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1995, Volume 211  

| General information | 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
Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
 
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