Trudy Mat. Inst. Steklov., 1995, Volume 211

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1995, Volume 211

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Contents

Optimal control and differential equations

Collection of articles. To the seventieth birthday of academician E. F. Mishchenko

	Methods of solving optimal control problems based on the Pontryagin maximum principle S. N. Avvakumov, Yu. N. Kiselev, M. V. Orlov		3
	De la Vallée Poussin theorem on the differential inequality for equations with an aftereffect N. V. Azbelev, L. F. Rakhmatullina		32
	Investigation of quadratic forms of calculus of variations with exponential degeneracy on a small time interval A. V. Arutyunov		40
	Necessary optimality conditions in terms of generalized Hamilton–Jacobi–Bellman equations with phase constraints A. V. Bogatyrev, E. S. Pyatnitskii		62
	An alternative model of the general theory of relativity V. G. Boltyanskii		81
	On an optimization problem for control systems of parabolic type Yu. G. Borisovich, V. V. Obukhovskii		95
	On the Kellogg kernels in discontinuous problems A. V. Borovskikh, K. P. Lazarev, Yu. V. Pokornyi		102
	Optimal control of a boundary value problem O. V. Vasiliev, V. A. Terletskii		121
	A regularized proximal method for convex minimization problems F. P. Vasil'ev, O. Obradovich		131
	Synthesis of optimal controls for dynamic systems with incomplete and uncertain information about their states R. Gabasov, F. M. Kirillova, O. I. Kostyukova		140
	The exact solution of the problem of Kalman filtration for a navigation complex P. B. Gusyatnikov		153
	The inverse Chebyshev problem and Chebyshev splines V. K. Isaev, S. A. Plotnikov		164
	The complexity of computations A. A. Karatsuba		186
	The generalized implicit function theorem and the obstacle problem A. K. Kerimov		203
	On a method for describing the evolution of the reachable set of a differential inclusion V. A. Komarov		235
	Conditions for stable nonanticipatory motion approximation A. V. Kryazhimskii		243
	On differential-evolutionary games A. V. Kryazhimskii, Yu. S. Osipov		257
	Small amplitude nonlinear waves in an anisotropic elastic body A. G. Kulikovskii		288
	Differential inclusions with phase constraints. The theory of perturbations A. B. Kurzhanskii, T. F. Filippova		304
	On behavior of attainable sets of linear systems singularly perturbed by a matrix G. A. Kurina		316
	Finite-dimensional input approximation in parabolic variational inequalities V. I. Maksimov		326
	On the best approximation of a convex compact set by elements of addial M. S. Nikol'skii, D. B. Silin		338
	On the theory of multivalued integration. On some properties of a generalized multivalued convolution integral O. I. Nikonov		355
	Linear differential games and generalized convexity V. V. Ostapenko		364
	New strong dynamically stable optimality principles in cooperative differential games L. A. Petrosyan		370
	On optimal measuring devices V. G. Pokotilo		377
	Necessary conditions for an optimization problem with a differential inclusion E. S. Polovinkin		387
	Parametrization of the controllability set of a linear control dynamical system E. N. Khailov		401
	Singular differential equations in control and minimization problems M. M. Khapaev		411
	Resolvent asymptotics of Volterra integral operators A. P. Khromov		419
	Asymptotically attainable elements: Generalized constructions and the realization in the class of approximate solutions A. G. Chentsov		443
	Decomposition and synthesis of control in nonlinear dynamical systems F. L. Chernous'ko		457
	Euler's method revisited F. Lempio		473
	Constructing feedback control in differential games by use of “central” trajectories G. Sonnevend		495