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2005, Volume 41, Number 12  


Science People
Stanislav Ivanovich Pokhozhaev (A Tribute in Honor of His Seventieth Birthday)
O. V. Besov, A. M. Il'in, V. A. Il'in, L. D. Kudryavtsev, S. M. Nikol'skii, L. V. Ovsyannikov, E. Mitidieri, A. Tesei, L. Véron
1587

Ordinary Differential Equations
On the Smallness of Perturbations Preserving the Higher Exponent of a Linear Differential System
N. A. Izobov
1592
Localization of Invariant Compact Sets of Dynamical Systems
A. P. Krishchenko
1597
A Criterion for Conditional Instability by the First Approximation for Solutions of Differential Systems
S. G. Kryzhevich
1605
On the Computability of Lyapunov Exponents of Linear Differential Systems Along Geometric Time Progressions
A. V. Lipnitskii
1615
On an Algorithm for Constructing an Attainable Upper Boundary for the Higher Exponent of Perturbed Systems
E. K. Makarov, I. V. Marchenko
1621
Geometry of Discontinuous Systems near a Manifold of Singularities of Third Order
A. V. Pukhlikov
1635
A Circular Arrangement of Equilibria and a Procedure for Finding the Strongest of Them
È. R. Smol'yakov
1642
On a Control Problem with Incomplete Information: Quasistrategies and Control Procedures with a Model
D. V. Khlopin, A. G. Chentsov
1652
Flat Control Systems with Delay
V. N. Chetverikov
1667

Partial Differential Equations
Transition to Chaos in a Nonclassical Reaction-Diffusion System
A. V. Dernov, N. A. Magnitskii
1675
On the Coercivity of the $R_\nu$-Generalized Solution of the First Boundary Value Problem with Coordinated Degeneration of the Input Data
V. A. Rukavishnikov, A. G. Ereklintsev
1680

Numerical methods
A Special Version of the Collocation Method for Integral Equations of the Third Kind
N. S. Gabbasov
1690
A Singular Integral Equation with a Cauchy Kernel on the Real Half-Line
D. Pylak, R. Smarzewski, M. A. Sheshko
1696

Short Communications
On the Completeness of Eigenfunctions of the Neumann–Tricomi Problem for a Degenerate Equation of Mixed Type
E. I. Moiseev, M. Mogimi
1709
 
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