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 Ordinary Differential Equations Investigation of Relaxation Oscillations with the Use of Constructive Nonstandard Analysis: IA. V. Borovskikh 291 Regularity Conditions for a Pencil of General Ordinary Differential OperatorsA. I. Vagabov 299 A Generalized Cauchy Problem for Singularly Perturbed Impulsive Systems in the Critical CaseL. I. Karandzhulov, Ya. P. Stoyanova 310 On the Extremals of a Functional on the PlaneYu. A. Klokov 324 An Asymptotic Analog of Reducibility Theorems for Some Classes of Nonautonomous Linear SystemsYu. A. Konyaev, Yu. G. Martynenko, N. G. Panfilov 330 Reflection Function and the Small Parameter MethodV. I. Mironenko 334 Well-Posedness of the Cauchy Problem for Nonlinear Differential Equations with Variable DelaysG. L. Kharatishvili, T. A. Tadumadze 338 Properties of Solutions of Functional-Differential Equations with MeasureV. Z. Tsalyuk 346 Partial Differential Equations On the Formation of a Solution with an Internal Layer in a Parabolic System with Different Powers of a Small ParameterV. F. Butuzov, I. V. Nedelko 356 Homogenization of the Poisson Equation in a Perforated Domain with the Signorini Condition and the Third Boundary Condition on the Cavity BoundariesA. Yu. Vorob'ev 368 Invariant Reduction of Partially Potential Branching Equations and Iterative Methods in the Problem on a Bifurcation Point with a SymmetryB. Karasozen, B. V. Loginov 380 The First Boundary Value Problem for a Parabolic Equation in the Hölder Class $H_\alpha$A. N. Konenkov 389 Uniqueness Classes in a Time-Nonlocal Problem for the Heat Equation and Complex Eigenfunctions of the Laplace OperatorA. Yu. Popov, I. V. Tikhonov 396 Boundary Layer Formation in a Pseudoelastic Medium Under Gradual AccelerationV. N. Samokhin 406 Short Communications Approximate Solution of Operator Equations with Regard to New Properties of Chebyshev PolynomialsYu. G. Bulychev, E. Yu. Bulycheva 417 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 ClassesSh. G. Kasimov 421 Simultaneous Local Controllability of the Spectrum and the Lyapunov Irregularity Coefficient of Regular SystemsS. N. Popova 425