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2003, Volume 39, Number 11  


Ordinary Differential Equations
A Finite-Dimensional Approximation Method in Optimal Control Theory
A. V. Arutyunov, R. B. Vinter
1443
Necessary Solvability Conditions for Multiparameter Riccati Equations in the Robust Output Feedback $H^\infty$-Control Problem
D. V. Balandin, M. M. Kogan
1452
Solution of the Absolute Stabilization Problem for Delay Systems in the Class of Finite-Dimensional Controllers
V. A. Brusin
1457
On a Class of Transformations and Invariants of Linear Control Systems
F. S. Vainshtein, N. I. Osetinskii
1467
Control Under Indeterminacy and Double Constraints
A. N. Dar'in, A. B. Kurzhanskii
1474
Categories and Foundations of the Theory of Nonlinear Controlled Dynamical Systems: II
V. I. Elkin
1487
On Nonsmooth Multivalent Guiding Functions
S. V. Kornev, V. V. Obukhovskii
1497
Global Stabilization of Affine Systems via Virtual Outputs
A. P. Krishchenko, D. Yu. Panfilov, S. B. Tkachev
1503
Finding Homoclinic and Heteroclinic Contours of Singular Points of Nonlinear Systems of Ordinary Differential Equations
N. A. Magnitskii, S. V. Sidorov
1511
On a Nonlinear Optimal Investment Problem
M. S. Nikol'skii
1521
New Cooperative Theory and Program Differential Games
È. R. Smol'yakov
1527

Partial Differential Equations
Smoothness of the Generalized Solution of an Elliptic Equation with Nonpower Degeneracy
S. A. Iskhokov
1536
A Boundary Control Problem for a Nonlinear Parabolic Equation
V. I. Maksimov
1543
A Time-Periodic Solution of the Equation of Forced Vibrations of a String with Homogeneous Boundary Conditions
I. A. Rudakov
1550
The Phase Space of the Cauchy–Dirichlet Problem for a Nonclassical Equation
G. A. Sviridyuk, A. V. Ankudinov
1556

Short Communications
On the Maximum Possible Negativity Margin for the First Derivative (First Difference) of a Quadratic Lyapunov Function
O. G. Antonovskaya
1562
On the Construction of the Homoclinic Butterfly Bifurcation Surface for the Lorenz System
D. A. Kaloshin
1564
A Modification of Perron's Counterexample
G. A. Leonov
1566
On the Completeness of Eigenfunctions of a Nonlocal Gellerstedt Boundary Value Problem
T. E. Moiseev
1568
On the Method of Indeterminate Coefficients for Nonhomogeneous Linear Ordinary Differential Equations
V. G. Tsirulik
1571

Chronicle
Pontryagin Readings-XIV at Voronezh Spring Mathematical School “Modern Methods in Qualitative Theory of Boundary Value Problems”
V. A. Il'in, Yu. V. Pokorny, A. V. Borovskikh
1574
Seminar on the Qualitative Theory of Differential Equations at Moscow State University
1575
 
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