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2004, Volume 40, Number 3  

Ordinary Differential Equations
Investigation of Relaxation Oscillations with the Use of Constructive Nonstandard Analysis: I
A. V. Borovskikh 		291–298
Regularity Conditions for a Pencil of General Ordinary Differential Operators
A. I. Vagabov 		299–309
A Generalized Cauchy Problem for Singularly Perturbed Impulsive Systems in the Critical Case
L. I. Karandzhulov, Ya. P. Stoyanova 		310–323
On the Extremals of a Functional on the Plane
Yu. A. Klokov 		324–329
An Asymptotic Analog of Reducibility Theorems for Some Classes of Nonautonomous Linear Systems
Yu. A. Konyaev, Yu. G. Martynenko, N. G. Panfilov 		330–333
Reflection Function and the Small Parameter Method
V. I. Mironenko 		334–337
Well-Posedness of the Cauchy Problem for Nonlinear Differential Equations with Variable Delays
G. L. Kharatishvili, T. A. Tadumadze 		338–345
Properties of Solutions of Functional-Differential Equations with Measure
V. Z. Tsalyuk 		346–355

Partial Differential Equations
On the Formation of a Solution with an Internal Layer in a Parabolic System with Different Powers of a Small Parameter
V. F. Butuzov, I. V. Nedelko 		356–367
Homogenization of the Poisson Equation in a Perforated Domain with the Signorini Condition and the Third Boundary Condition on the Cavity Boundaries
A. Yu. Vorob'ev 		368–379
Invariant Reduction of Partially Potential Branching Equations and Iterative Methods in the Problem on a Bifurcation Point with a Symmetry
B. Karasozen, B. V. Loginov 		380–388
The First Boundary Value Problem for a Parabolic Equation in the Hölder Class $H_\alpha$
A. N. Konenkov 		389–395
Uniqueness Classes in a Time-Nonlocal Problem for the Heat Equation and Complex Eigenfunctions of the Laplace Operator
A. Yu. Popov, I. V. Tikhonov 		396–405
Boundary Layer Formation in a Pseudoelastic Medium Under Gradual Acceleration
V. N. Samokhin 		406–416

Short Communications
Approximate Solution of Operator Equations with Regard to New Properties of Chebyshev Polynomials
Yu. G. Bulychev, E. Yu. Bulycheva 		417–420
On the Uniform Convergence and Basis Property of the Means of Spectral Expansions Corresponding to Elliptic Pseudodifferential Operators for Continuous Functions in the Liouville and Nikolskii–Besov Classes
Sh. G. Kasimov 		421–424
Simultaneous Local Controllability of the Spectrum and the Lyapunov Irregularity Coefficient of Regular Systems
S. N. Popova 		425–428
 
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