Partial Differential Equations


Smoothness of a $2m$parabolic potential of a simple layer E. A. Baderko

3 

The basis property of some systems of exponentials of cosines and sines B. T. Bilalov

10 

Construction of regularizers for elliptic boundary problems on the plane V. S. Vinogradov

16 

Perturbations of the point spectrum A. A. Dezin

23 

Stabilization of a solution of the Cauchy problem for parabolic and hyperbolic equations V. N. Denisov

30 

Problems of the continuation of functions in connection with averaging theory V. V. Zhikov

39 

A nonlocal boundary value problem for a twodimensional Stokes system N. A. Zhura

50 

The Dirichlet problem and nonlocal boundary value problems for the wave equation T. Sh. Kal'menov, M. A. Sadybekov

60 

Solvability in the class $L_2$ of a problem with a boundary condition on a characteristic for a hyperbolic equation with order degeneration N. Yu. Kapustin

66 

Some results concerning Cauchy problems for overdetermined systems of linear differential equations M. V. Korovina

75 

Estimates that are sharp with respect to order for eigen and associated functions of an elliptic operator and their derivatives A. S. Makin

85 

Solution of the Tricomi problem in special domains E. I. Moiseev

93 

Regularized traces of a differential operator of Sturm–Liouville type with retarded argument M. T. Pikula

103 

A study of problems of the uniqueness of solutions in some nonlinear inverse problems in hydrodynamics A. I. Prilepko, I. A. Vasin

109 

Model nonlocal problems for elliptic equations in dihedral angles A. L. Skubachevskii

120 

Boundary properties of Cauchytype integrals A. P. Soldatov

131 

A complexanalytic Cauchy problem in a bounded domain B. Yu. Sternin, V. E. Shatalov

136 

The unconditional basis property of root vectors of nonlocal problems for systems of equations with deviating arguments V. V. Tikhomirov

147 

Short Communications


Uniqueness of the classical solution of a mixed problem for a hyperbolic equation with unbounded lower coefficients V. M. Govorov, È. K. Safiev

154 

The Riquier–Tricomi problem for a disk M. M. Zainulabidov

157 

The basis property of root vectors of discontinuous secondorder operators in a space of vectorfunctions I. S. Lomov

160 

On some eigenvalue problems for an equation of mixed type Ya. N. Mamedov

163 

Summability of root vector series of nonlocal elliptic problems by the Abel method M. A. Mustafin

167 

A boundary value problem for an equation of moisture transfer O. A. Repin

169 

Some properties of root vectors of a binomial fourthorder differential operator A. M. Sarsenbiev

171 

Solution of a boundary value problem for a parabolic system on a plane by the method of boundary integral equations V. A. Tveritinov

174 

A problem for harmonic functions with boundary values of a higherorder normal derivative Choi Sung Bong

175 

Some conditions for the solvability of equations of convolution type Yu. A. Grigor'ev

178 