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 Partial Differential Equations A boundary value problem for a certain degenerate hyperbolic equation, and singular integral equations of the third kindKh. G. Bzhikhatlov 3 The first boundary value problem for certain strongly elliptic systems of equations that degenerate on the boundaryV. N. Vragov 15 Some boundary value problems for a certain degenerate hyperbolic equation of the second kindV. A. Eleev 25 The uniqueness of the solution of the exterior contact inverse problem of the theory of the logarithmic potentialV. M. Isakov 34 The asymptotic behavior of the solutions of a certain mixed problemYu. Ya. Kim 40 The Darboux problem for degenerate hyperbolic equationsA. M. Nakhushev 49 The problem of A. V. Bicadze for an equation of mixed type in multidimensional domainsA. M. Nakhushev, V. I. Paškovskii 57 Exterior Dirichlet and Neumann problems for the polyharmonic equationV. I. Polovinkin 64 A certain quasilinear parabolic equationS. I. Pokhozhaev 73 A certain method of expanding a solid metaharmonic potential in an integro-power seriesA. I. Prilepko 81 Mixed inverse problems of potential theory in the case of contact bodiesA. I. Prilepko 94 The asymptotic behavior as $t\rightarrow \infty$ of a positive solution of a boundary value problem for a model equation of chemical kineticsV. V. Pukhnachov 109 The behavior of the solutions of mixed problems for quasilinear equations of parabolic typeÈ. N. Rudenko 115 The Dirichlet problem for the elliptic system of A. V. Bicadze with lower derivativesR. S. Saks 121 The spectrum of a certain operatorM. V. Fokin 135 A representation of the analytic solutions of certain partial differential equations whose coefficients have pole type singularities with respect to only one argumentV. Kh. Froim 142 A generalized Fourier transform and asymptotic behavior of the solutions of the telegrapher's equationA. B. Shabat 157 On the Dirichlet problem for degenerate elliptic equationsA. I. Yanushauskas 166 Short Communications A certain boundary value problem with nonlinear boundary conditions that have a discontinuityYu. A. Dubinskii, B. P. Nesterov 175 A criterion for the uniqueness of the solution of the Darboux problem for a certain degenerate hyperbolic equationT. Sh. Kal'menov 178 The uniqueness of the strong solution of the generalized Tricomi problemV. V. Kovrizhkin 182