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 Ordinary Differential Equations A method for superfast convergence and the reducibility of almost periodic systemsI. N. Blinov 187 Nonregular pencils of differential operators in a space of vector functionsA. I. Vahabov 199 Lyapunov functions for a class of second-order autonomous systemsG. S. Krechetov 207 On the theory of optimization from initial data of systems with aftereffectS. A. Minyuk, V. V. Sen'ko 212 Meromorphic solutions of first-order differential equationsA. Z. Mokhon'ko 222 Prolongation of the loss of stability in the case of dynamic bifurcations. IIA. I. Neishtadt 226 Realization of a given trajectory of motion and of a pencil of trajectoriesA. T. Taldykin, T. A. Ulanova 234 On relatedness theorems for equations with retarded argumentV. P. Tikhonov 240 Some methods for obtaining estimates for the solutions of inequalitiesZ. B. Tsalyuk 250 Observability of objects of neutral type by means of linear operationsB. Sh. Shklyar 258 Partial Differential Equations Investigation of the convergence of difference schemes for calculating a process of the heat treatment of composite materials by means of infrared radiationP. A. Vakulchik, I. S. Shchukina 267 The Cauchy problem in classes of increasing functions for some nonlinear pseudoparabolic equationsA. L. Gladkov 277 Stabilization of the solution of the Cauchy problem for the heat equationV. N. Denisov 288 Fundamental solutions of differential equations containing a Bessel operatorA. A. Kulikov 299 The generalized Poisson integral and the smoothness of the solution of the Dirichlet problem for degenerate elliptic operatorsP. I. Lizorkin, N. V. Miroshin 305 On the theory of fractional calculusA. M. Nakhushev 313 Formulas for the inversion of integral representations of some $p$-analytic functions and for their applicationD. Z. Khoang 324 Short Communications Some remarks on solutions of autonomous equations that approach finite limits at infinityS. A. Bespalova, Yu. A. Klokov 336 Dependence of the stability of linear periodic systems on the periodN. A. Bodunov, F. F. Kotchenko 338 Normal local controllability of objects that can be described by a system of second-order differential equations with one control parameterA. V. Boltyanskii 341 An angular boundary layer in the asymptotics of the solution of a singularly perturbed system of equations of elliptic typeV. F. Butuzov, A. G. Nikitin 343 On the uniform boundedness of solutionsE. V. Voskresenskii 346 Localization of the solutions of the Cauchy problem for $\vec{2b}$-parabolic systems in classes of generalized functionsV. V. Gorodestkii 348 Inverse problem for an integro-differential equation of the second order with a singularityM. S. Eremin 350 Dependence of the interval of existence of the solution of a differential equation on the initial dataB. V. Zadvornyi 351 Two-sided estimates for $s$-numbers of integral operators that increase smoothnessG. G. Islamov 353 Convergence in $L^2$ of families of solutions of nonlinear systems with a small parameter multiplying the derivativeV. P. Skripnik 357 Conditions for the maximal dissipativity of differential-boundary operators in a space of vector functionsO. G. Storozh 359 Smooth equivalence of systems of differential equations with power asymptotics of the solutions and of their discrete analogues in a neighborhood of an invariant manifoldS. P. Tokarev 361