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2002, Volume 38, Number 10  


Ordinary Differential Equations
A Remark on the Boundedness of Solutions of Systems of Nonhomogeneous Second-Order Differential Equations
Kh. I. Botashev
1299
Elliptic Limit Cycles of Two-Dimensional Autonomous Differential Systems
M. V. Dolov, Yu. V. Pavlyuk
1303
The Construction of a Pfaff Linear System Whose Solutions Have an Arbitrary Given Boundary Lower Exponent Set
N. A. Izobov, E. N. Krupchik
1310
Investigation of Some Mathematical Models of Electorate Evolution
A. P. Mikhailov, L. F. Yukhno
1322
Stability of Linear Mixed Functional-Differential Equations with Commensurable Deviations of the Space Argument
A. D. Myshkis
1331
A Remark on the Lyapunov–Razumikhin Method for Equations with Infinite Delay
N. O. Sedova
1338
On a Scalar Equation with Discontinuous Right-Hand Side and the Uniqueness Theorem
V. V. Filippov
1348
Slow Integral Manifolds with Stability Change in the Case of a Fast Vector Variable
E. A. Shchepakina
1358

Partial Differential Equations
The Pokhozhaev Identity and the Fibering Method
Ya. Sh. Il'yasov
1365
Coefficient Stability of Second-Order Operator-Differential Equations
B. S. Jovanović, P. P. Matus
1371
Global Attractors of a Nonautonomous Reaction-Diffusion Equation
A. V. Kapustyan
1378
On Differential Inclusions with Homogeneous Principal Part
V. S. Klimov
1382
Homogenization of the Lavrent'ev–Bitsadze Equation in a Partially Perforated Domain
V. A. Kondratiev, G. A. Chechkin
1390
An Application of the Averaging Method and Hadamard's Method of Descent to the Analysis of the Cauchy Problem for an Ultra-Hyperbolic Equation
D. P. Kostomarov
1397
Technical Stability with Respect to Measure of Solutions of Boundary Value Problems for Distributed Processes with a Continuous Control
K. S. Matviychuk
1404
An Analog of the Nakhushev Problem for the Bitsadze–Lykov Equation
O. A. Repin
1412
Problem $R$ for the Lavrent'ev–Bitsadze System in Weighted Hardy Classes
A. P. Soldatov
1418

Short Communications
On the Essential Self-Adjointness of a Nonsemibounded Schrö odinger Operator with Strong Singularities in the Potential
A. G. Brusentsev
1431
Stability Issues for a System of Differential Equations with Two Delays
A. S. Maksaev
1434
 
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