Edit Profile Boltyanskij, Vladimir Grigor’evich Compute Distance To: Compute Author ID: boltyanskij.vladimir-grigorevich 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 Co-Authors 125 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 7 Antonovskij, M. Ja. 5 Baladze, Èmzar Dursunovich 5 Gohberg, Israel 5 Sarymsakov, Tashmukhamed Alievich 5 Yaglom, Isaak Moiseevich 4 Chebotaru, I. S. 4 Soltan, Valeriu 3 Chabukiani, T. A. 3 Duncan, Tyrone E. 3 González-Aguilar, Hernán 3 Pasik-Duncan, Bozenna 2 Aleksandrov, Pavel Sergeevich 2 Azhmyakov, Vadim 2 Dynkin, Evgeniĭ Borisovich 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 Dol’nikov, Vladimir L. 1 Dubnov, Yakov Semënovich 1 Fetissov, A. 1 Gafurov, M. N. 1 Gel’fand, Israil’ Moiseevich 1 Gnedenko, Boris Vladimirovich 1 Gojberg, I. C. 1 Gorelikova, S. 1 Gotskhberg, I. Z. 1 Ioffe, Alexander Davidovich 1 Kazhdan, Ya. M. 1 Khenkin, Gennadiĭ Markovich 1 Levin, Vladimir L’vovich 1 Marti Vazques, J. 1 Nikolaev, L. K. 1 Osmolovskiĭ, Nikolaĭ Pavlovich 1 Rojtenberg, E. Ya. 1 Sirazhdinov, Sagdy Khasanovich 1 Soifer, Alexander 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Yushkevich, Adol’f Pavlovich 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 all top 5 Fields 67 Convex and discrete geometry (52-XX) 64 Calculus of variations and optimal control; optimization (49-XX) 26 Systems theory; control (93-XX) 18 Operations research, mathematical programming (90-XX) 12 Relativity and gravitational theory (83-XX) 11 History and biography (01-XX) 10 Combinatorics (05-XX) 9 General topology (54-XX) 9 Algebraic topology (55-XX) 8 Geometry (51-XX) 7 Mechanics of particles and systems (70-XX) 6 General and overarching topics; collections (00-XX) 6 Ordinary differential equations (34-XX) 6 Functional analysis (46-XX) 6 Differential geometry (53-XX) 6 Manifolds and cell complexes (57-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications 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 0102.32001Pontryagin, 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 0249.49010Boltyanskii, V. G. 109 1967 The mathematical theory of optimal processes. Zbl 0102.31901Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 81 1961 Excursions into combinatorial geometry. Zbl 0877.52001Boltyanski, V.; Martini, H.; Soltan, Petru S. 79 1997 The mathematical theory of optimal processes. (Matematicheskaya teoriya optimal’nykh protsessov). 4th ed. Zbl 0516.49001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 78 1983 The mathematical theory of optimal processes. Translated from the Russian by D.E.Brown. Zbl 0117.31702Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 67 1964 Convex figures. Zbl 0098.35501Yaglom, I. M.; Boltyanskiĭ, V. G. 63 1961 Geometric methods and optimization problems. Zbl 0933.90002Boltyanski, V.; Martini, H.; Soltan, V. 44 1999 Sufficient conditions for optimality and the justification of the dynamic programming method. Zbl 0143.32004Boltyanskiĭ, V. G. 43 1964 Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E. 20 1974 Optimal control of impulsive hybrid systems. Zbl 1163.49038Azhmyakov, V.; Boltyanski, V. G.; Poznyak, A. 19 2008 The method of tents in the theory of extremal problems. Zbl 0334.49014Boltyanskij, V. G. 18 1975 Robust maximum principle in minimax control. Zbl 0943.49017Boltyansky, V. G.; Poznyak, A. S. 13 1999 On the theory of optimum processes. Zbl 0071.18203Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 13 1956 The robust maximum principle. Theory and applications. Zbl 1239.49002Boltyanski, 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 0882.01027Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 11 1986 The method of tents in the theory of extremal problems. Zbl 0318.49017Boltyanskiĭ, V. G. 11 1975 The maximum principle for variable structure systems. Zbl 1077.93011Boltyanski, V. 8 2004 Robust maximum principle for multi-model LQ-problem. Zbl 1018.49023Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyanski, V. G. 8 2002 Combinatorial geometry and convexity classes. Zbl 0394.52005Boltyanskij, V. G.; Soltan, P. S. 8 1978 Hilbert’s third problem. Translated by Richard A. Silverman and introduced by Albert B. J. Novikoff. Zbl 0388.51001Boltyanskii, Vladimir G. 7 1978 The theory of optimal processes. I: The maximum principle. Zbl 0098.29404Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 7 1961 Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006Boltyanski, Vladimir; Martini, Horst 6 2006 Linear multi-model time-optimization. Zbl 1072.49501Boltyanski, V.; Poznyak, A. 6 2002 Optimale Steuerung diskreter Systeme. Deutsche Übersetzung: P. Aumüller, W. Schmidt. Wissenschaftliche Redaktion: L. Bittner. Zbl 0343.49001Boltjanski, W. G. 6 1976 Envelopes. Zbl 0126.37102Boltyanskij, V. 6 1964 The dynamic programming approach to multi-model robust optimization. Zbl 1180.49031Azhmyakov, Vadim; Boltyanski, Vladimir; Poznyak, Alexander 5 2010 Robust stochastic maximum principle for multi-model worst case optimization. Zbl 1054.93054Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G. 5 2002 Star-shaped sets in normed spaces. Zbl 0847.52003Boltyanski, V.; Martini, H.; Soltan, P. S. 5 1996 Mathematical methods of optimal control. Zbl 0213.15504Boltyanskij, V. G. 5 1971 Illumination of direct vector sums of convex bodies. Zbl 1164.52004Boltyanski, Vladimir; Martini, Horst 4 2007 Carathéodory’s theorem and \(H\)-convexity. Zbl 0976.52007Boltyanski, V.; Martini, H. 4 2001 Konvexe Figuren. Zbl 0070.17502Yaglom, I. M.; Boltjanski, W. G. 4 1956 Robust optimal control for minimax stochastic linear quadratic problem. Zbl 1055.93076Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G. 3 2002 Robust maximum principle for a measured space as uncertainty set. Zbl 1033.49035Boltyanski, V. G.; Poznyak, A. S. 3 2002 Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems. Zbl 1021.49017Boltyanski, V. 3 2001 Combinatorial geometry of belt bodies. Zbl 0853.52004Boltyanski, V.; Martini, H. 3 1995 A new step in the solution of the Szökefalvi-Nagy problem. Zbl 0756.52009Boltyanski, Vladimir G. 3 1992 Combinatorial geometry of various classes of convex sets. (Kombinatornaya geometriya razlichnykh klassov vypuklykh mnozhestv). Zbl 0528.52002Boltyanskij, V. G.; Soltan, P. S. 3 1978 Commande optimale des systèmes discrets. Traduit du russe par A. Sossinski. Zbl 0363.49001Boltianski, V. 3 1976 Helly’s theorem for H-convex sets. Zbl 0342.52011Boltyanskij, V. G. 3 1976 Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 3 1964 Mathematische Theorie optimaler Prozesse. Zbl 0115.09001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 3 1964 Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 3 1960 The maximum principle in the theory of optimum processes. Zbl 0081.34702Boltyanskij, V. G. 3 1958 Solution of the illumination problem for bodies with md \(M=2\). Zbl 1027.52002Boltyanski, V. 2 2001 Fixing and hindering systems in combinatorial geometry. Zbl 0962.52001Boltyanski, V.; Martini, H. 2 1999 On Grünbaum’s conjecture about inner illumination of convex bodies. Zbl 0940.52004Boltyanski, V.; Martini, H.; Soltan, V. 2 1999 Hindering systems for convex bodies. Zbl 0888.52006Boltyanskij, V. G. 2 1997 A new point of view on linear controlled objects. Zbl 0951.49026Boltyanskii, V. G. 2 1996 Stories about covering and illuminating of convex bodies. Zbl 0896.52023Boltyanski, V.; Gohberg, I. 2 1995 A solution of Hadwiger’s covering problem for zonoids. Zbl 0768.52004Boltjanski, V. G.; Soltan, P. S. 2 1992 Solution of Hadwiger’s problem for a class of convex bodies. Zbl 0737.52003Boltyanskij, V. G.; Soltan, P. S. 2 1990 Geometry of masses. (Geometriya mass). Zbl 0661.70001Balk, M. B.; Boltyanskij, V. G. 2 1987 Results and problems in combinatorial geometry. Transl. from the Russian. Zbl 0567.52007Boltyanskij, V. G.; Gokhberg, I. Ts. 2 1985 An optimization problem with change of the phase space. Zbl 0529.49012Boltyanskij, V. G. 2 1983 The envelope. (La envolvente.) Translated from the Russian by V. Llanos Mas. Zbl 0381.53001Boltianski, V. G. 2 1977 Das Borsuksche Problem. Zbl 0368.52010Boltyanskij, V. G.; Soltan, V. P. 2 1977 On the intersection of local tents. Zbl 0316.53010Boltyanskij, V. G. 2 1974 Methode der lokalen Schnitte in der Theorie der optimalen Prozesse. Zbl 0174.40703Boltyanskij, V. G. 2 1968 Illumination of direct sums of two convex figures. Zbl 1126.52002Baladze, E. D.; Boltyanski, V. G. 1 2006 Separation of convex cones and extremal problems. Zbl 1095.49018Boltyanski, V. G. 1 2005 Separability of \(H\)-convex sets. Zbl 1078.52001Boltyanski, V.; Martini, H. 1 2005 The century of Hilbert’s third problem. Zbl 1229.52001Boltyanskiĭ, V. G. 1 2004 Maximal primitive fixing systems for convex figures. Zbl 1051.52001Boltyanski, Vladimir; González-Aguilar, Hernán 1 2003 Minkowski addition of \(H\)-convex sets and related Helly-type theorems. Zbl 1049.52001Boltyanski, V.; Martini, H. 1 2003 Covering belt bodies by smaller homothetical copies. Zbl 0996.52015Boltyanski, Vladimir; Martini, Horst 1 2001 Solution of the illumination problem for three-dimensional convex bodies. Zbl 1052.52001Boltyanskij, V. G. 1 2000 Cardinalities of primitive fixing systems for convex bodies. Zbl 0956.52001Boltyanski, V.; Morales Amaya, E. 1 2000 Minimal fixing systems for convex bodies. Zbl 0867.52002Boltyanski, V. G.; Morales Amaya, E. 1 1995 Tent method in optimal control theory. Zbl 0812.49013Boltyanski, 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 0727.52001Boltyanskij, Vladimir; Soifer, Alexander 1 1991 Separation of a system of convex cones in a topological vector space. Zbl 0596.52004Boltyanskij, V. G. 1 1985 A solution of the Szökefalvi-Nagy problem for three-dimensional convex bodies. Zbl 0586.52006Boltyanskij, V. G.; Chabukiani, T. A. 1 1984 Descriptive topology. (Naglyadnaya topologiya). Pod red. S. P. Novikova. Zbl 0606.57001Boltyanskij, V. G.; Efremovich, V. A. 1 1982 Generalization of a theorem of B. Sz.-Nagy. Zbl 0359.52008Boltyanskij, V. G. 1 1976 On certain classes of convex sets. Zbl 0342.52010Boltyanskij, V. G. 1 1976 Optimale Steuerung diskreter Systeme. (Optimal’noe upravlenie diskretnymi sistemami.). Zbl 0268.49017Boltyanskij, V. G. 1 1973 Das Stützpunktprinzip in Problemen der optimalen Steuerung. Zbl 0265.49018Boltyanskij, V. G. 1 1973 Illumination from within of the boundary of a convex body. Zbl 0251.52006Boltyanskij, V. G.; Soltan, P. S. 1 1972 Separability axioms and a metric. Zbl 0224.54018Boltyanskij, 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 0223.49001Boltyanski, W. G. 1 1971 Über die Zerlegung von ebenen Figuren in Teile von kleinerem Durchmesser. Zbl 0198.27102Boltyanskij, V. G. 1 1970 Some results and some problems of the Boolean algebras theory. Zbl 0222.06009Boltjanski, V. G. 1 1969 Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001Pontryagin, 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 0148.07504Pontryagin, 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 0133.31102Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A. 1 1963 Metrische Räume über Halbkörpern. Zbl 0142.21001Antonovskij, 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 0122.30703Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A. 1 1960 On the fundamental concepts of algebraic topology. Zbl 0097.16001Boltyanskij, V. G.; Postnikov, M. M. 1 1960 Topology. I. II. Zbl 0229.54002Yefremovich, V. A.; Boltyanskij, V. G. 1 1959 Homotopy classification of cross sections. Zbl 0082.16603Boltyanskiĭ, V. G. 1 1958 Homotopy theory of continuous mappings and of vector fields. Zbl 0079.16904Boltyanskij, V. G. 1 1957 Über die dimensionelle Vollwertigkeit der Kompakten. Zbl 0037.09801Boltyanskij, V. G. 1 1949 The robust maximum principle. Theory and applications. Zbl 1239.49002Boltyanski, Vladimir G.; Poznyak, Alexander S. 12 2012 The dynamic programming approach to multi-model robust optimization. Zbl 1180.49031Azhmyakov, Vadim; Boltyanski, Vladimir; Poznyak, Alexander 5 2010 Optimal control of impulsive hybrid systems. Zbl 1163.49038Azhmyakov, V.; Boltyanski, V. G.; Poznyak, A. 19 2008 Illumination of direct vector sums of convex bodies. Zbl 1164.52004Boltyanski, Vladimir; Martini, Horst 4 2007 Jung’s theorem for a pair of Minkowski spaces. Zbl 1151.52006Boltyanski, Vladimir; Martini, Horst 6 2006 Illumination of direct sums of two convex figures. Zbl 1126.52002Baladze, E. D.; Boltyanski, V. G. 1 2006 Separation of convex cones and extremal problems. Zbl 1095.49018Boltyanski, V. G. 1 2005 Separability of \(H\)-convex sets. Zbl 1078.52001Boltyanski, V.; Martini, H. 1 2005 The maximum principle for variable structure systems. Zbl 1077.93011Boltyanski, V. 8 2004 The century of Hilbert’s third problem. Zbl 1229.52001Boltyanskiĭ, V. G. 1 2004 Maximal primitive fixing systems for convex figures. Zbl 1051.52001Boltyanski, Vladimir; González-Aguilar, Hernán 1 2003 Minkowski addition of \(H\)-convex sets and related Helly-type theorems. Zbl 1049.52001Boltyanski, V.; Martini, H. 1 2003 Robust maximum principle for multi-model LQ-problem. Zbl 1018.49023Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyanski, V. G. 8 2002 Linear multi-model time-optimization. Zbl 1072.49501Boltyanski, V.; Poznyak, A. 6 2002 Robust stochastic maximum principle for multi-model worst case optimization. Zbl 1054.93054Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G. 5 2002 Robust optimal control for minimax stochastic linear quadratic problem. Zbl 1055.93076Poznyak, A. S.; Duncan, T. E.; Pasik-Duncan, B.; Boltyansky, V. G. 3 2002 Robust maximum principle for a measured space as uncertainty set. Zbl 1033.49035Boltyanski, V. G.; Poznyak, A. S. 3 2002 Carathéodory’s theorem and \(H\)-convexity. Zbl 0976.52007Boltyanski, V.; Martini, H. 4 2001 Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems. Zbl 1021.49017Boltyanski, V. 3 2001 Solution of the illumination problem for bodies with md \(M=2\). Zbl 1027.52002Boltyanski, V. 2 2001 Covering belt bodies by smaller homothetical copies. Zbl 0996.52015Boltyanski, Vladimir; Martini, Horst 1 2001 Solution of the illumination problem for three-dimensional convex bodies. Zbl 1052.52001Boltyanskij, V. G. 1 2000 Cardinalities of primitive fixing systems for convex bodies. Zbl 0956.52001Boltyanski, V.; Morales Amaya, E. 1 2000 Geometric methods and optimization problems. Zbl 0933.90002Boltyanski, V.; Martini, H.; Soltan, V. 44 1999 Robust maximum principle in minimax control. Zbl 0943.49017Boltyansky, V. G.; Poznyak, A. S. 13 1999 Fixing and hindering systems in combinatorial geometry. Zbl 0962.52001Boltyanski, V.; Martini, H. 2 1999 On Grünbaum’s conjecture about inner illumination of convex bodies. Zbl 0940.52004Boltyanski, V.; Martini, H.; Soltan, V. 2 1999 Excursions into combinatorial geometry. Zbl 0877.52001Boltyanski, V.; Martini, H.; Soltan, Petru S. 79 1997 Hindering systems for convex bodies. Zbl 0888.52006Boltyanskij, V. G. 2 1997 Star-shaped sets in normed spaces. Zbl 0847.52003Boltyanski, V.; Martini, H.; Soltan, P. S. 5 1996 A new point of view on linear controlled objects. Zbl 0951.49026Boltyanskii, V. G. 2 1996 Combinatorial geometry of belt bodies. Zbl 0853.52004Boltyanski, V.; Martini, H. 3 1995 Stories about covering and illuminating of convex bodies. Zbl 0896.52023Boltyanski, V.; Gohberg, I. 2 1995 Minimal fixing systems for convex bodies. Zbl 0867.52002Boltyanski, V. G.; Morales Amaya, E. 1 1995 Tent method in optimal control theory. Zbl 0812.49013Boltyanski, Vladimir G. 1 1993 A new step in the solution of the Szökefalvi-Nagy problem. Zbl 0756.52009Boltyanski, Vladimir G. 3 1992 A solution of Hadwiger’s covering problem for zonoids. Zbl 0768.52004Boltjanski, 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 0727.52001Boltyanskij, Vladimir; Soifer, Alexander 1 1991 Solution of Hadwiger’s problem for a class of convex bodies. Zbl 0737.52003Boltyanskij, V. G.; Soltan, P. S. 2 1990 Geometry of masses. (Geometriya mass). Zbl 0661.70001Balk, 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 0882.01027Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 11 1986 Results and problems in combinatorial geometry. Transl. from the Russian. Zbl 0567.52007Boltyanskij, V. G.; Gokhberg, I. Ts. 2 1985 Separation of a system of convex cones in a topological vector space. Zbl 0596.52004Boltyanskij, V. G. 1 1985 A solution of the Szökefalvi-Nagy problem for three-dimensional convex bodies. Zbl 0586.52006Boltyanskij, V. G.; Chabukiani, T. A. 1 1984 The mathematical theory of optimal processes. (Matematicheskaya teoriya optimal’nykh protsessov). 4th ed. Zbl 0516.49001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 78 1983 An optimization problem with change of the phase space. Zbl 0529.49012Boltyanskij, V. G. 2 1983 Descriptive topology. (Naglyadnaya topologiya). Pod red. S. P. Novikova. Zbl 0606.57001Boltyanskij, V. G.; Efremovich, V. A. 1 1982 Combinatorial geometry and convexity classes. Zbl 0394.52005Boltyanskij, V. G.; Soltan, P. S. 8 1978 Hilbert’s third problem. Translated by Richard A. Silverman and introduced by Albert B. J. Novikoff. Zbl 0388.51001Boltyanskii, Vladimir G. 7 1978 Combinatorial geometry of various classes of convex sets. (Kombinatornaya geometriya razlichnykh klassov vypuklykh mnozhestv). Zbl 0528.52002Boltyanskij, V. G.; Soltan, P. S. 3 1978 The envelope. (La envolvente.) Translated from the Russian by V. Llanos Mas. Zbl 0381.53001Boltianski, V. G. 2 1977 Das Borsuksche Problem. Zbl 0368.52010Boltyanskij, V. G.; Soltan, V. P. 2 1977 Optimale Steuerung diskreter Systeme. Deutsche Übersetzung: P. Aumüller, W. Schmidt. Wissenschaftliche Redaktion: L. Bittner. Zbl 0343.49001Boltjanski, W. G. 6 1976 Commande optimale des systèmes discrets. Traduit du russe par A. Sossinski. Zbl 0363.49001Boltianski, V. 3 1976 Helly’s theorem for H-convex sets. Zbl 0342.52011Boltyanskij, V. G. 3 1976 Generalization of a theorem of B. Sz.-Nagy. Zbl 0359.52008Boltyanskij, V. G. 1 1976 On certain classes of convex sets. Zbl 0342.52010Boltyanskij, V. G. 1 1976 The method of tents in the theory of extremal problems. Zbl 0334.49014Boltyanskij, V. G. 18 1975 The method of tents in the theory of extremal problems. Zbl 0318.49017Boltyanskiĭ, V. G. 11 1975 Théorie mathématique des processus optimaux. Traduit du russe par Djilali Embarek. Zbl 0289.49002Pontriaguine, L.; Boltianski, V.; Gamkrelidze, R.; Michtchenko, E. 20 1974 On the intersection of local tents. Zbl 0316.53010Boltyanskij, V. G. 2 1974 Optimale Steuerung diskreter Systeme. (Optimal’noe upravlenie diskretnymi sistemami.). Zbl 0268.49017Boltyanskij, V. G. 1 1973 Das Stützpunktprinzip in Problemen der optimalen Steuerung. Zbl 0265.49018Boltyanskij, V. G. 1 1973 Illumination from within of the boundary of a convex body. Zbl 0251.52006Boltyanskij, V. G.; Soltan, P. S. 1 1972 Mathematical methods of optimal control. Zbl 0213.15504Boltyanskij, V. G. 5 1971 Separability axioms and a metric. Zbl 0224.54018Boltyanskij, 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 0223.49001Boltyanski, W. G. 1 1971 Über die Zerlegung von ebenen Figuren in Teile von kleinerem Durchmesser. Zbl 0198.27102Boltyanskij, V. G. 1 1970 Some results and some problems of the Boolean algebras theory. Zbl 0222.06009Boltjanski, V. G. 1 1969 Mathematische Theorie der optimalen Prozesse. Zbl 0179.14001Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 1 1969 Methode der lokalen Schnitte in der Theorie der optimalen Prozesse. Zbl 0174.40703Boltyanskij, V. G. 2 1968 Time-optimal synthesis for non-linear control systems of second order. Zbl 0249.49010Boltyanskii, V. G. 109 1967 Mathematische Theorie optimaler Prozesse. Aus dem Russischen übersetzt von W.Hahn und R.Herschel. 2., verb. Aufl. Zbl 0148.07504Pontryagin, 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 0117.31702Pontryagin, 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 0143.32004Boltyanskiĭ, V. G. 43 1964 Envelopes. Zbl 0126.37102Boltyanskij, V. 6 1964 Mathematische Theorie der optimalen Prozesse. Zbl 0136.09802Pontryagin, L. S.; Boltyanskij, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 3 1964 Mathematische Theorie optimaler Prozesse. Zbl 0115.09001Pontryagin, 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 0133.31102Boltyanskij, 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 0102.32001Pontryagin, L. S.; Boltyanskii, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 484 1962 The mathematical theory of optimal processes. Zbl 0102.31901Pontryagin, L. S.; Boltyanskiĭ, V. G.; Gamkrelidze, R. V.; Mishchenko, E. F. 81 1961 Convex figures. Zbl 0098.35501Yaglom, I. M.; Boltyanskiĭ, V. G. 63 1961 The theory of optimal processes. I: The maximum principle. Zbl 0098.29404Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 7 1961 Metrische Räume über Halbkörpern. Zbl 0142.21001Antonovskij, M. Ya.; Boltyanskij, V. G.; Sarymsakov, T. A. 1 1961 Theorie der optimalen Prozesse. I: Das Maximumprinzip. Zbl 0095.07301Boltyanskij, 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 0122.30703Boltyanskij, V. G.; Ryshkov, S. S.; Shashkin, Yu. A. 1 1960 On the fundamental concepts of algebraic topology. Zbl 0097.16001Boltyanskij, V. G.; Postnikov, M. M. 1 1960 Topology. I. II. Zbl 0229.54002Yefremovich, V. A.; Boltyanskij, V. G. 1 1959 The maximum principle in the theory of optimum processes. Zbl 0081.34702Boltyanskij, V. G. 3 1958 Homotopy classification of cross sections. Zbl 0082.16603Boltyanskiĭ, V. G. 1 1958 Homotopy theory of continuous mappings and of vector fields. Zbl 0079.16904Boltyanskij, V. G. 1 1957 On the theory of optimum processes. Zbl 0071.18203Boltyanskij, V. G.; Gamkrelidze, R. V.; Pontryagin, L. S. 13 1956 Konvexe Figuren. Zbl 0070.17502Yaglom, I. M.; Boltjanski, W. G. 4 1956 Über die dimensionelle Vollwertigkeit der Kompakten. Zbl 0037.09801Boltyanskij, V. G. 1 1949 all cited Publications top 5 cited Publications 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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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