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1970, Volume 192, Number 1  


MATHEMATICS
Orthogonal systems of elements in smooth Banach spaces
B. E. Veits
9
The finding of saddle points on polyhedra
V. F. Dem'yanov
13
The simulation according to realizability of pseudo-Boolean algebras
F. A. Kabakov
16
A certain class of nonlinear operator equations, and certain equations of mechanics
R. I. Kachurovskii
19
Repetition of two-person games in long intervals of time
A. Yu. Levin
23
Two examples for the theory of the dimension of bicompacta
I. K. Lifanov, V. V. Filippov
26
Families of homeomorphisms that are uniformly equicontinuous with respect to metrics
V. P. Luferenko, G. D. Suvorov
30
A certain inverse spectral analysis problem for Hill's equation
I. V. Stankevich
34
Homological properties of minimal compacta in the multidimensional Plateau problem
A. T. Fomenko
38
Coercive boundary value problems for difference operators
L. S. Frank
42
On a theorem of M. V. Keldysh and M. A. Lavrent’ev
B. N. Khimchenko
46

FLUID MECHANICS
Lagrangian invariants in the dynamics of nonviscous compressible fluids
B. L. Gavrilin, M. M. Zaslavskii
48

THEORY OF ELASTICITY
Periodic convolution equations and properties of their solutions
V. A. Babeshko
52

MATHEMATICAL PHYSICS
Model of the neutrino in the general theory of relativity with groups of motion $G_3$ on $V_2$
A. N. Golubyatnikov
55
Construction of solutions of Dirichlet and Neumann problems for an unclosed surface
I. M. Polishchuk
59

PHYSICS
The orientation dependence of line parameters of the characteristic X-ray spectrum of the atoms of elements in monocrystals. Basic parameters of $K$- and $L$-series $\mathrm{V}$ line in $\mathrm{V}_2\mathrm{O}_5$ monocristal
I. B. Borovskii, V. I. Matyskin
63
Short-wave radio-emission and blast wave of an explosion
A. P. Boronin, Yu. A. Medvedev, B. M. Stepanov
67
On Compton's mechanism of electron gas heating by means of lasers
F. V. Bunkin, A. E. Kazakov
71
Instability of inhomogeneous high-pressure plasma in a homogeneous magnetic field
A. B. Mikhailovskii
74

CRYSTALLOGRAPHY
On details of Paterson's syntheses directly connected with structure symmetry elements
È. A. Kuz'min, V. P. Golovachev, N. V. Belov
86
 
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