Trudy Mat. Inst. Steklova, 2002, Volume 236

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2002, Volume 236

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Differential equations and dynamical systems

Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko

	To the 80th Anniversary of E. F. Mishchenko D. V. Anosov, A. A. Bolibrukh		9
	Existence of Global Weak Solutions to the Equations of One-Dimensional Nonlinear Thermoviscoelasticity with Discontinuous Data A. A. Amosov		11
	Flows on Closed Surfaces and Related Geometrical Questions D. V. Anosov		20
	Invariant Manifolds in Singularly Perturbed Systems O. D. Anosova		27
	Necessary Extremum Conditions and an Inverse Function Theorem without a priori Normality Assumptions A. V. Arutyunov		33
	Bifurcation of the Equilibrium Point in the Critical Case of Two Pairs of Zero Characteristic Roots V. V. Basov		45
	Multiplicity of Zeros of the Components of Solutions to a System with Regular Singular Points A. A. Bolibrukh		61
	On Morse–Smale Diffeomorphisms without Heteroclinic Intersections on Three-Manifolds Ch. Bonatti, V. Z. Grines, V. S. Medvedev, E. Peku		66
	On a Model Analogue of the Helmholtz Resonator in Homogenization R. R. Gadyl'shin		79
	On the Defining Boundary Conditions of Elliptic Boundary Value Problems with a Small Parameter at the Highest Derivatives S. A. Golopuz		87
	On Bifurcations of Two-Dimensional Diffeomorphisms with a Homoclinic Tangency of Manifolds of a “Neutral” Saddle V. S. Gonchenko		95
	Homoclinic Tangencies, $\Omega$-Moduli, and Bifurcations V. S. Gonchenko		103
	Locally Bounded Generalized Entropy Solutions to the Cauchy Problem for a First-Order Quasilinear Equation A. Yu. Goritskii, E. Yu. Panov		120
	Singularities of Limiting Directions of Generic Higher Order Implicit ODEs A. A. Davydov		134
	On the Boundary Properties of Solutions to the Generalized Cauchy–Riemann Equation E. P. Dolzhenko, V. I. Danchenko		142
	On Nonisolated Singular Points of Solutions to Linear Elliptic Equations with Constant Coefficients E. P. Dolzhenko, A. V. Pokrovskii		153
	On Eigenvibrations of a Body with Many Concentrated Masses Located Nonperiodically along the Boundary E. I. Doronina, G. A. Chechkin		158
	$\Omega$-Stable Skew Products of Interval Maps Are Not Dense in $T^1(I)$ L. S. Efremova		167
	The Structure of Optimal Synthesis in the Vicinity of Singular Manifolds for Problems Affine with Respect to Control M. I. Zelikin		174
	First Integrals of Lorentz Equations for Certain Classes of Electromagnetic Fields A. S. Ivanova, M. A. Parinov		197
	Continuity at a Point for Solutions to Elliptic Equations with a Nonstandard Growth Condition O. V. Krasheninnikova		204
	On the Realization of Morse–Smale Diffeomorphisms with Heteroclinic Curves on a 3-Sphere E. V. Kruglov, E. A. Talanova		212
	Doubling Operations and Monodromy of Generalized Knizhnik–Zamolodchikov Equations V. P. Leksin		218
	Suboptimal Regimes in the Fuller Problem O. E. Maikova		226
	A Saddle Point in a Differential Game on an Unbounded Time Interval N. B. Melnikov		230
	Arbitrary Plane Systems of Anisotropic Beams S. A. Nazarov, A. S. Slutskij		234
	Schrödinger Operators with Singular Potentials M. I. Neiman-Zade, A. M. Savchuk		262
	On the Asymptotics of the Green Functions for Parabolic Equations M. M. Postnikov		272
	A General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities S. I. Pokhozhaev		285
	A Nonlocal Problem for a Loaded Hyperbolic Equation L. S. Pulkina		298
	Three-Dimensional Domains of Parametric Resonance A. P. Seyranian, A. A. Mailybaev		304
	On the Uniqueness Problem for Nonlinear Elliptic and Parabolic Equations I. V. Skrypnik, G. Gaevsi		318
	On the Global Geometry of Harmonic Symmetric Bilinear Differential Forms M. V. Smolnikova		328
	On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity S. A. Stepin		332
	Finite-Dimensional Subalgebras of the Lie Algebra of Vector Fields on the Circle M. S. Strigunova		338
	Generalized Admissibility, Well-Definedness, and Invertibility of Linear Partial Differential Operators V. M. Tyurin		343
	On Weighted Korn's Inequality for a Thin Nonsymmetric Plate G. A. Chechkin, E. A. Pichugina (Akimova)		347
	Localized Boundary Blow-up Regimes for General Quasilinear Divergent Parabolic Equations of Arbitrary Order A. E. Shishkov		354
	Homogenization of Nonlinear Variational Problems by Means of Two-Scale Convergence S. B. Shulga		371
	Nonstandard Variational Problems in Mathematical Statistics A. M. Shurygin		378
	Interactions between Homogenization and Phase-Transition Processes N. Ansini, A. Braides, V. Chiadò Piat		386
	Projection Singularities of Extremals and Morse Property for Minimum Time U. Boscain		399
	The Passage from Nonconvex Discrete Systems to Variational Problems in Sobolev Spaces: The One-Dimensional Case A. Braides, M. Gelli, M. Sigalotti		408
	Invariant Manifolds Revisited M. Chaperon		428
	On the Asymptotic Behavior of Solutions of a Semilinear Elliptic Boundary Problem in Unbounded Domains Yu. V. Egorov, V. A. Kondrat'ev		447
	Multiple Equilibria in an Optimal Control Model for Law Enforcement G. Feichtinger, G. Tragler		462
	Tauberian Theorems for Cosine Operator Functions B. Jefferies, S. I. Piskarev		474
	Fuchsian Systems with Reducible Monodromy Are Meromorphically Equivalent to Reducible Fuchsian Systems S. Malek		481
	Discrete Models of Codimension-Two Singularities of Goursat Flags of Arbitrary Length with One Flag's Member in Singular Position P. Mormul		491
	Harnack Inequalities on Recurrent Metric Fractals U. Mosco		503
	On the Dynamics of Nonholonomic Systems R. Ramirez, N. Sadovskaia		509
	On the 16th Hilbert Problem N. Sadovskaia, R. Ramirez		519