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 Partial Differential Equations The local extremum principle for a hyperbolic equation and its applicationV. F. Volkodavov, N. Ya. Nikolaev 3 On the question of the necessary condition for the stabilization of the solution of the Cauchy problem for a heat equation that is uniform on any compactumV. N. Denisov 7 The general solution of a system of partial differential equationsV. S. Zhgenti, A. R. Hvoles 17 Relations that are exact with respect to order between $L_2$-norms of eigen- and associated functions of a second-order elliptic operatorV. A. Il'in 30 Regular extensions of the semiminimal Lavrent'ev–Bitsadze operatorT. Sh. Kal'menov 37 On the uniqueness of the solution of some boundary value problems for equations of mixed type and for hyperbolic equations in $m$-dimensional spaceG. D. Karatoprakliev 59 On the completeness of eigenelements of some nonlinear equationsA. P. Makhmudov 64 An approximate method for solving boundary value problems for differential equations and its application to the dynamics of ground moisture and ground waterA. M. Nakhushev 72 A problem of Tricomi type for the Lavrent'ev–Bitsadze equation in a domain with an infinite set of characteristic trianglesCh. T. Nguyen 81 A problem with displacement for a hyperbolic equation with noncharacteristic degeneration on part of the boundaryI. Orazov 92 On the solvability of some higher-order quasilinear elliptic equationsS. I. Pokhozhaev 100 Some new results of the theory of regularized traces of differential operatorsV. A. Sadovnichii, V. A. Lyubishkin 109 Two nonlocal boundary value problems for a degenerate hyperbolic equationM. S. Salakhitdinov, M. Mirsaburov 116 On a class of singular integral operators on the line with one-sided shiftA. P. Soldatov 127 The Cauchy problem for differential equations with constant coefficients in a half space in a class of generalized functionsN. E. Tovmasyan 132 Some properties of Euler fieldsO. V. Troshkin 138 On a problem with an oblique fractional derivative for the Holmgren equationM. A. Usanetashvili 144 On a Goursat-type problem for a class of systems of second-order equations of hyperbolic typeS. S. Kharibegashvili 152 Integral representation of $p$-analytic functions with characteristic $p=e^{\lambda x}y^k$D. Z. Khoang 166 Short Communications A solution in closed form of the Volterra equation with a hypergeometric function in the kernelM. M. Smirnov 171 Boundary value problems for a three-dimensional equation of mixed type of the second kindN. G. Sorokina 173 Estimates of Wiman–Valiron type for solutions of differential equationsN. M. Suleimanov 176