Edit Profile (opens in new tab) Kiselev, Yuri N. Co-Author Distance Author ID: kiselev.yuri-n Published as: Kiselev, Yu. N.; Kiselëv, Yu. N.; Kiselev, Ju. N.; Kiselev, Yuri N. more...less Documents Indexed: 95 Publications since 1971 Co-Authors: 20 Co-Authors with 66 Joint Publications 116 Co-Co-Authors all top 5 Co-Authors 28 single-authored 47 Orlov, Mikhail V. 21 Avvakumov, S. N. 13 Orlov, Sergey M. 6 van den Berg, Hugo Antonius 3 Astakhov, Yu. N. 3 Fedoseev, A. A. 2 Shimokhina, O. N. 1 Fedotova, E. L. 1 Gordievskij, I. G. 1 Grigorenko, Nikolaĭ Leont’evich 1 Karasev, D. D. 1 Khabarov, N. V. 1 Kooijman, Sebastiaan A. L. M. 1 Koroleva, E. G. 1 Kulevskiĭ, A. V. 1 Lagunova, N. V. 1 Nemchinov, I. V. 1 Nikol’skiĭ, Mikhaĭl Sergeevich 1 Puchkova, A. I. 1 Shuvalov, V. V. 1 Silin, Dimitry B. 1 Sveshnikov, V. I. 1 Taras’ev, Aleksandr Mikhaĭlovich 1 Trinko, Natalia G. 1 Venikov, V. A. all top 5 Serials 22 Moscow University Computational Mathematics and Cybernetics 17 Computational Mathematics and Modeling 9 Differential Equations 6 Differential Equations 3 Computational Mathematics and Mathematical Physics 3 Journal of Mathematical Sciences (New York) 3 Proceedings of the Steklov Institute of Mathematics 2 Journal of Mathematical Biology 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Differentsial’nye Uravneniya 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Vestnik Moskovskogo Universiteta. Seriya 15 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Lithuanian Mathematical Journal 1 Cybernetics 1 Journal of Computer and Systems Sciences International 1 Fundamental’naya i Prikladnaya Matematika all top 5 Fields 79 Calculus of variations and optimal control; optimization (49-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Systems theory; control (93-XX) 11 Biology and other natural sciences (92-XX) 10 Ordinary differential equations (34-XX) 9 Operations research, mathematical programming (90-XX) 7 Numerical analysis (65-XX) 4 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 151 times in 77 Documents Cited by ▼ Year ▼ Sufficient optimality conditions in terms of Pontryagin’s maximum principle constructions. Zbl 1234.49019 Kiselev, Yu. N. 20 2003 Optimal allocation between nutrient uptake and growth in a microbial trichome. Zbl 0920.92034 van den Berg, Hugo A.; Kiselev, Yuri N.; Kooijman, S. A. L. M.; Orlov, Michael V. 16 1998 Algorithms of projection of a point onto an ellipsoid. Zbl 0831.65062 Kiselev, Yu. N. 13 1994 Profit maximization problem for Cobb–Douglas and CES production functions. Zbl 1260.90079 Avvakumov, S. N.; Kiselev, Yu. N.; Orlov, M. V.; Taras’ev, A. M. 11 2010 Construction of exact solutions in a nonlinear time optimal control problem of special type. Zbl 0937.49013 Kiselev, Yu. N. 9 1997 Optimal allocation of building blocks between nutrient uptake systems in a microbe. Zbl 0991.92009 van den Berg, Hugo A.; Kiselev, Yuri N.; Orlov, Michael V. 9 2002 A linear time-optimization problem in the case of analytic perturbations to the initial conditions. Zbl 0225.49012 Kiselev, Yu. N. 9 1971 Optimal resource allocation program in a two-sector economic model with a Cobb-Douglas production function. Zbl 1298.91098 Kiselev, Yu. N.; Orlov, M. V. 9 2010 Some algorithms of optimal control. Zbl 1122.49023 Avvakumov, S. N.; Kiselev, Yu. N. 8 2006 The differentiability of a mapping describing isochronous surfaces in a linear time-optimal control problem. (Differenzierbarkeit der Abbildung, die die isochronen Flächen im linearen Problem der zeit-optimalen Kontrolle beschreibt.) Zbl 0222.49005 Kiselev, Yu. N. 8 1971 A study of one-dimensional optimization models with infinite horizon. Zbl 1071.49018 Kiselev, Yu. N.; Orlov, M. V. 8 2004 Methods of solving optimal control problems based on the Pontryagin maximum principle. Zbl 0888.49020 Avvakumov, S. N.; Kiselev, Yu. N.; Orlov, M. V. 6 1995 Qualitative study and algorithms in the mathematical model of innovation diffusion. Zbl 1092.91060 Avvakumov, S. N.; Kiselev, Yu. N. 5 2003 Numerical algorithms for linear time-optimal problems. Zbl 0756.65101 Kiselëv, Yu. N.; Orlov, M. V. 5 1991 Optimal control in the resource allocation problem for a two-sector economy with a CES production function. Zbl 1382.91049 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 5 2017 Optimal resource allocation program in a two-sector economic model with an integral type functional for various amortization factors. Zbl 1322.49036 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 4 2015 Optimal resource distribution program in a two-sector economic model with a Cobb-Douglas production function with distinct amortization factors. Zbl 1273.91315 Kiselev, Yu. N.; Orlov, M. V. 4 2012 The hyperbolic tangent law in optimal control synthesis for a nonlinear model with discounting. Zbl 1131.49025 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 3 2006 Support functions of some special sets, constructive smoothing procedures, and geometric difference. Zbl 1120.93004 Avvakumov, S. N.; Kiselëv, Yu. N. 3 2005 Investigation of the one-dimensional optimization model MD1: infinite horizon and finite horizon. Zbl 1120.49034 Avvakumov, S. N.; Kiselëv, Yu. N.; Orlov, M. V. 3 2005 Problem of innovation diffusion: qualitative investigation and algorithmic aspect. Zbl 1054.65063 Avvakumov, S. N.; Kiselev, Yu. N. 3 2002 Solution methods for differential games. Zbl 1331.49051 Grigorenko, N. L.; Kiselev, Yu. N.; Lagunova, N. V.; Silin, D. B.; Trin’ko, N. G. 3 1996 Optimal control problems with singular modes for a model from microbiology. Zbl 0980.49002 Kiselev, Yu. N.; Orlov, M. V. 2 1998 Time-optimality problem for a nonlinear controlled model. Zbl 1050.49015 Kiselev, Yu. N.; Orlov, M. V. 2 2002 Boundary value problem of Pontryagin’s maximum principle in a two-sector economy model with an integral utility function. Zbl 1337.49034 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 2 2015 Special modes in a two-sector economy model with an integral utility function. Zbl 1414.91288 Kiselev, Yu. N.; Orlov, M. V.; Orlov, Sergey M. 2 2016 Investigation of one-dimensional resource allocation problems on an infinite time interval. Zbl 1298.49038 Kiselev, Yu. N.; Orlov, M. V. 2 2014 A numerical method for searching the optimal solution: the model “growth”. Zbl 1234.49028 Avvakumov, S. N.; Kiselev, Yu. N. 2 2003 Analysis of mathematical models in the case of an infinite horizon. Zbl 1234.49042 Kiselev, Yu. N.; Orlov, M. V. 2 2003 Analytical form of optimal control and reachability sets in a resource allocation problem. Zbl 1175.49021 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 2 2008 The Malthusian parameter in microbial ecology and evolution: an optimal control treatment. Zbl 1175.92038 Van Den Berg, H. A.; Orlov, M. V.; Kiselëv, Yu. N. 2 2008 Resource allocation problem in a two-sector economic model of special form. Zbl 1198.91096 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 2 2009 Nonlinear boundary value problem for Pontryagin’s maximum principle in a linear speed problem. Zbl 0867.49022 Kiselev, Yu. N.; Orlov, M. V. 1 1995 Method of potentials in a linear time-optimization problem. Zbl 0881.49003 Kiselev, Yu. N.; Orlov, M. V. 1 1996 Extremal description of unknown parameters in the boundary value problem of the maximumm principle. Zbl 1116.49310 Kiselev, Yu. N. 1 2000 Projecting a point onto an ellipsoid. Zbl 0827.65065 Kiselev, Yu. N.; Orlov, M. V.; Fedotova, E. L. 1 1993 Optimal modes in a multidimensional model of economic growth. Zbl 1408.91156 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 1 2017 Investigating a two-sector model with an integrating-type functional cost. Zbl 1333.90036 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 1 2013 Investigation of a nonlinear optimal control problem with singular regimes. Zbl 1348.49040 Kiselev, Yu. N.; Orlov, S. M.; Orlov, M. V. 1 2016 Models of information diffusion in a social group: construction of optimal programs. Zbl 1348.91234 Avvakumov, S. N.; Kiselev, Yu. N. 1 2016 Optimal resource allocation in a two-sector economic model with singular regimes. Zbl 1203.91200 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 1 2010 Methods for solution of the smooth linear time-optimal problem. Zbl 0688.49030 Kiselev, Yu. N. 1 1988 Continuation by parameter scheme in nonlinear boundary-value problem of maximum principle. Zbl 0712.49017 Kiselev, Yu. N. 1 1990 On some approaches to the construction of numerical methods for the solution of the linear time-optimal problem. Zbl 0712.49033 Kiselev, Yu. N. 1 1987 Optimal control laws for the model of information diffusion in a social group. Zbl 1260.91214 Avvakumov, S. N.; Kiselev, Yu. N. 1 2011 Optimal control in the resource allocation problem for a two-sector economy with a CES production function. Zbl 1382.91049 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 5 2017 Optimal modes in a multidimensional model of economic growth. Zbl 1408.91156 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 1 2017 Special modes in a two-sector economy model with an integral utility function. Zbl 1414.91288 Kiselev, Yu. N.; Orlov, M. V.; Orlov, Sergey M. 2 2016 Investigation of a nonlinear optimal control problem with singular regimes. Zbl 1348.49040 Kiselev, Yu. N.; Orlov, S. M.; Orlov, M. V. 1 2016 Models of information diffusion in a social group: construction of optimal programs. Zbl 1348.91234 Avvakumov, S. N.; Kiselev, Yu. N. 1 2016 Optimal resource allocation program in a two-sector economic model with an integral type functional for various amortization factors. Zbl 1322.49036 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 4 2015 Boundary value problem of Pontryagin’s maximum principle in a two-sector economy model with an integral utility function. Zbl 1337.49034 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 2 2015 Investigation of one-dimensional resource allocation problems on an infinite time interval. Zbl 1298.49038 Kiselev, Yu. N.; Orlov, M. V. 2 2014 Investigating a two-sector model with an integrating-type functional cost. Zbl 1333.90036 Kiselev, Yu. N.; Orlov, M. V.; Orlov, S. M. 1 2013 Optimal resource distribution program in a two-sector economic model with a Cobb-Douglas production function with distinct amortization factors. Zbl 1273.91315 Kiselev, Yu. N.; Orlov, M. V. 4 2012 Optimal control laws for the model of information diffusion in a social group. Zbl 1260.91214 Avvakumov, S. N.; Kiselev, Yu. N. 1 2011 Profit maximization problem for Cobb–Douglas and CES production functions. Zbl 1260.90079 Avvakumov, S. N.; Kiselev, Yu. N.; Orlov, M. V.; Taras’ev, A. M. 11 2010 Optimal resource allocation program in a two-sector economic model with a Cobb-Douglas production function. Zbl 1298.91098 Kiselev, Yu. N.; Orlov, M. V. 9 2010 Optimal resource allocation in a two-sector economic model with singular regimes. Zbl 1203.91200 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 1 2010 Resource allocation problem in a two-sector economic model of special form. Zbl 1198.91096 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 2 2009 Analytical form of optimal control and reachability sets in a resource allocation problem. Zbl 1175.49021 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 2 2008 The Malthusian parameter in microbial ecology and evolution: an optimal control treatment. Zbl 1175.92038 Van Den Berg, H. A.; Orlov, M. V.; Kiselëv, Yu. N. 2 2008 Some algorithms of optimal control. Zbl 1122.49023 Avvakumov, S. N.; Kiselev, Yu. N. 8 2006 The hyperbolic tangent law in optimal control synthesis for a nonlinear model with discounting. Zbl 1131.49025 Kiselev, Yu. N.; Avvakumov, S. N.; Orlov, M. V. 3 2006 Support functions of some special sets, constructive smoothing procedures, and geometric difference. Zbl 1120.93004 Avvakumov, S. N.; Kiselëv, Yu. N. 3 2005 Investigation of the one-dimensional optimization model MD1: infinite horizon and finite horizon. Zbl 1120.49034 Avvakumov, S. N.; Kiselëv, Yu. N.; Orlov, M. V. 3 2005 A study of one-dimensional optimization models with infinite horizon. Zbl 1071.49018 Kiselev, Yu. N.; Orlov, M. V. 8 2004 Sufficient optimality conditions in terms of Pontryagin’s maximum principle constructions. Zbl 1234.49019 Kiselev, Yu. N. 20 2003 Qualitative study and algorithms in the mathematical model of innovation diffusion. Zbl 1092.91060 Avvakumov, S. N.; Kiselev, Yu. N. 5 2003 A numerical method for searching the optimal solution: the model “growth”. Zbl 1234.49028 Avvakumov, S. N.; Kiselev, Yu. N. 2 2003 Analysis of mathematical models in the case of an infinite horizon. Zbl 1234.49042 Kiselev, Yu. N.; Orlov, M. V. 2 2003 Optimal allocation of building blocks between nutrient uptake systems in a microbe. Zbl 0991.92009 van den Berg, Hugo A.; Kiselev, Yuri N.; Orlov, Michael V. 9 2002 Problem of innovation diffusion: qualitative investigation and algorithmic aspect. Zbl 1054.65063 Avvakumov, S. N.; Kiselev, Yu. N. 3 2002 Time-optimality problem for a nonlinear controlled model. Zbl 1050.49015 Kiselev, Yu. N.; Orlov, M. V. 2 2002 Extremal description of unknown parameters in the boundary value problem of the maximumm principle. Zbl 1116.49310 Kiselev, Yu. N. 1 2000 Optimal allocation between nutrient uptake and growth in a microbial trichome. Zbl 0920.92034 van den Berg, Hugo A.; Kiselev, Yuri N.; Kooijman, S. A. L. M.; Orlov, Michael V. 16 1998 Optimal control problems with singular modes for a model from microbiology. Zbl 0980.49002 Kiselev, Yu. N.; Orlov, M. V. 2 1998 Construction of exact solutions in a nonlinear time optimal control problem of special type. Zbl 0937.49013 Kiselev, Yu. N. 9 1997 Solution methods for differential games. Zbl 1331.49051 Grigorenko, N. L.; Kiselev, Yu. N.; Lagunova, N. V.; Silin, D. B.; Trin’ko, N. G. 3 1996 Method of potentials in a linear time-optimization problem. Zbl 0881.49003 Kiselev, Yu. N.; Orlov, M. V. 1 1996 Methods of solving optimal control problems based on the Pontryagin maximum principle. Zbl 0888.49020 Avvakumov, S. N.; Kiselev, Yu. N.; Orlov, M. V. 6 1995 Nonlinear boundary value problem for Pontryagin’s maximum principle in a linear speed problem. Zbl 0867.49022 Kiselev, Yu. N.; Orlov, M. V. 1 1995 Algorithms of projection of a point onto an ellipsoid. Zbl 0831.65062 Kiselev, Yu. N. 13 1994 Projecting a point onto an ellipsoid. Zbl 0827.65065 Kiselev, Yu. N.; Orlov, M. V.; Fedotova, E. L. 1 1993 Numerical algorithms for linear time-optimal problems. Zbl 0756.65101 Kiselëv, Yu. N.; Orlov, M. V. 5 1991 Continuation by parameter scheme in nonlinear boundary-value problem of maximum principle. Zbl 0712.49017 Kiselev, Yu. N. 1 1990 Methods for solution of the smooth linear time-optimal problem. Zbl 0688.49030 Kiselev, Yu. N. 1 1988 On some approaches to the construction of numerical methods for the solution of the linear time-optimal problem. Zbl 0712.49033 Kiselev, Yu. N. 1 1987 A linear time-optimization problem in the case of analytic perturbations to the initial conditions. Zbl 0225.49012 Kiselev, Yu. N. 9 1971 The differentiability of a mapping describing isochronous surfaces in a linear time-optimal control problem. (Differenzierbarkeit der Abbildung, die die isochronen Flächen im linearen Problem der zeit-optimalen Kontrolle beschreibt.) Zbl 0222.49005 Kiselev, Yu. N. 8 1971 all cited Publications top 5 cited Publications all top 5 Cited by 59 Authors 26 Orlov, Mikhail V. 18 Kiselev, Yuri N. 12 Avvakumov, S. N. 12 Orlov, Sergey M. 5 Dmitriev, Vladimir Ivanovich 4 Cheng, Maolin 4 Grigorenko, Nikolaĭ Leont’evich 3 Barashkov, Aleksandr Sergeevich 3 Kamzolkin, D. V. 3 Khailov, Evgenii N. 3 Luk’yanova, L. N. 3 Puchkova, A. I. 3 van den Berg, Hugo Antonius 2 Arguchintsev, Aleksandr Valer’evich 2 Bazarov, S. B. 2 Lukač, Zrinka 2 Nev, Olga A. 2 Pivovarchuk, D. G. 1 Barashkov, I. S. 1 Becherer, Dirk 1 Benita, Francisco 1 Blizorukova, Marina Sergeevna 1 Bondarenko, Natalia V. 1 Chen, Yanlai 1 Dykhta, Vladimir Aleksandrovich 1 Ennaji, Hamza 1 Ernesti, Felix 1 Filippov, I. E. 1 Han, Yun 1 Hou, Shijin 1 Igbida, Noureddine 1 Kentia, Klebert 1 Khabarov, N. V. 1 Khabibullin, Bulat Nurmievich 1 Kiselev, U. N. 1 Kisilyov, Yu. N. 1 Kojić, Vedran 1 Kuznetsov, Evgenii B. 1 Liu, Bin 1 Lopushenko, V. V. 1 Mokeychev, V. S. 1 Naboko, I. M. 1 Nasini, Stefano 1 Nessah, Rabia 1 Nev, Oleg A. 1 Nguyen, Van Thanh 1 Nikol’skiĭ, Mikhaĭl Sergeevich 1 Novikova, A. O. 1 Ryabov, A. Yu. 1 Schneider, Matti 1 Shevchenko, G. V. 1 Silkin, A. N. 1 Srochko, Vladimir Andreevich 1 Strelkovskii, N. V. 1 Trokhin, A. V. 1 Vinnikov, E. V. 1 Xia, Yinhua 1 Xiang, Minyin 1 Zhulin, S. S. all top 5 Cited in 24 Serials 29 Computational Mathematics and Modeling 13 Moscow University Computational Mathematics and Cybernetics 5 Differential Equations 3 Russian Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Applied Mathematics and Computation 2 Journal of Mathematical Sciences (New York) 2 CEJOR. Central European Journal of Operations Research 2 Journal of Dynamical and Control Systems 1 Journal of Mathematical Biology 1 Lithuanian Mathematical Journal 1 Journal of Mathematical Economics 1 Cybernetics 1 Computational Mechanics 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Complexity 1 Soft Computing 1 Mathematical Methods of Operations Research 1 Lobachevskii Journal of Mathematics 1 Journal of Theoretical Biology 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet all top 5 Cited in 20 Fields 41 Calculus of variations and optimal control; optimization (49-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Systems theory; control (93-XX) 8 Operations research, mathematical programming (90-XX) 6 Numerical analysis (65-XX) 6 Biology and other natural sciences (92-XX) 5 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 3 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year