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 Ordinary Differential Equations Nonmonotone Lyapunov functionals. Conditions for the stability of equations with delayI. V. Gaishun, L. B. Knyazhishche 1291 Ordinary differential equations with discontinuous right-hand sidesV. V. Filippov 1299 Periodic relaxation solutions of a nonlinear autonomous system of differential equations that describes the kinetics of a chemical reactionA. V. Shobukhov 1307 Partial Differential Equations A model elliptic equation with a $\delta$-like coefficientA. B. Antonevich, N. V. Fursenko 1317 Energy estimates for solutions and unique solvability of the Fourier problem for linear and quasilinear parabolic equationsN. M. Bokalo 1325 Pointwise stabilization of solutions of parabolic equations with periodic coefficients in a punctured spaceK. V. Valikov 1335 Asymptotic expansion of the solution of a mixed problem for the wave equation in the exterior of vanishing and nontrapping obstaclesM. I. Ganzha 1350 One-sided estimates for the solutions of the Cauchy problem for second-order parabolic equations in classes of rapidly growing functions. IIL. I. Kamynin, B. N. Khimchenko 1362 On the uniform boundedness of solutions of nonlinear elliptic variational inequalities in variable domainsA. A. Kovalevsky 1370 On the regularization and correction of noncoercive nonlinear equations of monotone typeM. Yu. Kokurin 1374 On the stationary Lyapunov problem for a system of first-order quasilinear partial differential equationsN. B. Konyukhova 1384 On the solvability of a conjugation problem that describes the diffusion of admixtures in siliconV. I. Korzyuk, E. S. Cheb 1396 A mixed problem for a strongly degenerate evolution systemS. P. Lavrenyuk 1405 A boundary value problem for even-order differential equations whose operator coefficients have variable domainsF. E. Lomovtsev 1412 On the uniqueness of the solution of the problem of determining the shape of a periodic surface from the inverse scattering dataA. G. Mikheev 1426 An asymptotic relationship between solutions of different nonlinear equations for large time values. IIP. I. Naumkin, I. A. Shishmarev 1432 The averaging of a mixed problem with an oblique derivative for an elliptic operator in a perforated domainS. E. Pastukhova 1445 On an eigenfunction for a boundary value problem in a diskE. G. Sitnikova 1457 Short Communications Smooth orbital equivalence in a neighborhood of a singular point on a planeI. U. Bronshtein, I. V. Nikolaev 1462 Boundedness of normalized eigenfunctions for the Sturm–Liouville problem with minimal constraints on the smoothness of the coefficientsV. Ya. Yakubov 1465