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 Partial Differential Equations A certain property of the solutions of the singular Cauchy problem for the Euler-Darboux-Poisson equationS. A. Aldashev 3 The uniqueness of the determination of the coefficient and right-hand side of the transport equationD. S. Anikonov 8 The correctness of an optimal control problem with an integral quadratic efficiency criterionN. Ya. Beznoshchenko 19 Some boundary value problems for a certain class of equations of mixed type in the three-dimensional caseV. N. Vragov 27 Boundary value problems for a three-dimensional equation of mixed typeV. P. Didenko 33 The solvability of the Holmgren problem for a certain degenerate elliptic equationV. I. Evsin 38 A certain inverse problem for the Euler–Darboux–Poisson equationT. Eldesbaev 47 A theorem on the uniqueness and membership in the class $W_2^1$ of the classical solution of a mixed problem for a nonselfadjoint hyperbolic equation in an arbitrary cylinderV. A. Il'in 60 Inverse theorems on the smoothness of potentialsV. M. Isakov 66 Certain boundary value problems for mixed-parabolic equationsA. A. Kerefov 75 Sufficient optimality conditions for problems with second order differential equations of elliptic type in the presence of phase constraintsYu. P. Krivenkov 85 The strong solvability of a certain boundary value problem for an equation of mixed type with two parallel lines of degeneracyT. I. Lanina 100 Three-dimensional generalized holomorphic vectorsE. I. Obolashvili 108 Boundary value problems for degenerate multidimensional hyperbolic equationsN. I. Popivanov 116 Connected operators and boundary value problems of hyperbolic and degenerate hyperbolic partial differential equationsV. I. Paškovskii 127 A certain class of singular integral equations with a shift of non-Carleman typeA. P. Soldatov 137 The Dirichlet problem for the Tricomi equation in a rectangleM. M. Khachev 151 The solvability “in the small” of the inverse problem of logarithmic potentialV. G. Cherednichenko 161 Some questions on the distribution of the critical points of harmonic polynomials in three variablesA. Yanushauskas 170 Short Communications A certain problem of A. V. Bicadze for an equation of mixed type with a closed curve of degeneracyA. B. Bazarbekov 176 On the question of the explicit integration of second order linear partial differential equationsG. A. Dombrovskii 180 A certain fourth order equation of composite typeZ. D. Dublya 183 The critical points of the Green's function for the Laplace equation of close domainsV. I. Ermakov 186 The ill-posedness of the multidimensional analogue of the Darboux problem for a hyperbolic equation with degeneracyS. V. Zubarev 188 A certain mixed problem for degenerate elliptic equationsA. M. Nakhushev 192 On the inverse problem of logarithmic potentialG. A. Pavlov 196