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 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 perturbationsV. F. Butuzov, N. N. Nefedov 1736 Singularly perturbed systems that contain an indeterminacy in the degeneracyA. B. Vasil'eva 1748 Asymptotic behavior of the solution of a certain nonlinear problem with a singular boundary conditionA. B. Vasil'eva, V. A. Anikeeva 1758 A method for studying the periodic solutions of systems of difference and differential-difference equations with small lagV. 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 boundariesE. A. Baderko 1781 A singularly perturbed equation of elliptic type with two small parametersV. 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 time-dependent coefficientsV. M. Govorov 1804 The regularity of boundary points for the solution of a quasilinear elliptic equation that is degenerate on the boundary of the domainA. 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 methodM. 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 systemsN. M. Krukovskii 1842 The asymptotic expansion of the solution of a second order elliptic equation with a small parameter multiplying the highest derivativesE. F. Lelikova 1852 The unique solvability of the mixed problem for a hyperbolic equation with complex potentialI. S. Lomov 1866 The Dirichlet problem for a second order elliptic equationV. P. Mikhailov 1877 Generalized kernels of fractional orderV. 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 stepA. B. Vasil'eva, A. A. Plotnicov 1903 The exactness of the scheme of variable directions for the heat equation in an arbitrary domainA. V. Gulin, I. V. Fryazinov 1906