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2002, Volume 38, Number 11  


Ordinary Differential Equations
On Necessary Second-Order Conditions in Optimal Control Problems
A. V. Arutyunov, Yu. S. Vereshchagina
1443
On the Problem of Sequential Traversal of a Set of Smooth Manifolds by a Nonlinear Controlled Object
Yu. I. Berdyshev
1451
Synthesis of Regulators for Dynamical Systems in Hilbert Spaces
V. A. Brusin
1462
Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: I
V. I. Elkin
1467
The Construction of Minimal Phase Affine Systems
A. P. Krishchenko, D. Yu. Panfilov, S. B. Tkachev
1483
A Representation of the Equations of Motion on the Phase Constraint Surface of an Optimal Control Problem in the Form of Singular Characteristics
A. A. Melikyan
1490
Singularly Perturbed Cauchy Problems and Contrast Structures
Yu. I. Neimark, V. N. Smirnova
1498
Continuity and the Lipschitz Property of the Bellman Function in Some Optimization Problems on the Semi-Infinite Interval $[0,+\infty)$
M. S. Nikol'skii
1506
On the Invariant Analysis of Generalized Linear Dynamical Systems
N. I. Osetinskii
1511
A System of Equilibria for Many-Player Games
È. R. Smol'yakov
1517
Higher Symmetries and the Brunovskii Infinitesimal Form of Controlled Systems
V. N. Chetverikov
1525

Finite difference equations
Attainability and Connectedness in an Automata Network with a General State Switching Rule
S. N. Vassilyev
1533
Some Properties of Linear Nonstationary Discrete Systems over Rings
I. V. Gaishun
1540
Boundedness in Mean of Solutions of Volterra Finite-Difference Equations Under Unknown Perturbations
V. B. Kolmanovskii, N. I. Koroleva, N. P. Kosareva
1549

Short Communications
Attainability Domains of Controlled Systems in Problems with Phase Constraints
O. N. Bobyleva
1563
Stability of Closed Invariant Sets of Semidynamical Systems. The Method of Sign Definite Lyapunov Functions
B. S. Kalitin
1565

Chronicle
Seminar on Qualitative Theory of Differential Equations at Moscow State University
1567
 
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