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1979, Volume 15, Number 7  


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–Liouville
V. A. Il'in, I. Jo
1175
Exact difference schemes and schemes of any order of accuracy for systems of second-order differential equations
V. L. Makarov, I. L. Makarov, V. G. Prikazchikov
1194
Some properties of operators with a discrete spectrum
V. A. Sadovnichy, V. V. Dubrovskii
1206
Hypergeometric functions and ordinary linear differential equations with exponential coefficients
G. P. Sobol', I. M. Sobol'
1212
Stability in systems of ordinary differential equations with almost periodic coefficients
M. M. Khapaev, O. V. Anashkin
1216

Partial Differential Equations
Difference schemes for nonlinear hyperbolic equations with piecewise-smooth solutions. II
V. N. Abrashin, P. P. Matus
1225
Statistical solutions of a nonlinear wave equation
A. A. Arsen'ev
1239
The existence of generalized and stationary statistical solutions of a system of Vlasov equations in a bounded domain
A. A. Arsen'ev
1253
A system of nonlinear partial differential equations
A. V. Bitsadze
1267
Applications of angular potential. Solution of problems of the diffraction of tide waves
S. A. Gabov, A. G. Sveshnikov
1271
The stability of a problem in the theory of heat conduction with nonclassical boundary conditions
N. I. Ionkin
1279
A problem for a heat equation with two-point boundary conditions
N. I. Ionkin, E. I. Moiseev
1284
An isotropic strict extremum principle in a planar domain
L. I. Kamynin, B. N. Khimchenko
1296
The strict extremum principle for a $D-(\Phi , \Omega )$-elliptically connected second-order operator
L. I. Kamynin, B. N. Khimchenko
1307
Completeness of conservative schemes for two-dimensional equations of gas dynamics
O. 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 interaction
I. A. Shishmarev
1337
 
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