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Found 149 Documents (Results 1–100)

Zero-order asymptotics for the solution of one type of singularly perturbed linear-quadratic control problems in the critical case. (English. Russian original) Zbl 1522.49031

Proc. Steklov Inst. Math. 321, Suppl. 1, S154-S169 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 1, 127-142 (2023).
MSC:  49N10 93C70
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“Far-field interaction” of concentrated masses in two-dimensional Neumann and Dirichlet problems. (English. Russian original) Zbl 07733650

Izv. Math. 87, No. 1, 61-112 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 65-118 (2023).
MSC:  74H45 49R50 35P10 35P20 74G70
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An external meniscus on a thin fiber whose profile has separate rectification points. (English. Russian original) Zbl 1440.76018

Russ. Math. 64, No. 1, 1-7 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 1, 3-10 (2020).
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Time scales and exponential trend to equilibrium: Gaussian model problems. (English) Zbl 1442.82024

Giacomin, Giambattista (ed.) et al., Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Cham: Springer. Springer Proc. Math. Stat. 282, 391-410 (2019).
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Optimal management of oil field development in the Buckley-Leverett model. (English. Russian original) Zbl 1401.49038

Autom. Remote Control 79, No. 4, 641-654 (2018); translation from Avtom. Telemekh. 2018, No. 4, 75-91 (2018).
MSC:  49M30 49S05 49N90 90C15
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Asymptotic solution of a singularly perturbed optimal control problem related to the reconstruction of a defective curve. (English. Russian original) Zbl 1298.49004

Differ. Equ. 49, No. 11, 1347-1355 (2013); translation from Differ. Uravn. 49, No. 11, 1381-1389 (2013).
MSC:  49J15
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On the numerical solution to optimal control problems with nonseparated multipoint and integral conditions. (Russian, English) Zbl 1274.45013

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 12, 2163-2177 (2012); translation in Comput. Math. Math. Phys. 52, No. 12, 1331-1341 (2012).
MSC:  45M05 49K15
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On the asymptotics of the optimal value of the performance functional in a linear optimal control problem. (English. Russian original) Zbl 1230.49037

Differ. Equ. 47, No. 4, 560-570 (2011); translation from Differ. Uravn. 47, No. 4, 560-570 (2011).
MSC:  49N60 93C05 34H05 49M30
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Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters. (English. Russian original) Zbl 1301.49048

J. Math. Sci., New York 170, No. 2, 192-228 (2010); translation from Sovrem. Mat., Fundam. Napravl. 34, 63-99 (2009).
MSC:  49K15 49J15 49N99
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Asymptotics of the optimal cost functional in a linear optimal control problem. (English. Russian original) Zbl 1190.49039

Dokl. Math. 80, No. 1, 478-481 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 151-154 (2009).
MSC:  49M30 90C25
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Spectrum asymptotics for one “nonsmooth” variational problem with solvable constraint. (English. Russian original) Zbl 1260.35092

St. Petersbg. Math. J. 18, No. 5, 681-697 (2007); translation from Algebra Anal. 18, No. 5, 1-22 (2006).
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Optimal control of the order of asymptotics for elliptic equations with fast oscillating coefficients. II: Substantiation of asymptotic expansions. (English. Russian original) Zbl 1118.49019

Cybern. Syst. Anal. 41, No. 3, 374-384 (2005); translation from Kibern. Sist. Anal. 2005, No. 3, 69-80 (2005).
MSC:  49K20 49M30
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Optimal control of the order of asymptotics for elliptic equations with fast oscillating coefficients. I: Formal constructions. (English. Russian original) Zbl 1084.49023

Cybern. Syst. Anal. 40, No. 5, 699-709 (2004); translation from Kibern. Sist. Anal. 2004, No. 5, 84-95 (2004).
MSC:  49K20 49J20 93C70
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Point asymptotics for probabilities of large deviations of the \(\omega^2\) statistics in verification of the symmetry hypothesis. (English. Russian original) Zbl 1071.62044

Probl. Inf. Transm. 40, No. 3, 212-225 (2004); translation from Probl. Peredachi Inf. 40, No. 3, 33-48 (2004).
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Asymptotics of solutions to the optimal control problem for time-independent Navier-Stokes equations. (English. Russian original) Zbl 0991.49003

Comput. Math. Math. Phys. 40, No. 7, 1017-1026 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 7, 1061-1070 (2000).
MSC:  49J20 35Q30 76D05 35B37 35B40
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Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints. (English. Russian original) Zbl 0989.49006

Comput. Math. Math. Phys. 40, No. 1, 51-61 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 1, 54-64 (2000).
MSC:  49J15 49J45 49M99 65K10 93C73 93B40
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Topological derivative for nucleation of non-circular voids. The Neumann problem. (English) Zbl 1050.49028

Gulliver, Robert (ed.) et al., Differential geometric methods in the control of partial differential equations. Proceedings of the 1999 AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27–July 01, 1999. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-1927-5/pbk). Contemp. Math. 268, 341-361 (2000).
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