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 Partial Differential Equations On the question of the uniqueness of the solution of inverse problems for equations of mathematical physicsD. S. Anikonov 3 Existence of a solution of the problem of determining the coefficient $q$ in the equation $u_t-\Delta u+qu=F$N. Ya. Beznoshchenko 10 Differentiability with respect to the parameter of the solutions of nonlinear loaded boundary value problems for second-order partial differential equations. IA. V. Borodin 18 General boundary value problems for the Korteweg–de Vries equation in a bounded domainB. A. Bubnov 26 The Dirichlet problem for an elliptic equation with degeneration of order in the interior of the domainV. I. Evsin 32 The generalized Tricomi problem for mixed hyperbolic-parabolic equationsV. A. Eleev 41 Solvability of a boundary value problem for a third-order quasilinear equation of mixed-composite typeR. A. Zueva 54 Application of energy inequalities to an inverse problem for a hyperbolic equationS. I. Kabanikhin 61 Boundary value problems for a modified equation of moisture transfer and discrete methods for their solutionV. Z. Kanchukoev, M. Kh. Shkhanukov 68 Nonlocal boundary value problems for parabolic equationsA. A. Kerefov 74 A boundary value problem for a degenerate hyperbolic equation in a characteristic crescentS. K. Kumykova 79 A boundary value problem for a fourth-order quasilinear equation of mixed typeM. M. Meredov, N. I. Samedov 92 Boundary value problems for loaded integro-differential equations of hyperbolic type and some of their applications to the prediction of ground moistureA. M. Nakhushev 96 A problem of temperature distribution in ribbed bodiesV. I. Paškovskii 106 The dimension of the space of solutions of power growth for a class of elliptic systemsD. Safarov 112 On the theory of singular operators with a shiftA. P. Soldatov 116 A boundary value problem with general glueing conditions for an equation of mixed type with two lines of degeneracyYu. U. Tashmirzaev 132 Characteristic problem for second-order strictly hyperbolic systems with two independent variablesS. S. Kharibegashvili 142 Problems with nonlocal boundary conditions for a class of equations of mixed typeA. Hasanov 153 Some systems of second-order partial differential equationsA. I. Yanushauskas 159 Short Communications Uniqueness of the solution of the Tricomi problem for an equation of mixed type with strong noncharacteristic degeneracyA. T. Dzhunisov 168 The Dirichlet problem for a system of composite type that is analogous to an equation of A. V. BicadzeZ. D. Dublya 171 The Tricomi problem for a loaded Lavrent'ev–Bicadze equationV. M. Kaziev 173 A nonlocal problem for an equation of mixed parabolic typeA. F. Napso 176 An analoque of the Darboux problem for a hyperbolic system in three-dimensional spaceD. Orazov 178 Uniqueness of the solution of the Tricomi problem for an equation of mixed type in the planeS. M. Ponomarev 183