal of Control
5 Discrete & Computational Geometry
5 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika
4 Doklady Akademii Nauk SSSR
4 Beiträge zur Algebra und Geometrie
4 Matematicheskiĭ Sbornik. Novaya Seriya
4 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
4 Journal of Applied Analysis
3 Mathematical Notes
3 Journal of Combinatorial Theory. Series A
2 Matematicheskie Zametki
2 Akademiya Nauk Armyanskoĭ SSR. Doklady
2 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya
2 Optimal Control Applications & Methods
2 Pokroky Matematiky, Fyziky & Astronomie
2 Journal of Convex Analysis
2 Sbornik: Mathematics
2 Universitext
1 Acta Scientiarum Mathematicarum
1 Colloquium Mathematicum
1 Doklady Akademii Nauk UzSSR
1 Izvestiya Akademii Nauk Moldavskoĭ SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
1 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk
1 Journal of Soviet Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Results in Mathematics
1 Studia Scientiarum Mathematicarum Hungarica
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Topology and its Applications
1 Combinatorica
1 Optimization
1 Dynamic Systems and Applications
1 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
1 Mathematics of the USSR, Sbornik
1 Nieuw Archief voor Wiskunde. Vierde Serie
1 Mathematical Problems in Engineering
1 Fundamental’naya i Prikladnaya Matematika
1 Bulletin of the Georgian Academy of Sciences
1 Optimization Methods & Software
1 Journal of Dynamical and Control Systems
1 Advances in Geometry
1 SIAM Journal on Control
1 Buletinul Institutului Politehnic din Iaşi, New Series
1 Systems & Control: Foundations & Applications
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Combinatorial Optimization
1 Nonlinear Analysis. Hybrid Systems

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,359 times in 1,229 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.
484
1962
Time-optimal synthesis for non-linear control systems of second order. Zbl 0249.49010
Boltyanskii, V. G.
109
1967
The mathematical theory of optimal processes. Zbl 0102.31901
Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
81
1961
Excursions into combinatorial geometry. Zbl 0877.52001
Boltyanski, V.; Martini, H.; Soltan, Petru S.
79
1997
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
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
Convex figures. Zbl 0098.35501
Yaglom, I. M.; Boltyanskiĭ, V. G.
63
1961
Geometric methods and optimization problems. Zbl 0933.90002
Boltyanski, V.; Martini, H.; Soltan, V.
44
1999
Sufficient conditions for optimality and the justification of the dynamic programming method. Zbl 0143.32004
Boltyanskiĭ, V. G.
43
1964
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
20
1974
Optimal control of impulsive hybrid systems. Zbl 1163.49038
Azhmyakov, V.; Boltyanski, V. G.; Poznyak, A.
19
2008
The method of tents in the theory of extremal problems. Zbl 0334.49014
Boltyanskij, V. G.
18
1975
Robust maximum principle in minimax control. Zbl 0943.49017
Boltyansky, V. G.; Poznyak, A. S.
13
1999
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
13
1956
The robust maximum principle. Theory and applications. Zbl 1239.49002
Boltyanski, Vladimir G.; Poznyak, Alexander S.
12
2012
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 method of tents in the theory of extremal problems. Zbl 0318.49017
Boltyanskiĭ, V. G.
11
1975
The maximum principle for variable structure systems. Zbl 1077.93011
Boltyanski, V.
8
2004
Robust maximum principle for multi-model LQ-problem. Zbl 1018.49023
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyanski, V. G.
8
2002
Combinatorial geometry and convexity classes. Zbl 0394.52005
Boltyanskij, V. G.; Soltan, P. S.
8
1978
Hilbert’s third problem. Translated by Richard A. Silverman and introduced by Albert B. J. Novikoff. Zbl 0388.51001
Boltyanskii, Vladimir G.
7
1978
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
7
1961
Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006
Boltyanski, Vladimir; Martini, Horst
6
2006
Linear multi-model time-optimization. Zbl 1072.49501
Boltyanski, V.; Poznyak, A.
6
2002
Optimale Steuerung diskreter Systeme. Deutsche Übersetzung: P. Aumüller, W. Schmidt. Wissenschaftliche Redaktion: L. Bittner. Zbl 0343.49001
Boltjanski, W. G.
6
1976
Envelopes. Zbl 0126.37102
Boltyanskij, V.
6
1964
The dynamic programming approach to multi-model robust optimization. Zbl 1180.49031
Azhmyakov, Vadim; Boltyanski, Vladimir; Poznyak, Alexander
5
2010
Robust stochastic maximum principle for multi-model worst case optimization. Zbl 1054.93054
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G.
5
2002
Star-shaped sets in normed spaces. Zbl 0847.52003
Boltyanski, V.; Martini, H.; Soltan, P. S.
5
1996
Mathematical methods of optimal control. Zbl 0213.15504
Boltyanskij, V. G.
5
1971
Illumination of direct vector sums of convex bodies. Zbl 1164.52004
Boltyanski, Vladimir; Martini, Horst
4
2007
Carathéodory’s theorem and \(H\)-convexity. Zbl 0976.52007
Boltyanski, V.; Martini, H.
4
2001
Konvexe Figuren. Zbl 0070.17502
Yaglom, I. M.; Boltjanski, W. G.
4
1956
Robust optimal control for minimax stochastic linear quadratic problem. Zbl 1055.93076
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G.
3
2002
Robust maximum principle for a measured space as uncertainty set. Zbl 1033.49035
Boltyanski, V. G.; Poznyak, A. S.
3
2002
Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems. Zbl 1021.49017
Boltyanski, V.
3
2001
Combinatorial geometry of belt bodies. Zbl 0853.52004
Boltyanski, V.; Martini, H.
3
1995
A new step in the solution of the Szökefalvi-Nagy problem. Zbl 0756.52009
Boltyanski, Vladimir G.
3
1992
Combinatorial geometry of various classes of convex sets. (Kombinatornaya geometriya razlichnykh klassov vypuklykh mnozhestv). Zbl 0528.52002
Boltyanskij, V. G.; Soltan, P. S.
3
1978
Commande optimale des systèmes discrets. Traduit du russe par A. Sossinski. Zbl 0363.49001
Boltianski, V.
3
1976
Helly’s theorem for H-convex sets. Zbl 0342.52011
Boltyanskij, V. G.
3
1976
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
The maximum principle in the theory of optimum processes. Zbl 0081.34702
Boltyanskij, V. G.
3
1958
Solution of the illumination problem for bodies with md \(M=2\). Zbl 1027.52002
Boltyanski, V.
2
2001
Fixing and hindering systems in combinatorial geometry. Zbl 0962.52001
Boltyanski, V.; Martini, H.
2
1999
On Grünbaum’s conjecture about inner illumination of convex bodies. Zbl 0940.52004
Boltyanski, V.; Martini, H.; Soltan, V.
2
1999
Hindering systems for convex bodies. Zbl 0888.52006
Boltyanskij, V. G.
2
1997
A new point of view on linear controlled objects. Zbl 0951.49026
Boltyanskii, V. G.
2
1996
Stories about covering and illuminating of convex bodies. Zbl 0896.52023
Boltyanski, V.; Gohberg, I.
2
1995
A solution of Hadwiger’s covering problem for zonoids. Zbl 0768.52004
Boltjanski, V. G.; Soltan, P. S.
2
1992
Solution of Hadwiger’s problem for a class of convex bodies. Zbl 0737.52003
Boltyanskij, V. G.; Soltan, P. S.
2
1990
Geometry of masses. (Geometriya mass). Zbl 0661.70001
Balk, M. B.; Boltyanskij, V. G.
2
1987
Results and problems in combinatorial geometry. Transl. from the Russian. Zbl 0567.52007
Boltyanskij, V. G.; Gokhberg, I. Ts.
2
1985
An optimization problem with change of the phase space. Zbl 0529.49012
Boltyanskij, V. G.
2
1983
The envelope. (La envolvente.) Translated from the Russian by V. Llanos Mas. Zbl 0381.53001
Boltianski, V. G.
2
1977
Das Borsuksche Problem. Zbl 0368.52010
Boltyanskij, V. G.; Soltan, V. P.
2
1977
On the intersection of local tents. Zbl 0316.53010
Boltyanskij, V. G.
2
1974
Methode der lokalen Schnitte in der Theorie der optimalen Prozesse. Zbl 0174.40703
Boltyanskij, V. G.
2
1968
Illumination of direct sums of two convex figures. Zbl 1126.52002
Baladze, E. D.; Boltyanski, V. G.
1
2006
Separation of convex cones and extremal problems. Zbl 1095.49018
Boltyanski, V. G.
1
2005
Separability of \(H\)-convex sets. Zbl 1078.52001
Boltyanski, V.; Martini, H.
1
2005
The century of Hilbert’s third problem. Zbl 1229.52001
Boltyanskiĭ, V. G.
1
2004
Maximal primitive fixing systems for convex figures. Zbl 1051.52001
Boltyanski, Vladimir; González-Aguilar, Hernán
1
2003
Minkowski addition of \(H\)-convex sets and related Helly-type theorems. Zbl 1049.52001
Boltyanski, V.; Martini, H.
1
2003
Covering belt bodies by smaller homothetical copies. Zbl 0996.52015
Boltyanski, Vladimir; Martini, Horst
1
2001
Solution of the illumination problem for three-dimensional convex bodies. Zbl 1052.52001
Boltyanskij, V. G.
1
2000
Cardinalities of primitive fixing systems for convex bodies. Zbl 0956.52001
Boltyanski, V.; Morales Amaya, E.
1
2000
Minimal fixing systems for convex bodies. Zbl 0867.52002
Boltyanski, V. G.; Morales Amaya, E.
1
1995
Tent method in optimal control theory. Zbl 0812.49013
Boltyanski, Vladimir G.
1
1993
Geometric etudes in combinatorial mathematics. With over 300 illustrations, index, and introductions by Paul Erdős, Branko Grünbaum and Cicil Rousseau. Zbl 0727.52001
Boltyanskij, Vladimir; Soifer, Alexander
1
1991
Separation of a system of convex cones in a topological vector space. Zbl 0596.52004
Boltyanskij, V. G.
1
1985
A solution of the Szökefalvi-Nagy problem for three-dimensional convex bodies. Zbl 0586.52006
Boltyanskij, V. G.; Chabukiani, T. A.
1
1984
Descriptive topology. (Naglyadnaya topologiya). Pod red. S. P. Novikova. Zbl 0606.57001
Boltyanskij, V. G.; Efremovich, V. A.
1
1982
Generalization of a theorem of B. Sz.-Nagy. Zbl 0359.52008
Boltyanskij, V. G.
1
1976
On certain classes of convex sets. Zbl 0342.52010
Boltyanskij, V. G.
1
1976
Optimale Steuerung diskreter Systeme. (Optimal’noe upravlenie diskretnymi sistemami.). Zbl 0268.49017
Boltyanskij, V. G.
1
1973
Das Stützpunktprinzip in Problemen der optimalen Steuerung. Zbl 0265.49018
Boltyanskij, V. G.
1
1973
Illumination from within of the boundary of a convex body. Zbl 0251.52006
Boltyanskij, V. G.; Soltan, P. S.
1
1972
Separability axioms and a metric. Zbl 0224.54018
Boltyanskij, V. G.
1
1971
Mathematische Methoden der optimalen Steuerung. (Mathematical methods of optimal control.) Übersetzung aus dem Russischen von L. Bittner und S. Dietze. Wissenschaftliche Redaktion L. Bittner. Zbl 0223.49001
Boltyanski, W. G.
1
1971
Über die Zerlegung von ebenen Figuren in Teile von kleinerem Durchmesser. Zbl 0198.27102
Boltyanskij, V. G.
1
1970
Some results and some problems of the Boolean algebras theory. Zbl 0222.06009
Boltjanski, V. G.
1
1969
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1969
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 k-regular imbeddings and their application to the theory of approximation of functions. Zbl 0133.31102
Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A.
1
1963
Metrische Räume über Halbkörpern. Zbl 0142.21001
Antonovskij, M. Ya.; Boltyanskij, V. G.; Sarymsakov, T. A.
1
1961
Über k-reguläre Einbettungen und ihre Anwendung in der Theorie der Annäherung von Funktionen. Zbl 0122.30703
Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A.
1
1960
On the fundamental concepts of algebraic topology. Zbl 0097.16001
Boltyanskij, V. G.; Postnikov, M. M.
1
1960
Topology. I. II. Zbl 0229.54002
Yefremovich, V. A.; Boltyanskij, V. G.
1
1959
Homotopy classification of cross sections. Zbl 0082.16603
Boltyanskiĭ, V. G.
1
1958
Homotopy theory of continuous mappings and of vector fields. Zbl 0079.16904
Boltyanskij, V. G.
1
1957
Über die dimensionelle Vollwertigkeit der Kompakten. Zbl 0037.09801
Boltyanskij, V. G.
1
1949
The robust maximum principle. Theory and applications. Zbl 1239.49002
Boltyanski, Vladimir G.; Poznyak, Alexander S.
12
2012
The dynamic programming approach to multi-model robust optimization. Zbl 1180.49031
Azhmyakov, Vadim; Boltyanski, Vladimir; Poznyak, Alexander
5
2010
Optimal control of impulsive hybrid systems. Zbl 1163.49038
Azhmyakov, V.; Boltyanski, V. G.; Poznyak, A.
19
2008
Illumination of direct vector sums of convex bodies. Zbl 1164.52004
Boltyanski, Vladimir; Martini, Horst
4
2007
Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006
Boltyanski, Vladimir; Martini, Horst
6
2006
Illumination of direct sums of two convex figures. Zbl 1126.52002
Baladze, E. D.; Boltyanski, V. G.
1
2006
Separation of convex cones and extremal problems. Zbl 1095.49018
Boltyanski, V. G.
1
2005
Separability of \(H\)-convex sets. Zbl 1078.52001
Boltyanski, V.; Martini, H.
1
2005
The maximum principle for variable structure systems. Zbl 1077.93011
Boltyanski, V.
8
2004
The century of Hilbert’s third problem. Zbl 1229.52001
Boltyanskiĭ, V. G.
1
2004
Maximal primitive fixing systems for convex figures. Zbl 1051.52001
Boltyanski, Vladimir; González-Aguilar, Hernán
1
2003
Minkowski addition of \(H\)-convex sets and related Helly-type theorems. Zbl 1049.52001
Boltyanski, V.; Martini, H.
1
2003
Robust maximum principle for multi-model LQ-problem. Zbl 1018.49023
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyanski, V. G.
8
2002
Linear multi-model time-optimization. Zbl 1072.49501
Boltyanski, V.; Poznyak, A.
6
2002
Robust stochastic maximum principle for multi-model worst case optimization. Zbl 1054.93054
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G.
5
2002
Robust optimal control for minimax stochastic linear quadratic problem. Zbl 1055.93076
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G.
3
2002
Robust maximum principle for a measured space as uncertainty set. Zbl 1033.49035
Boltyanski, V. G.; Poznyak, A. S.
3
2002
Carathéodory’s theorem and \(H\)-convexity. Zbl 0976.52007
Boltyanski, V.; Martini, H.
4
2001
Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems. Zbl 1021.49017
Boltyanski, V.
3
2001
Solution of the illumination problem for bodies with md \(M=2\). Zbl 1027.52002
Boltyanski, V.
2
2001
Covering belt bodies by smaller homothetical copies. Zbl 0996.52015
Boltyanski, Vladimir; Martini, Horst
1
2001
Solution of the illumination problem for three-dimensional convex bodies. Zbl 1052.52001
Boltyanskij, V. G.
1
2000
Cardinalities of primitive fixing systems for convex bodies. Zbl 0956.52001
Boltyanski, V.; Morales Amaya, E.
1
2000
Geometric methods and optimization problems. Zbl 0933.90002
Boltyanski, V.; Martini, H.; Soltan, V.
44
1999
Robust maximum principle in minimax control. Zbl 0943.49017
Boltyansky, V. G.; Poznyak, A. S.
13
1999
Fixing and hindering systems in combinatorial geometry. Zbl 0962.52001
Boltyanski, V.; Martini, H.
2
1999
On Grünbaum’s conjecture about inner illumination of convex bodies. Zbl 0940.52004
Boltyanski, V.; Martini, H.; Soltan, V.
2
1999
Excursions into combinatorial geometry. Zbl 0877.52001
Boltyanski, V.; Martini, H.; Soltan, Petru S.
79
1997
Hindering systems for convex bodies. Zbl 0888.52006
Boltyanskij, V. G.
2
1997
Star-shaped sets in normed spaces. Zbl 0847.52003
Boltyanski, V.; Martini, H.; Soltan, P. S.
5
1996
A new point of view on linear controlled objects. Zbl 0951.49026
Boltyanskii, V. G.
2
1996
Combinatorial geometry of belt bodies. Zbl 0853.52004
Boltyanski, V.; Martini, H.
3
1995
Stories about covering and illuminating of convex bodies. Zbl 0896.52023
Boltyanski, V.; Gohberg, I.
2
1995
Minimal fixing systems for convex bodies. Zbl 0867.52002
Boltyanski, V. G.; Morales Amaya, E.
1
1995
Tent method in optimal control theory. Zbl 0812.49013
Boltyanski, Vladimir G.
1
1993
A new step in the solution of the Szökefalvi-Nagy problem. Zbl 0756.52009
Boltyanski, Vladimir G.
3
1992
A solution of Hadwiger’s covering problem for zonoids. Zbl 0768.52004
Boltjanski, V. G.; Soltan, P. S.
2
1992
Geometric etudes in combinatorial mathematics. With over 300 illustrations, index, and introductions by Paul Erdős, Branko Grünbaum and Cicil Rousseau. Zbl 0727.52001
Boltyanskij, Vladimir; Soifer, Alexander
1
1991
Solution of Hadwiger’s problem for a class of convex bodies. Zbl 0737.52003
Boltyanskij, V. G.; Soltan, P. S.
2
1990
Geometry of masses. (Geometriya mass). Zbl 0661.70001
Balk, M. B.; Boltyanskij, V. G.
2
1987
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
Results and problems in combinatorial geometry. Transl. from the Russian. Zbl 0567.52007
Boltyanskij, V. G.; Gokhberg, I. Ts.
2
1985
Separation of a system of convex cones in a topological vector space. Zbl 0596.52004
Boltyanskij, V. G.
1
1985
A solution of the Szökefalvi-Nagy problem for three-dimensional convex bodies. Zbl 0586.52006
Boltyanskij, V. G.; Chabukiani, T. A.
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
An optimization problem with change of the phase space. Zbl 0529.49012
Boltyanskij, V. G.
2
1983
Descriptive topology. (Naglyadnaya topologiya). Pod red. S. P. Novikova. Zbl 0606.57001
Boltyanskij, V. G.; Efremovich, V. A.
1
1982
Combinatorial geometry and convexity classes. Zbl 0394.52005
Boltyanskij, V. G.; Soltan, P. S.
8
1978
Hilbert’s third problem. Translated by Richard A. Silverman and introduced by Albert B. J. Novikoff. Zbl 0388.51001
Boltyanskii, Vladimir G.
7
1978
Combinatorial geometry of various classes of convex sets. (Kombinatornaya geometriya razlichnykh klassov vypuklykh mnozhestv). Zbl 0528.52002
Boltyanskij, V. G.; Soltan, P. S.
3
1978
The envelope. (La envolvente.) Translated from the Russian by V. Llanos Mas. Zbl 0381.53001
Boltianski, V. G.
2
1977
Das Borsuksche Problem. Zbl 0368.52010
Boltyanskij, V. G.; Soltan, V. P.
2
1977
Optimale Steuerung diskreter Systeme. Deutsche Übersetzung: P. Aumüller, W. Schmidt. Wissenschaftliche Redaktion: L. Bittner. Zbl 0343.49001
Boltjanski, W. G.
6
1976
Commande optimale des systèmes discrets. Traduit du russe par A. Sossinski. Zbl 0363.49001
Boltianski, V.
3
1976
Helly’s theorem for H-convex sets. Zbl 0342.52011
Boltyanskij, V. G.
3
1976
Generalization of a theorem of B. Sz.-Nagy. Zbl 0359.52008
Boltyanskij, V. G.
1
1976
On certain classes of convex sets. Zbl 0342.52010
Boltyanskij, V. G.
1
1976
The method of tents in the theory of extremal problems. Zbl 0334.49014
Boltyanskij, V. G.
18
1975
The method of tents in the theory of extremal problems. Zbl 0318.49017
Boltyanskiĭ, V. G.
11
1975
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 intersection of local tents. Zbl 0316.53010
Boltyanskij, V. G.
2
1974
Optimale Steuerung diskreter Systeme. (Optimal’noe upravlenie diskretnymi sistemami.). Zbl 0268.49017
Boltyanskij, V. G.
1
1973
Das Stützpunktprinzip in Problemen der optimalen Steuerung. Zbl 0265.49018
Boltyanskij, V. G.
1
1973
Illumination from within of the boundary of a convex body. Zbl 0251.52006
Boltyanskij, V. G.; Soltan, P. S.
1
1972
Mathematical methods of optimal control. Zbl 0213.15504
Boltyanskij, V. G.
5
1971
Separability axioms and a metric. Zbl 0224.54018
Boltyanskij, V. G.
1
1971
Mathematische Methoden der optimalen Steuerung. (Mathematical methods of optimal control.) Übersetzung aus dem Russischen von L. Bittner und S. Dietze. Wissenschaftliche Redaktion L. Bittner. Zbl 0223.49001
Boltyanski, W. G.
1
1971
Über die Zerlegung von ebenen Figuren in Teile von kleinerem Durchmesser. Zbl 0198.27102
Boltyanskij, V. G.
1
1970
Some results and some problems of the Boolean algebras theory. Zbl 0222.06009
Boltjanski, V. G.
1
1969
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1969
Methode der lokalen Schnitte in der Theorie der optimalen Prozesse. Zbl 0174.40703
Boltyanskij, V. G.
2
1968
Time-optimal synthesis for non-linear control systems of second order. Zbl 0249.49010
Boltyanskii, V. G.
109
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
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
Sufficient conditions for optimality and the justification of the dynamic programming method. Zbl 0143.32004
Boltyanskiĭ, V. G.
43
1964
Envelopes. Zbl 0126.37102
Boltyanskij, V.
6
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 k-regular imbeddings and their application to the theory of approximation of functions. Zbl 0133.31102
Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A.
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.
484
1962
The mathematical theory of optimal processes. Zbl 0102.31901
Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
81
1961
Convex figures. Zbl 0098.35501
Yaglom, I. M.; Boltyanskiĭ, V. G.
63
1961
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
7
1961
Metrische Räume über Halbkörpern. Zbl 0142.21001
Antonovskij, M. Ya.; Boltyanskij, V. G.; Sarymsakov, T. A.
1
1961
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
3
1960
Über k-reguläre Einbettungen und ihre Anwendung in der Theorie der Annäherung von Funktionen. Zbl 0122.30703
Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A.
1
1960
On the fundamental concepts of algebraic topology. Zbl 0097.16001
Boltyanskij, V. G.; Postnikov, M. M.
1
1960
Topology. I. II. Zbl 0229.54002
Yefremovich, V. A.; Boltyanskij, V. G.
1
1959
The maximum principle in the theory of optimum processes. Zbl 0081.34702
Boltyanskij, V. G.
3
1958
Homotopy classification of cross sections. Zbl 0082.16603
Boltyanskiĭ, V. G.
1
1958
Homotopy theory of continuous mappings and of vector fields. Zbl 0079.16904
Boltyanskij, V. G.
1
1957
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
13
1956
Konvexe Figuren. Zbl 0070.17502
Yaglom, I. M.; Boltjanski, W. G.
4
1956
Über die dimensionelle Vollwertigkeit der Kompakten. Zbl 0037.09801
Boltyanskij, V. G.
1
1949
all top 5

Cited by 1,650 Authors

25 Martini, Horst
19 Boltyanskij, Vladimir Grigor’evich
18 Bortakovskii, A. S.
17 Poznyak, Aleksandr Semënovich
16 Sachkov, Yuriĭ Leonidovich
15 Bonnard, Bernard
15 Schättler, Heinz Michael
14 Azhmyakov, Vadim
14 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
12 Aseev, Sergei M.
12 Torres, Delfim Fernando Marado
12 Trélat, Emmanuel
11 Chernous’ko, Feliks Leonidovich
11 Danilin, Alekseĭ Rufimovich
11 Khailov, Evgenii N.
11 Subbotina, Nina N.
10 Arutyunov, Aram Vladimirovic
10 Karamzin, Dmitry Yu.
10 Orlov, Mikhail V.
9 Kiselev, Yuri N.
9 Spirova, Margarita Georgieva
9 Zachos, Anastasios N.
8 Dumitrescu, Adrian
8 Kalinin, Anatoly I.
8 Ledzewicz, Urszula
8 Taras’ev, Aleksandr Mikhaĭlovich
7 Nikol’skiĭ, Mikhaĭl Sergeevich
7 Wu, Senlin
7 Zeidan, Vera Michel
6 Akulenko, Leonid Denisovich
6 Grigorieva, Ellina V.
6 Lobo Pereira, Fernando
6 Mordukhovich, Boris S.
6 Orlov, Sergey M.
6 Rachik, Mostafa
6 Šimon Hilscher, Roman
5 Ardentov, Andrei A.
5 Ayala, Victor
5 Barbero-Liñán, María
5 Basin, Michael V.
5 Boscain, Ugo
5 Jana, Soovoojeet
5 Jiang, Minghui
5 Korobov, Valeriĭ Ivanovych
5 Levskii, M. V.
5 Mardanov, Misir Dzhumail ogly
5 Shaburov, Aleksandr Aleksandrovich
5 Swanepoel, Konrad J.
5 Tokmantsev, Timofeĭ Borisovich
4 Agrachev, Andreĭ Aleksandrovich
4 Alimov, Alexey R.
4 Almeida, Ricardo
4 Brandenberg, René
4 de Oliveira, Valeriano Antunes
4 Dmitruk, Andrei V.
4 Fedorov, Alekseĭ Konstantinovich
4 Frankowska, Hélène
4 Gabasov, Rafail
4 Galperin, Efim A.
4 Gamkrelidze, Revaz Valerianovich
4 He, Chan
4 Kar, Tapan Kumar
4 Khachatryan, Rafik Agasievich
4 Kiliçman, Adem
4 Kirillova, Faina Mihaǐlovna
4 Kovrizhnykh, O. O.
4 Krasovskii, Andrey Arsenevich
4 Kryazhimskiĭ, Arkadiĭ Viktorovich
4 Lee, Sunmi
4 Magaril-Il’yaev, Gregoriĭ Geogrievich
4 Marinković, Boban
4 Mirică, Ştefan
4 Moreno, José-Pedro
4 Ovseevich, Aleksandr Iosifovich
4 Piccoli, Benedetto
4 Pushnyakov, Filipp Anatol’evich
4 Pyaderkin, M. M.
4 Reshmin, Sergey A.
4 Samanta, Guru Prasad
4 Shmatkov, A. M.
4 Silva, Cristiana J.
4 Silva, Geraldo Nunes
4 Tóth, Csaba D.
4 Yavin, Yaakov
4 Zuazua, Enrique
3 Açıkmeşe, Behçet
3 Arguillère, Sylvain
3 Avakov, Evgeniĭ Rachievich
3 Banavar, Ravi N.
3 Barilari, Davide
3 Bayen, Térence
3 Belbas, Stavros A.
3 Bezdek, Károly
3 Bourdin, Loïc
3 Buonomo, Bruno
3 Chatterjee, Debasish
3 Chentsov, Aleksandr Georgievich
3 Chowell, Gerardo
3 Chyba, Monique
3 Da Silva Fernandes, Sandro
...and 1,550 more Authors
all top 5

Cited in 286 Serials

52 Journal of Optimization Theory and Applications
49 Proceedings of the Steklov Institute of Mathematics
46 Journal of Mathematical Analysis and Applications
38 Automatica
35 Journal of Computer and Systems Sciences International
34 Journal of Mathematical Sciences (New York)
32 Differential Equations
27 Automation and Remote Control
22 Journal of the Franklin Institute
22 Applied Mathematics and Computation
20 Mathematical Biosciences
20 Mathematical Notes
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Journal of Differential Equations
15 Journal of Applied Mathematics and Mechanics
15 Systems & Control Letters
14 Prikladnaya Matematika i Mekhanika
13 European Journal of Control
13 Doklady Mathematics
12 Discrete & Computational Geometry
11 International Journal of Control
11 SIAM Journal on Control and Optimization
11 Siberian Mathematical Journal
11 Acta Applicandae Mathematicae
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Mathematical and Computer Modelling
10 Computational Mathematics and Modeling
10 European Journal of Operational Research
10 Mathematical Problems in Engineering
9 Computers & Mathematics with Applications
9 Bulletin of Mathematical Biology
9 Beiträge zur Algebra und Geometrie
9 Journal of Dynamical and Control Systems
8 Discrete Mathematics
8 Journal of Computational and Applied Mathematics
8 Journal of Geometry
8 Theoretical Population Biology
8 Computational Geometry
8 Applied Mathematical Modelling
7 Nonlinear Dynamics
7 Journal of Theoretical Biology
6 Israel Journal of Mathematics
6 Ukrainian Mathematical Journal
6 Journal of Approximation Theory
6 Results in Mathematics
6 Optimal Control Applications & Methods
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Optimization
6 Algorithmica
6 Vestnik St. Petersburg University. Mathematics
6 Abstract and Applied Analysis
6 Discrete Dynamics in Nature and Society
6 Computational & Mathematical Methods in Medicine
6 International Journal of Biomathematics
6 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
6 Ural Mathematical Journal
5 Journal of Mathematical Biology
5 Moscow University Mechanics Bulletin
5 Journal of Geometry and Physics
5 Applied Mathematics and Optimization
5 International Journal of Mathematics and Mathematical Sciences
5 Kybernetika
5 Transactions of the American Mathematical Society
5 Moscow University Computational Mathematics and Cybernetics
5 MCSS. Mathematics of Control, Signals, and Systems
5 Computational Mathematics and Mathematical Physics
5 Journal of Applied Mathematics
4 Discrete Applied Mathematics
4 The Mathematical Intelligencer
4 Journal of Combinatorial Theory. Series A
4 Journal of Soviet Mathematics
4 Topology and its Applications
4 Computer Aided Geometric Design
4 Journal of Economic Dynamics & Control
4 Differential Geometry and its Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Regular and Chaotic Dynamics
4 Journal of Biological Dynamics
4 Optimization Letters
4 Nonlinear Analysis. Hybrid Systems
4 Set-Valued and Variational Analysis
3 Acta Mechanica
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal of Systems Science
3 Journal of Computational Physics
3 Physics Letters. A
3 Russian Mathematical Surveys
3 Chaos, Solitons and Fractals
3 Numerical Functional Analysis and Optimization
3 Cybernetics
3 Annals of Operations Research
3 The Journal of Geometric Analysis
3 Journal of Global Optimization
3 Aequationes Mathematicae
3 Sbornik: Mathematics
3 Discrete and Continuous Dynamical Systems
3 European Journal of Mechanics. A. Solids
3 Communications in Nonlinear Science and Numerical Simulation
3 Advances in Difference Equations
3 Discrete Optimization
...and 186 more Serials
all top 5

Cited in 55 Fields

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

Citations by Year

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