People of Soviet science


Yuriǐ Alekseevich Mitropol'skiǐ (on the occasion of his seventieth birthday) N. P. Erugin, V. S. Korolyuk, O. B. Lukova

3 

Partial Differential Equations


On smoothness of the solution of a degenerate problem with a directional derivative Sh. A. Alimov

10 

On an “almost” model boundary value problem for a higherorder parabolic equation E. A. Baderko

22 

On a system of differential equations with operator coefficients K. B. Baikuziev

29 

Spectral theory of a problem of small oscillations of an ideal fluid in a rotating elastic vessel A. Garadzhaev

38 

On the stabilization of means with respect to time for the difference of solutions of the Cauchy problem for hyperbolic equations V. N. Denisov

47 

A lower bound for the sum of squares of fundamental functions of a secondorder selfadjoint elliptic operator A. E. Evzhanov

62 

The Tricomi problem for a parabolichyperbolic equation with a degenerate hyperbolic side. I N. Yu. Kapustin

72 

Nonlocal boundary value problems for equations of mixed type G. D. Karatoprakliev

78 

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

85 

Secondorder equations with an elliptic operator with respect to the space variables A. G. Kuz'min

102 

Estimates for the integral moduli of continuity of the higher derivatives of solutions of elliptic equations M. Morales

113 

Inverse problems for the determination of parameters of a nonstationary transport equation by overdeterminations of integral type A. I. Prilepko, N. P. Volkov

124 

On the solvability of inverse boundary value problems for the determination of the coefficient preceding the lower derivative in a parabolic equation A. I. Prilepko, V. V. Solov'ev

136 

On certain problems of the quadratic regulator for linear hyperbolic equations M. Rakhimov

143 

On the Riesz means for root function expansions of certain nonlocal boundary value problems Ya. Sh. Salimov

155 

A mixed problem of the plane theory of elasticity in regions with a piecewisesmooth boundary A. P. Soldatov

161 

Short Communications


Asymptotic behavior of a spectral function of the Schrödinger operator with potential $q\in L_2(R^3)$ R. R. Ashurov

169 

On an inverse Hausdorff–Young inequality for eigen and associated functions of the Sturm–Liouville operator with discontinuous coefficients Kh. M. Karov

172 

On a nonlocal problem for functions harmonic in a multiply connected domain K. Yu. Kishkis

174 

On the basis property of a system of sines E. I. Moiseev

177 