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 Ordinary Differential Equations Continuous branches of multivalued mappings, and integral inclusions with nonconvex images and their applications. IA. I. Bulgakov 371 Sliding modes in second-order piecewise-linear difference systemsV. A. Gustomesov 380 Factorization of a linear boundary value problem and the monotonicity of the Green operatorA. I. Domoshnitskii 390 An indicator quadratic form and the stability of solutions of a system of differential equationsN. M. Maskin 395 Invariant manifolds of autonomous differential equations, and sign-variable Lyapunov functionsYu. A. Mitropol'skii, V. L. Kulik 398 Obtaining estimates for the stability of solutions of stochastic functional-differential equationsI. G. Nechaeva, D. Ya. Khusainov 405 On a regularization procedure for a function of the value of a nonlinear control problemV. E. Pak, A. G. Chentsov 414 Completely controllable dynamical polysystemsN. N. Petrov 423 Justification of a partial averaging scheme for systems with slow and fast variablesV. A. Plotnikov, Larbani Mussa 428 On the continuous dependence of solutions of a quasilinear impulsive boundary value problem on parametersG. R. Ragimkhanov 432 Regional integrability of the $N$-body problemL. L. Sokolov, K. V. Kholshevnikov 437 Partial Differential Equations Controllability and quasicontrollability of parabolic systems with delayS. A. Avdonin, O. Ya. Gorshkova 442 Fundamental solution of the wave equation with several singularities and the Huygens principleI. A. Kipriyanov, Yu. V. Zasorin 452 A boundary value problem without initial conditions for a linear one-dimensional system of hyperbolic-type equationsV. M. Kirilich, A. D. Myshkis 463 On the existence and uniqueness of bounded solutions of systems of first-order quasilinear evolution partial differential equationsN. B. Konyukhova 469 On the existence of a global solution of a nonlinear diffusion system of equations of reactor dynamicsR. S. Makin 483 Uniform stabilization as $t\to\infty$ of the solution of the Cauchy problem for a system of acoustic vibrations in a compressible mediumV. N. Maslennikova, I. M. Petunin 489 Fundamental solutions of parabolic systems with discontinuous coefficients and their applications to boundary value problems. VM. I. Matiichuk 501 Solvability of the Cauchy problem for linear singular equations of evolution typeG. A. Sviridyuk, M. V. Sukhanova 508 Short Communications Investigation of periodic solutions of a differential equation of pendulum typeZ. S. Batalova, N. V. Buhalova 516 Construction, numerical realization and investigation of difference schemes for solution of the problem on mathematical modeling of vortical formations in laboratory conditionsP. A. Vakulchik, A. N. Rashid 519 Application of integral transformations to the solution of some mixed problemsE. A. Gasymov 521 A class of loaded elliptic equationsM. T. Dzhenaliev (Jenaliyev) 522 The Green function for spatial stationary problems of heat conduction of a multilayer bodyYu. M. Kolyano, B. V. Protsyuk, B. A. Drapkin 524 On the boundedness of powers of selfadjoint extensions of singular elliptic operators acting in weighted classesA. A. Larin 528 Spectral properties of differential operators with discontinuous coefficientsS. I. Mitrokhin 530 Asymptotics of solutions of boundary value problems for linear, singularly perturbed systems on the infinite intervalN. G. Panfilov 532 On solutions of stochastic equations with almost surely periodic trajectoriesA. E. Rodkina 534 A representation of solutions of the Sturm–Liouville equation and its applicationsN. A. Chernyavskaya, L. A. Shuster 537 Application of the second Lyapunov method for estimating the integral funnel of a system of differential equationsV. V. Zaitsev 540 On observability for the one-dimensional heat equationE. K. Kostousova 543