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 People of Soviet science Aleksandr Andreevič Samarskiǐ (on the occasion of his 60th birthday)A. N. Tikhonov, A. V. Bitsadze, N. P. Erugin, A. A. Arsen'ev, V. A. Il'in, A. G. Sveshnikov, Yu. P. Popov 1155 Ordinary Differential Equations Uniform estimation of eigenfunctions and an upper bound on the number of eigenvalues of the Sturm–Liouville operator with a potential from the class $L^p$V. A. Il'in, I. Jo 1164 Estimation of the difference of partial sums of expansions corresponding to two arbitrary nonnegative selfadjoint extensions of two operators of Sturm–LiouvilleV. A. Il'in, I. Jo 1175 Exact difference schemes and schemes of any order of accuracy for systems of second-order differential equationsV. L. Makarov, I. L. Makarov, V. G. Prikazchikov 1194 Some properties of operators with a discrete spectrumV. A. Sadovnichy, V. V. Dubrovskii 1206 Hypergeometric functions and ordinary linear differential equations with exponential coefficientsG. P. Sobol', I. M. Sobol' 1212 Stability in systems of ordinary differential equations with almost periodic coefficientsM. M. Khapaev, O. V. Anashkin 1216 Partial Differential Equations Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. IIV. N. Abrashin, P. P. Matus 1225 Statistical solutions of a nonlinear wave equationA. A. Arsen'ev 1239 The existence of generalized and stationary statistical solutions of a system of Vlasov equations in a bounded domainA. A. Arsen'ev 1253 A system of nonlinear partial differential equationsA. V. Bitsadze 1267 Applications of angular potential. Solution of problems of the diffraction of tide wavesS. A. Gabov, A. G. Sveshnikov 1271 The stability of a problem in the theory of heat conduction with nonclassical boundary conditionsN. I. Ionkin 1279 A problem for a heat equation with two-point boundary conditionsN. I. Ionkin, E. I. Moiseev 1284 An isotropic strict extremum principle in a planar domainL. I. Kamynin, B. N. Khimchenko 1296 The strict extremum principle for a $D-(\Phi , \Omega )$-elliptically connected second-order operatorL. I. Kamynin, B. N. Khimchenko 1307 Completeness of conservative schemes for two-dimensional equations of gas dynamicsO. S. Mazhorova, Yu. P. Popov 1318 Geometric interpretation of regular solutions of the equation $z_{xy}=\sin z$È. G. Poznyak 1332 The Cauchy problem for hypoelliptic systems and representation of the interactionI. A. Shishmarev 1337