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 Ordinary Differential Equations The Method of Lyapunov Functionals for Linear Difference-Differential Systems with Almost Periodic CoefficientsN. V. Aleksenko, R. K. Romanovskii 147 Solvability of Functional-Differential Equations with Fractional DerivativesR. G. Aliev 154 The Gap Lengths in the Sequence of Spectral Parameters of Hilbert Function SystemsV. D. Budaev 164 A Step-Like Contrast Structure for the Case of a Multiple Root of the Transition Point Equation (the Critical Case)V. F. Butuzov, V. V. Kiryushin 171 Functional Boundary Value Problems for a Class of Evolution Equations with an Unbounded Linear OperatorV. V. Goncharov, E. V. Goncharova 181 Stable Periodic Trajectories of Two-Dimensional Diffeomorphisms Close to a Diffeomorphism with a Structurally Unstable Heteroclinic ContourS. V. Gonchenko, A. S. Markichev, A. E. Shatalin 191 The Existence of an Almost Periodic Solution of a Linear System with a Quadratic Performance FunctionalA. G. Ivanov 202 On the Reducibility of a Nonnegatively Hamiltonian Periodic Operator Function in a Real Hilbert Space to a Block Diagonal FormG. A. Kurina, G. V. Martynenko 212 The Samoilenko Reduction Principle for Differential Equations with Random PerturbationsA. N. Stanzhytskyi 218 Partial Differential Equations The Unique Solvability of the Doubly Periodic Problem for a System of Nonlinear Telegraph Partial Differential EquationsS. V. Zhestkov 223 Minimax Solutions of Functional Equations of the Hamilton–Jacobi Type for Hereditary SystemsN. Yu. Lukoyanov 228 Solution of the Heat Equation with Mixed Boundary Conditions on the Surface of an Isotropic Half-SpaceP. A. Mandrik 238 The Inverses of Solvable Extensions and Proper Restrictions of the Operation $-\operatorname{div}\operatorname{grad}$ Are Not Volterra OperatorsK. M. Medvedev 242 A Remark on the Theory of Generalized Entropy Sub- and Supersolutions of the Cauchy Problem for a First-Order Quasilinear EquationE. Yu. Panov 252 Suboptimal Control of a Semilinear Elliptic Equation with a Phase Constraint and a Boundary ControlM. I. Sumin 260 Short Communications Smoothness of Strong Solutions of Complete Hyperbolic Second-Order Differential Equations with Variable Domains of Operator CoefficientsF. E. Lomovtsev 276 Duck Cycles in a Mathematical Model of the Population Density Dynamics of Siberian Silkworm MothA. G. Peretrukhin 279 A Differential Equation of the Second Order with Respect to Time in a Domain with Moving BoundaryYu. T. Sil'chenko 282