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 Partial Differential Equations A mixed problem for a hyperbolic equation degenerate on a part of the bounday of a regionV. A. Bryukhanov 3 The Goursat and Darboux problems for a certain class of hyperbolic equationsV. N. Vragov 7 Certain estimates for equations of mixed typeD. K. Gvazava 17 The generalized solvability of boundary value problems for systems of differential equations of mixed typeV. P. Didenko 24 The uniqueness of the solution of the contact inverse problem of potential theoryV. M. Isakov 30 A criterion for the continuity of the solution of the Goursat problem for a certain degenerate equationT. Sh. Kal'menov 41 Equations of mixed type and degenerate hyperbolic equations in multidimensional domainsG. D. Karatoprakliev 55 Weak solutions of the Darboux problemV. V. Kovrizhkin 68 The Cauchy problem for a second order quasilinear hyperbolic equation with initial data on the curve of parabolicityN. A. Lar'kin 76 Asymptotic behavior of the solution of the Cauchy problem as $t\rightarrow \infty$ for a certain hyperbolic system that describes the motion of a rotating fluidV. N. Maslennikova 85 The Darboux problem for a degenerate hyperbolic systemM. Meredov 97 On apriori estimates for the Tricomi and Darboux problemsA. M. Nakhushev 107 An interior inverse problem of the metaharmonic potential for a body that is close to the given oneA. I. Prilepko 118 Boundary value problems for the system $rot u+\lambda u=h$R. S. Saks 126 Certain boundary value problems for equations of mixed type with one and two curves of degeneracyM. S. Salakhitdinov, A. Tolipov 134 The uniqueness of the solution of a certain problem of A. V. BicadzeA. P. Soldatov 143 A certain class of projection methodsV. D. Charushnikov 147 Interior inverse problems for the logarithmic potentialV. G. Cherednichenko 154 A one-dimensional scattering theory. IA. B. Shabat 164 Reduction of the problem of the oblique derivative to a Fredholm integro-differential equationA. Yanushauskas 179 Letters to the Editor Comment on conditions for the convergence of spectral expansions corresponding to self-adjoint extensions of elliptic operatorsV. A. Il'in, Sh. A. Alimov 190