Partial Differential Equations


A method of potential theory in boundary value problems for $2m$parabolic equations in a semibounded domain with a nonsmooth lateral boundary E. A. Baderko

3 

Spectral problems K. B. Baikuziev

9 

A problem in the hydrodynamics of an ideal fluid that is connected with flotation S. A. Gabov

16 

Spectral theory of a problem of the small motions of an ideal compressible fluid in an elastic body A. Garadzhaev

21 

Splineforms, difference equations, approximation A. A. Dezin

32 

Stabilization of means with respect to time of the solution of the Cauchy problem for a parabolic equation V. N. Denisov

44 

A mixedcontact problem in the plane theory of elasticity in domains with a piecewise smooth boundary N. A. Zhura, A. P. Soldatov

55 

Averaging of a system of Beltrami equations V. V. Zhikov, M. M. Sirazhudinov

64 

An isotropic uniqueness theorem for the solution to the Cauchy problem for a secondorder parabolic equation L. I. Kamynin, B. N. Khimchenko

73 

On a problem of the generalized solvability of the first Darboux problem N. Yu. Kapustin, Z. V. Shonia

85 

On the theory of equations of mixed type with discontinuous coefficients. II M. G. Karatopraklieva

91 

The index of the Bitsadze–Samarskiǐ problem for harmonic functions K. Yu. Kishkis

105 

A singular integral equation of the first kind for the Neumann problem I. K. Lifanov

110 

Some properties of the eigen and associated functions of an elliptic secondorder operator A. S. Makin

116 

Disposition of the spectrum of a boundary value problem with mixed boundary conditions E. I. Moiseev

123 

Inverse problems for determining the parameters of the nonstationary kinetic transport equation from additional information on the traces of the unknown function A. I. Prilepko, N. P. Volkov

136 

The asymptotic closeness and stabilization of the solution of a parabolic equation V. D. Repnikov

146 

Equiconvergence of spectral expansions that correspond to nonselfadjoint extensions of a secondorder differential operator T. A. Samarskaya

155 

The Laplace–Radon integral transform and its application to the inhomogeneous Cauchy problem in a complex space B. Yu. Sternin, V. E. Shatalov

167 

Short Communications


Uniform convergence of series in a system of sines B. T. Bilalov

175 

The Tricomi problem when the line of change of type of the equation is closed M. M. Zainulabidov

177 