People of Soviet science


Andreǐ Nikolaevič Tihonov (on the occasion of his seventieth birthday) A. V. Bitsadze, V. A. Il'in, A. A. Samarskii, A. G. Sveshnikov

1731 

Ordinary Differential Equations


A problem in the theory of singular perturbations V. F. Butuzov, N. N. Nefedov

1736 

Singularly perturbed systems that contain an indeterminacy in the degeneracy A. B. Vasil'eva

1748 

Asymptotic behavior of the solution of a certain nonlinear problem with a singular boundary condition A. B. Vasil'eva, V. A. Anikeeva

1758 

A method for studying the periodic solutions of systems of difference and differentialdifference equations with small lag V. I. Rozhkov, M. A. Hekimova

1770 

Partial Differential Equations


The solvability of boundary value problems for higher order parabolic equations in domains with curvilinear lateral boundaries E. A. Baderko

1781 

A singularly perturbed equation of elliptic type with two small parameters V. F. Butuzov

1793 

The uniqueness of the classical (in the sense of V. A. Il'in) solution of the mixed problem for a hyperbolic equation with timedependent coefficients V. M. Govorov

1804 

The regularity of boundary points for the solution of a quasilinear elliptic equation that is degenerate on the boundary of the domain A. I. Ibragimov

1815 

The absolute and uniform convergence of Fourier series in the eigenfunctions of the operator of elasticity theory in an entire closed domain, and a substantiation of Fourier's method M. Ismatov

1824 

The $m$fold completeness of the system of generalized eigen and associated functions of a nonselfadjoint elliptic operator, and the membership of the classical eigen and associated functions of the operator in the class $W_2^1$ N. M. Krukovskii

1832 

Theorems on the $m$fold completeness of the generalized eigen and associated functions from $W_2^1$ of certain boundary value problems for elliptic equations and systems N. M. Krukovskii

1842 

The asymptotic expansion of the solution of a second order elliptic equation with a small parameter multiplying the highest derivatives E. F. Lelikova

1852 

The unique solvability of the mixed problem for a hyperbolic equation with complex potential I. S. Lomov

1866 

The Dirichlet problem for a second order elliptic equation V. P. Mikhailov

1877 

Generalized kernels of fractional order V. S. Serov

1892 

Finite difference equations


A certain method of investigating the solutions of difference equations of oscillation type in the case of a small step A. B. Vasil'eva, A. A. Plotnicov

1903 

The exactness of the scheme of variable directions for the heat equation in an arbitrary domain A. V. Gulin, I. V. Fryazinov

1906 