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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: Boltyanskij, V. G.; Boltyanski, V.; Boltyanskiĭ, V. G.; Boltyanski, V. G.; Boltyanski, Vladimir; Boltyanskii, V. G.; Boltyansky, V. G.; Boltianski, V.; Boltyanski, Vladimir G.; Boltjanski, W. G.; Boltyanski, W. G.; Boltyanskij, V.; Boltyanskij, Vladimir G.; Boltianski, V. G.; Boltjanski, V. G.; Boltyanskij, Vladimir Grigor’evich; Boltyanskii, Vladimir G.; Boltyanskij, Vladimir; Boltyanskiĭ, V.; Boltjanski, V.; Boltjanski, W.
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Co-Authors

121 single-authored
16 Gamkrelidze, Revaz Valerianovich
14 Martini, Horst
14 Pontryagin, Lev Semënovich
13 Mishchenko, Evgeniĭ Frolovich
13 Soltan, Petru
11 Efremovich, Vadim A.
9 Poznyak, Aleksandr Semënovich
8 Yaglom, Isaak Moiseevich
7 Antonovskij, M. Ja.
7 Gohberg, Israel
5 Aleksandrov, Pavel Sergeevich
5 Baladze, Èmzar Dursunovich
5 Sarymsakov, Tashmukhamed Alievich
4 Chebotaru, I. S.
4 Soltan, Valeriu
3 Chabukiani, T. A.
3 Duncan, Tyrone E.
3 González-Aguilar, Hernán
3 Pasik-Duncan, Bozenna
2 Azhmyakov, Vadim
2 Delone, Boris Nikolaevich
2 Dynkin, Evgeniĭ Borisovich
2 Gnedenko, Boris Vladimirovich
2 Kurosh, Aleksandr Gennad’evich
2 Mirzakhanyan, Eduard A.
2 Morales-Amaya, Efrén
2 Nasritdinov, G.
2 Postnikov, Mikhail Mikhaĭlovich
2 Ryshkov, Sergeĭ Sergeevich
2 Shashkin, Yu. A.
2 Shilov, Georgiĭ Evgen’evich
2 Vilenkin, Naum Yakovlevich
1 Balk, Mark Benevich
1 Bityutskov, V. I.
1 Bodneva, Valeriya L.
1 Castro, Jesús Jerónimo
1 Dikusar, V. V.
1 Dmitruk, Andrei V.
1 Dubnov, Yakov Semënovich
1 Èl’sgol’ts, Lev Èrnestovich
1 Erdős, Pál
1 Essenin-Vol’pin, A. S.
1 Faddeev, Dmitriĭ Konstantinovich
1 Fetissov, A.
1 Gafurov, M. N.
1 Gel’fand, Israil’ Moiseevich
1 Gel’fond, Aleksandr Osipovich
1 Gorelikova, S.
1 Gotskhberg, I. Z.
1 Grünbaum, Branko
1 Ioffe, Alexander Davidovich
1 Kagan, Veniamin Fëdorovich
1 Kazhdan, Ya. M.
1 Khenkin, Gennadiĭ Markovich
1 Khinchin, Aleksandr Yakovlevich
1 Khmelerskij, Yu. I.
1 Kloth, Siegfried
1 Klotzek, Benno
1 Laptev, Boris Lukich
1 Levin, Vladimir L’vovich
1 Linnik, Yuriĭ Vladimirovich
1 Lobachevskiĭ, Nikolaĭ Ivanovich
1 Manin, Yuri Ivanovich
1 Markushevich, Alekseĭ Ivanovich
1 Marti Vazques, J.
1 Nikolaev, L. K.
1 Norden, Aleksandr Petrovich
1 Oleĭnik, Ol’ga Arsen’evna
1 Osmolovskiĭ, Nikolaĭ Pavlovich
1 Perel’man, Ya. I.
1 Rashevskiĭ, Pëtr Konstantinovich
1 Rohrl, Helmut
1 Rojtenberg, E. Ya.
1 Rokhlin, Vladimir Abramovich
1 Rousseau, Cecil C.
1 Rozenfel’d, Boris Abramovich
1 Shabat, Boris Vladimirovich
1 Sigalov, Aleksandr Grigor’evich
1 Sirazhdinov, Sagdy Khasanovich
1 Sklyarenko, E. G.
1 Skopets, Z. A.
1 Soifer, Alexander
1 Stillwell, John C.
1 Tarnove, Ivin
1 Tikhomirov, Vladimir Mikhaĭlovich
1 Turovskaya, M. I.
1 Vitushkin, Anatoliĭ Georgievich
1 Yushkevich, Adol’f Pavlovich
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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 Bibliotechka “Kvant”
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 Iași, New Series
1 Mathematik und ihre Anwendungen in Physik und Technik
1 Systems & Control: Foundations & Applications
1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
1 Classics of Soviet Mathematics
1 Combinatorial Optimization
1 Nonlinear Analysis. Hybrid Systems

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 1,467 times in 1,334 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.
542
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.
112
1961
Time-optimal synthesis for non-linear control systems of second order. Zbl 0249.49010
Boltyanskii, V. G.
105
1967
Excursions into combinatorial geometry. Zbl 0877.52001
Boltyanski, V.; Martini, H.; Soltan, Petru S.
87
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.
82
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.
64
1964
Convex figures. Zbl 0098.35501
Yaglom, I. M.; Boltyanskiĭ, V. G.
62
1961
Geometric methods and optimization problems. Zbl 0933.90002
Boltyanski, V.; Martini, H.; Soltan, V.
47
1999
Sufficient conditions for optimality and the justification of the dynamic programming method. Zbl 0143.32004
Boltyanskiĭ, V. G.
44
1964
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.
19
1975
Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002
Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E.
17
1974
Robust maximum principle in minimax control. Zbl 0943.49017
Boltyansky, V. G.; Poznyak, A. S.
15
1999
On the theory of optimum processes. Zbl 0071.18203
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
15
1956
The robust maximum principle. Theory and applications. Zbl 1239.49002
Boltyanski, Vladimir G.; Poznyak, Alexander S.
12
2012
The maximum principle for variable structure systems. Zbl 1077.93011
Boltyanski, V.
11
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
The method of tents in the theory of extremal problems. Zbl 0318.49017
Boltyanskiĭ, V. G.
11
1975
Robust maximum principle for multi-model LQ-problem. Zbl 1018.49023
Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyanski, V. G.
9
2002
Combinatorial geometry and convexity classes. Zbl 0394.52005
Boltyanskij, V. G.; Soltan, P. S.
8
1978
Linear multi-model time-optimization. Zbl 1072.49501
Boltyanski, V.; Poznyak, A.
7
2002
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
7
1961
Hilbert’s third problem. Translated by Richard A. Silverman and introduced by Albert B. J. Novikoff. Zbl 0388.51001
Boltyanskii, Vladimir G.
7
1978
Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006
Boltyanski, Vladimir; Martini, Horst
6
2006
The dynamic programming approach to multi-model robust optimization. Zbl 1180.49031
Azhmyakov, Vadim; Boltyanski, Vladimir; Poznyak, Alexander
5
2010
Optimale Steuerung diskreter Systeme. Deutsche Übersetzung: P. Aumüller, W. Schmidt. Wissenschaftliche Redaktion: L. Bittner. Zbl 0343.49001
Boltjanski, W. G.
5
1976
Star-shaped sets in normed spaces. Zbl 0847.52003
Boltyanski, V.; Martini, H.; Soltan, P. S.
5
1996
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
Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
5
1960
Combinatorial geometry of belt bodies. Zbl 0853.52004
Boltyanski, V.; Martini, H.
4
1995
Illumination of direct vector sums of convex bodies. Zbl 1164.52004
Boltyanski, Vladimir; Martini, Horst
4
2007
An optimization problem with change of the phase space. Zbl 0529.49012
Boltyanskij, V. G.
4
1983
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.
4
2001
Helly’s theorem for H-convex sets. Zbl 0342.52011
Boltyanskij, V. G.
3
1976
Commande optimale des systèmes discrets. Traduit du russe par A. Sossinski. Zbl 0363.49001
Boltianski, V.
3
1976
Das Borsuksche Problem. Zbl 0368.52010
Boltyanskij, V. G.; Soltan, V. P.
3
1977
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
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
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.
3
1992
Konvexe Figuren. Zbl 0070.17502
Yaglom, I. M.; Boltjanski, W. G.
3
1956
The maximum principle in the theory of optimum processes. Zbl 0081.34702
Boltyanskij, V. G.
3
1958
Mathematische Theorie optimaler Prozesse. Zbl 0115.09001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1964
Envelopes. Zbl 0126.37102
Boltyanskij, V.
3
1964
Solution of the illumination problem for bodies with md \(M=2\). Zbl 1027.52002
Boltyanski, V.
3
2001
The envelope. (La envolvente.) Translated from the Russian by V. Llanos Mas. Zbl 0381.53001
Boltianski, V. G.
2
1977
On certain classes of convex sets. Zbl 0342.52010
Boltyanskij, V. G.
2
1976
A new point of view on linear controlled objects. Zbl 0951.49026
Boltyanskii, V. G.
2
1996
Fixing and hindering systems in combinatorial geometry. Zbl 0962.52001
Boltyanski, V.; Martini, H.
2
1999
Solution of Hadwiger’s problem for a class of convex bodies. Zbl 0737.52003
Boltyanskij, V. G.; Soltan, P. S.
2
1990
On the intersection of local tents. Zbl 0316.53010
Boltyanskij, V. G.
2
1974
Stories about covering and illuminating of convex bodies. Zbl 0896.52023
Boltyanski, V.; Gohberg, I.
2
1995
Robust maximum principle for a measured space as uncertainty set. Zbl 1033.49035
Boltyanski, V. G.; Poznyak, A. S.
2
2002
Hindering systems for convex bodies. Zbl 0888.52006
Boltyanskij, V. G.
2
1997
Results and problems in combinatorial geometry. Transl. from the Russian. Zbl 0567.52007
Boltyanskij, V. G.; Gokhberg, I. Ts.
2
1985
Covering belt bodies by smaller homothetical copies. Zbl 0996.52015
Boltyanski, Vladimir; Martini, Horst
2
2001
Minkowski addition of \(H\)-convex sets and related Helly-type theorems. Zbl 1049.52001
Boltyanski, V.; Martini, H.
2
2003
Geometry of masses. (Geometriya mass). Zbl 0661.70001
Balk, M. B.; Boltyanskij, V. G.
2
1987
Methode der lokalen Schnitte in der Theorie der optimalen Prozesse. Zbl 0174.40703
Boltyanskij, V. G.
2
1968
Mathematical methods of optimal control. Zbl 0213.15504
Boltyanskij, V. G.
2
1971
On Grünbaum’s conjecture about inner illumination of convex bodies. Zbl 0940.52004
Boltyanski, V.; Martini, H.; Soltan, V.
2
1999
Jung’s theorem and \(H\)-convexity. Zbl 1272.52010
Boltyanskiĭ, V.; Dol’nikov, V.
1
2005
The century of Hilbert’s third problem. Zbl 1229.52001
Boltyanskiĭ, V. G.
1
2004
Centrally symmetric convex sets. Zbl 1146.52001
Boltyanski, V. G.; Castro, J. Jerónimo
1
2007
Illumination of direct sums of two convex figures. Zbl 1126.52002
Baladze, E. D.; Boltyanski, V. G.
1
2006
Generalization of a theorem of B. Sz.-Nagy. Zbl 0359.52008
Boltyanskij, V. G.
1
1976
Cardinalities of primitive fixing systems for convex bodies. Zbl 0956.52001
Boltyanski, V.; Morales Amaya, E.
1
2000
Solutions to the lighting problem for zone bodies. Zbl 0856.52014
Boltyanskij, V. G.
1
1995
Separability of \(H\)-convex sets. Zbl 1078.52001
Boltyanski, V.; Martini, H.
1
2005
Separation of convex cones and extremal problems. Zbl 1095.49018
Boltyanski, V. G.
1
2005
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 solution of the Szökefalvi-Nagy problem for three-dimensional convex bodies. Zbl 0586.52006
Boltyanskij, V. G.; Chabukiani, T. A.
1
1984
Separation of a system of convex cones in a topological vector space. Zbl 0596.52004
Boltyanskij, V. G.
1
1985
Descriptive topology. (Naglyadnaya topologiya). Pod red. S. P. Novikova. Zbl 0606.57001
Boltyanskij, V. G.; Efremovich, V. A.
1
1982
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
Über die dimensionelle Vollwertigkeit der Kompakten. Zbl 0037.09801
Boltyanskij, V. G.
1
1949
Homotopy theory of continuous mappings and of vector fields. Zbl 0079.16904
Boltyanskij, V. G.
1
1957
Homotopy classification of cross sections. Zbl 0082.16603
Boltyanskiĭ, V. G.
1
1958
On the fundamental concepts of algebraic topology. Zbl 0097.16001
Boltyanskij, V. G.; Postnikov, M. M.
1
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
Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1964
Metric spaces over semifields. (Metrische Räume über Halbkörpern.) Zbl 0142.21001
Antonovskiĭ, M. Ya.; Boltyanskiĭ, V. G.; Sarymsakov, T. A.
1
1961
Symmetry in algebra. (Симметрия в алгебре) (Symmetrie in der Algebra.) Zbl 0159.34201
Boltyanskiĭ, V. G.; Vilenkin, N. Ya.
1
1967
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1969
Über die Zerlegung von ebenen Figuren in Teile von kleinerem Durchmesser. Zbl 0198.27102
Boltyanskij, V. G.
1
1970
Tikhonov semifields and certain problems in general topology. Zbl 0213.49204
Antonovskij, M. Ya.; Boltyanskij, V. G.
1
1970
Some results and some problems of the Boolean algebras theory. Zbl 0222.06009
Boltjanski, V. G.
1
1969
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
Separability axioms and a metric. Zbl 0224.54018
Boltyanskij, V. G.
1
1971
Topology. I. II. Zbl 0229.54002
Yefremovich, V. A.; Boltyanskij, V. G.
1
1959
Illumination from within of the boundary of a convex body. Zbl 0251.52006
Boltyanskij, V. G.; Soltan, P. S.
1
1972
Das Stützpunktprinzip in Problemen der optimalen Steuerung. Zbl 0265.49018
Boltyanskij, V. G.
1
1973
Optimale Steuerung diskreter Systeme. (Optimal’noe upravlenie diskretnymi sistemami.). Zbl 0268.49017
Boltyanskij, V. G.
1
1973
Maximal primitive fixing systems for convex figures. Zbl 1051.52001
Boltyanski, Vladimir; González-Aguilar, Hernán
1
2003
Solution of the illumination problem for three-dimensional convex bodies. Zbl 1052.52001
Boltyanskij, V. G.
1
2000
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
Centrally symmetric convex sets. Zbl 1146.52001
Boltyanski, V. G.; Castro, J. Jerónimo
1
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
Jung’s theorem and \(H\)-convexity. Zbl 1272.52010
Boltyanskiĭ, V.; Dol’nikov, V.
1
2005
Separability of \(H\)-convex sets. Zbl 1078.52001
Boltyanski, V.; Martini, H.
1
2005
Separation of convex cones and extremal problems. Zbl 1095.49018
Boltyanski, V. G.
1
2005
The maximum principle for variable structure systems. Zbl 1077.93011
Boltyanski, V.
11
2004
The century of Hilbert’s third problem. Zbl 1229.52001
Boltyanskiĭ, V. G.
1
2004
Minkowski addition of \(H\)-convex sets and related Helly-type theorems. Zbl 1049.52001
Boltyanski, V.; Martini, H.
2
2003
Maximal primitive fixing systems for convex figures. Zbl 1051.52001
Boltyanski, Vladimir; González-Aguilar, Hernán
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.
9
2002
Linear multi-model time-optimization. Zbl 1072.49501
Boltyanski, V.; Poznyak, A.
7
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.
2
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.
4
2001
Solution of the illumination problem for bodies with md \(M=2\). Zbl 1027.52002
Boltyanski, V.
3
2001
Covering belt bodies by smaller homothetical copies. Zbl 0996.52015
Boltyanski, Vladimir; Martini, Horst
2
2001
Cardinalities of primitive fixing systems for convex bodies. Zbl 0956.52001
Boltyanski, V.; Morales Amaya, E.
1
2000
Solution of the illumination problem for three-dimensional convex bodies. Zbl 1052.52001
Boltyanskij, V. G.
1
2000
Geometric methods and optimization problems. Zbl 0933.90002
Boltyanski, V.; Martini, H.; Soltan, V.
47
1999
Robust maximum principle in minimax control. Zbl 0943.49017
Boltyansky, V. G.; Poznyak, A. S.
15
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.
87
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.
4
1995
Stories about covering and illuminating of convex bodies. Zbl 0896.52023
Boltyanski, V.; Gohberg, I.
2
1995
Solutions to the lighting problem for zone bodies. Zbl 0856.52014
Boltyanskij, V. G.
1
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.
3
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.
82
1983
An optimization problem with change of the phase space. Zbl 0529.49012
Boltyanskij, V. G.
4
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
Das Borsuksche Problem. Zbl 0368.52010
Boltyanskij, V. G.; Soltan, V. P.
3
1977
The envelope. (La envolvente.) Translated from the Russian by V. Llanos Mas. Zbl 0381.53001
Boltianski, V. G.
2
1977
Optimale Steuerung diskreter Systeme. Deutsche Übersetzung: P. Aumüller, W. Schmidt. Wissenschaftliche Redaktion: L. Bittner. Zbl 0343.49001
Boltjanski, W. G.
5
1976
Helly’s theorem for H-convex sets. Zbl 0342.52011
Boltyanskij, V. G.
3
1976
Commande optimale des systèmes discrets. Traduit du russe par A. Sossinski. Zbl 0363.49001
Boltianski, V.
3
1976
On certain classes of convex sets. Zbl 0342.52010
Boltyanskij, V. G.
2
1976
Generalization of a theorem of B. Sz.-Nagy. Zbl 0359.52008
Boltyanskij, V. G.
1
1976
The method of tents in the theory of extremal problems. Zbl 0334.49014
Boltyanskij, V. G.
19
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.
17
1974
On the intersection of local tents. Zbl 0316.53010
Boltyanskij, V. G.
2
1974
Das Stützpunktprinzip in Problemen der optimalen Steuerung. Zbl 0265.49018
Boltyanskij, V. G.
1
1973
Optimale Steuerung diskreter Systeme. (Optimal’noe upravlenie diskretnymi sistemami.). Zbl 0268.49017
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.
2
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
Separability axioms and a metric. Zbl 0224.54018
Boltyanskij, V. G.
1
1971
Über die Zerlegung von ebenen Figuren in Teile von kleinerem Durchmesser. Zbl 0198.27102
Boltyanskij, V. G.
1
1970
Tikhonov semifields and certain problems in general topology. Zbl 0213.49204
Antonovskij, M. Ya.; Boltyanskij, V. G.
1
1970
Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1969
Some results and some problems of the Boolean algebras theory. Zbl 0222.06009
Boltjanski, V. G.
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.
105
1967
Symmetry in algebra. (Симметрия в алгебре) (Symmetrie in der Algebra.) Zbl 0159.34201
Boltyanskiĭ, V. G.; Vilenkin, N. Ya.
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.
64
1964
Sufficient conditions for optimality and the justification of the dynamic programming method. Zbl 0143.32004
Boltyanskiĭ, V. G.
44
1964
Mathematische Theorie optimaler Prozesse. Zbl 0115.09001
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
3
1964
Envelopes. Zbl 0126.37102
Boltyanskij, V.
3
1964
Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802
Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
1
1964
The mathematical theory of optimal processes. Authorized translation from the Russian. Translator: K. N. Trirogoff. Editor: L. W. Neustadt. Zbl 0102.32001
Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F.
542
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.
112
1961
Convex figures. Zbl 0098.35501
Yaglom, I. M.; Boltyanskiĭ, V. G.
62
1961
The theory of optimal processes. I: The maximum principle. Zbl 0098.29404
Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S.
7
1961
Metric spaces over semifields. (Metrische Räume über Halbkörpern.) Zbl 0142.21001
Antonovskiĭ, M. Ya.; Boltyanskiĭ, 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.
5
1960
On the fundamental concepts of algebraic topology. Zbl 0097.16001
Boltyanskij, V. G.; Postnikov, M. M.
1
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
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.
15
1956
Konvexe Figuren. Zbl 0070.17502
Yaglom, I. M.; Boltjanski, W. G.
3
1956
Über die dimensionelle Vollwertigkeit der Kompakten. Zbl 0037.09801
Boltyanskij, V. G.
1
1949
all top 5

Cited by 1,713 Authors

25 Martini, Horst
21 Bortakovskii, A. S.
20 Sachkov, Yuriĭ Leonidovich
19 Boltyanskij, Vladimir Grigor’evich
18 Schättler, Heinz Michael
17 Poznyak, Aleksandr Semënovich
16 Bonnard, Bernard
14 Aseev, Sergei M.
14 Azhmyakov, Vadim
14 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich
13 Danilin, Alekseĭ Rufimovich
13 Khailov, Evgenii N.
13 Trélat, Emmanuel
12 Rachik, Mostafa
12 Subbotina, Nina N.
11 Chernous’ko, Feliks Leonidovich
11 Ledzewicz, Urszula
10 Arutyunov, Aram Vladimirovic
10 Karamzin, Dmitry Yu.
10 Orlov, Mikhail V.
10 Zachos, Anastasios N.
9 Kalinin, Anatoly I.
9 Mordukhovich, Boris S.
9 Spirova, Margarita Georgieva
9 Torres, Delfim Fernando Marado
8 Ardentov, Andrei A.
8 Nikol’skiĭ, Mikhaĭl Sergeevich
8 Taras’ev, Aleksandr Mikhaĭlovich
8 Zeidan, Vera Michel
7 Balatif, Omar
7 Dumitrescu, Adrian
7 Kouidere, Abdelfatah
7 Šimon Hilscher, Roman
6 Agrachev, Andreĭ Aleksandrovich
6 Akulenko, Leonid Denisovich
6 Ayala, Victor
6 Bourdin, Loïc
6 Jana, Soovoojeet
6 Levskii, M. V.
6 Mardanov, Misir Dzhumail ogly
6 Orlov, Sergey M.
6 Podobryaev, Alekseĭ V.
6 Shaburov, Aleksandr Aleksandrovich
6 Shmatkov, A. M.
6 Wu, Senlin
5 Barbero-Liñán, María
5 Basin, Michael V.
5 Boscain, Ugo
5 Brandenberg, René
5 Frankowska, Hélène
5 Kar, Tapan Kumar
5 Khachatryan, Rafik Agasievich
5 Kovrizhnykh, O. O.
5 Lobo Pereira, Fernando
5 Morzhin, Oleg Vasil’evich
5 Piccoli, Benedetto
5 Silva, Geraldo Nunes
5 Swanepoel, Konrad J.
5 Tokmantsev, Timofeĭ Borisovich
4 Alimov, Alexey R.
4 Bezdek, Károly
4 de Oliveira, Valeriano Antunes
4 Dmitruk, Andrei V.
4 Fedorov, Alekseĭ Konstantinovich
4 Galperin, Efim A.
4 Gamkrelidze, Revaz Valerianovich
4 Grigorenko, Nikolaĭ Leont’evich
4 Grigorieva, Ellina V.
4 He, Chan
4 Houska, Boris
4 Jiang, Minghui
4 Kiliçman, Adem
4 Kirillova, Faina Mihaǐlovna
4 Kiselev, Yuri N.
4 Krasovskii, Andrey Arsenevich
4 Kryazhimskiĭ, Arkadiĭ Viktorovich
4 Lángi, Zsolt
4 Lavrinovich, L. I.
4 Lee, Sunmi
4 Magaril-Il’yaev, Gregoriĭ Geogrievich
4 Mahmudov, Elimhan Nadir
4 Malik, Samin T.
4 Marinković, Boban
4 Mirică, Ştefan
4 Molodenkov, Alekseĭ Vladimirovich
4 Moreno, José-Pedro
4 Ovseevich, Aleksandr Iosifovich
4 Pechen, Alexander Nikolaevich
4 Pushnyakov, Filipp Anatol’evich
4 Pyaderkin, M. M.
4 Reshmin, Sergey A.
4 Samanta, Guru Prasad
4 Sapunkov, Yakov Grigor’evich
4 Yavin, Yaakov
3 Ahmed, Nasir Uddin
3 Aldila, Dipo
3 Almeida, Ricardo
3 Arguillère, Sylvain
3 Avakov, Evgeniĭ Rachievich
3 Banavar, Ravi N.
...and 1,613 more Authors
all top 5

Cited in 304 Serials

59 Proceedings of the Steklov Institute of Mathematics
54 Journal of Optimization Theory and Applications
44 Journal of Mathematical Analysis and Applications
41 Journal of Computer and Systems Sciences International
36 Journal of Mathematical Sciences (New York)
34 Automatica
33 Differential Equations
30 Automation and Remote Control
30 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Mathematical Notes
20 Journal of the Franklin Institute
20 Applied Mathematics and Computation
19 Mathematical Biosciences
18 Journal of Differential Equations
17 SIAM Journal on Control and Optimization
17 Systems & Control Letters
15 Journal of Applied Mathematics and Mechanics
15 Doklady Mathematics
14 Prikladnaya Matematika i Mekhanika
13 Chaos, Solitons and Fractals
12 International Journal of Control
12 Siberian Mathematical Journal
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Acta Applicandae Mathematicae
11 Discrete & Computational Geometry
11 Computational Mathematics and Modeling
10 European Journal of Operational Research
10 Mathematical Problems in Engineering
10 Journal of Dynamical and Control Systems
9 Discrete Mathematics
9 Bulletin of Mathematical Biology
9 Beiträge zur Algebra und Geometrie
9 Computational Geometry
8 Journal of Geometry
7 Computers & Mathematics with Applications
7 Journal of Mathematical Biology
7 Ukrainian Mathematical Journal
7 Journal of Computational and Applied Mathematics
7 Results in Mathematics
7 Optimization
7 Applied Mathematical Modelling
7 European Journal of Control
7 Nonlinear Dynamics
7 Discrete Dynamics in Nature and Society
7 Mathematical Modelling of Natural Phenomena
7 International Journal of Biomathematics
6 Israel Journal of Mathematics
6 Moscow University Mechanics Bulletin
6 Theoretical Population Biology
6 Transactions of the American Mathematical Society
6 Optimal Control Applications & Methods
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Algorithmica
6 Mathematical and Computer Modelling
6 MCSS. Mathematics of Control, Signals, and Systems
6 Computational Mathematics and Mathematical Physics
6 Vestnik St. Petersburg University. Mathematics
6 Abstract and Applied Analysis
6 Computational & Mathematical Methods in Medicine
6 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
6 Ural Mathematical Journal
5 Journal of Geometry and Physics
5 Applied Mathematics and Optimization
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Approximation Theory
5 Journal of Combinatorial Theory. Series A
5 Kybernetika
5 Moscow University Computational Mathematics and Cybernetics
5 Journal of Applied Mathematics
5 Journal of Biological Dynamics
5 Optimization Letters
5 Nonlinear Analysis. Hybrid Systems
5 Journal of Theoretical Biology
4 The Mathematical Intelligencer
4 Journal of Soviet Mathematics
4 Mathematics and Computers in Simulation
4 Numerical Functional Analysis and Optimization
4 Topology and its Applications
4 Differential Geometry and its Applications
4 Regular and Chaotic Dynamics
4 Communications in Nonlinear Science and Numerical Simulation
4 Advances in Difference Equations
4 Set-Valued and Variational Analysis
4 Games
4 Numerical Algebra, Control and Optimization
3 Acta Mechanica
3 Computer Methods in Applied Mechanics and Engineering
3 Discrete Applied Mathematics
3 International Journal of Systems Science
3 Problems of Information Transmission
3 Russian Mathematical Surveys
3 Proceedings of the American Mathematical Society
3 Cybernetics
3 Computer Aided Geometric Design
3 Journal of Economic Dynamics & Control
3 Annals of Operations Research
3 The Journal of Geometric Analysis
3 Journal of Global Optimization
3 Aequationes Mathematicae
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
...and 204 more Serials
all top 5

Cited in 55 Fields

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

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