Partial Differential Equations


On the question of the uniqueness of the solution of inverse problems for equations of mathematical physics D. 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 secondorder partial differential equations. I A. V. Borodin

18 

General boundary value problems for the Korteweg–de Vries equation in a bounded domain B. A. Bubnov

26 

The Dirichlet problem for an elliptic equation with degeneration of order in the interior of the domain V. I. Evsin

32 

The generalized Tricomi problem for mixed hyperbolicparabolic equations V. A. Eleev

41 

Solvability of a boundary value problem for a thirdorder quasilinear equation of mixedcomposite type R. A. Zueva

54 

Application of energy inequalities to an inverse problem for a hyperbolic equation S. I. Kabanikhin

61 

Boundary value problems for a modified equation of moisture transfer and discrete methods for their solution V. Z. Kanchukoev, M. Kh. Shkhanukov

68 

Nonlocal boundary value problems for parabolic equations A. A. Kerefov

74 

A boundary value problem for a degenerate hyperbolic equation in a characteristic crescent S. K. Kumykova

79 

A boundary value problem for a fourthorder quasilinear equation of mixed type M. M. Meredov, N. I. Samedov

92 

Boundary value problems for loaded integrodifferential equations of hyperbolic type and some of their applications to the prediction of ground moisture A. M. Nakhushev

96 

A problem of temperature distribution in ribbed bodies V. I. Paškovskii

106 

The dimension of the space of solutions of power growth for a class of elliptic systems D. Safarov

112 

On the theory of singular operators with a shift A. P. Soldatov

116 

A boundary value problem with general glueing conditions for an equation of mixed type with two lines of degeneracy Yu. U. Tashmirzaev

132 

Characteristic problem for secondorder strictly hyperbolic systems with two independent variables S. S. Kharibegashvili

142 

Problems with nonlocal boundary conditions for a class of equations of mixed type A. Hasanov

153 

Some systems of secondorder partial differential equations A. I. Yanushauskas

159 

Short Communications


Uniqueness of the solution of the Tricomi problem for an equation of mixed type with strong noncharacteristic degeneracy A. T. Dzhunisov

168 

The Dirichlet problem for a system of composite type that is analogous to an equation of A. V. Bicadze Z. D. Dublya

171 

The Tricomi problem for a loaded Lavrent'ev–Bicadze equation V. M. Kaziev

173 

A nonlocal problem for an equation of mixed parabolic type A. F. Napso

176 

An analoque of the Darboux problem for a hyperbolic system in threedimensional space D. Orazov

178 

Uniqueness of the solution of the Tricomi problem for an equation of mixed type in the plane S. M. Ponomarev

183 