Differ. Uravn., 2003, Volume 39, Number 10

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2003, Volume 39, Number 10

Ordinary Differential Equations
	Observable Linear Nonstationary Systems of Total Differential Equations I. V. Gaishun	1299
	Qualitative Analysis of the Singular Cauchy Problem for a Differential Equation Unsolved for the Derivative A. E. Zernov, Yu. V. Kuzina	1307
	A Criterion for the Invariance of Characteristic Exponents of Linear Systems with a Small Parameter Multiplying the Derivative S. G. Krasovskii	1315
	Structural Stability of Nonautonomous Systems S. G. Kryzhevich, V. A. Pliss	1325
	An Estimate of the Number of Limit Cycles via Critical Points of Conditional Extremum L. A. Cherkas	1334

Partial Differential Equations
	Unique Solvability of Nonlocal Boundary Value Problems for Systems of Hyperbolic Equations A. T. Asanova, D. S. Dzhumabaev	1343
	Properties of Solutions of Equations Containing Powers of an Unbounded Operator A. V. Glushak	1355
	The Riemann Function for Higher-Order Hyperbolic Equations and Systems with Dominated Lower-Order Terms O. M. Dzhokhadze	1366
	Ill-Posed Initial-Boundary Value Problems for Higher-Order Linear Hyperbolic Equations with Two Independent Variables T. I. Kiguradze, T. Kusano	1379
	Higher-Order Approximations of the Averaging Method for Parabolic Initial-Boundary Value Problems with Rapidly Oscillating Coefficients V. B. Levenshtam	1395
	Solvability of a Nonlocal Version of the Gellerstedt Problem T. E. Moiseev	1404
	Weakly Degenerate Hyperbolic Equations V. P. Orlov	1409
	Optimal Control of an Elliptic Equation with a Nonsmooth Nonlinearity S. Ya. Serovaĭskiĭ	1420

Short Communications
	A Test for the Completeness of the Root Vectors in the Tricomi Problem M. A. Bimenov, T. Sh. Kal'menov	1425
	A Class of Asymptotically Equivalent Spatially Homogeneous Discrete Boltzmann Equations A. A. Kalybai	1427
	Solution of Boundary Value Problems for the Fractional Diffusion Equation by the Green Function Method A. V. Pskhu	1430
	Bifurcation of an Invariant Torus from an Equilibrium Under Commensurability Conditions Yu. V. Usachev	1434