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1972, Volume 202, Number 3  


MATHEMATICS
Local limit theorems for large deviations
N. N. Amosova
503
Inequalities for moduli of continuity of functions defined on a domain and imbedding theorems
O. V. Besov
507
An initial boundary value problem for the equation $u_t+a_x(u)=0$
É. B. Bykhovskii
511
On the limit behavior of iteration sequences of certain quadratic transformations
S. S. Vallander
515
Branching of solutions of nonlinear mixed problems for almost linear hyperbolic systems on the plane
V. N. Gol'dberg
518
A nonlinear differential game of evasion
V. N. Lagunov
522
Classification of two-dimensional positive random walks and almost linear semimartingales
V. A. Malyshev
526
On summation of polynomial Fourier series expansions of functions of the classes $L^p_{\mu(x)}$ ($p\ge1$)
B. P. Osilenker
529
An entropy inequality and a criterion for the existence of statistical equilibrium
G. M. Pigolkin
532
The local section method for systems with refraction of trajectories
N. Kh. Rozov
535
On convergence of complex random functions in the $J$-topology
D. S. Sil'vestrov
539
On the covering of polyhedra by homothetic polyhedra
P. S. Soltan
541
Exact constants in inverse theorems in the theory of approximations
M. D. Sterlin
545
On the reconstruction of a function defined by integrals over a family of ellipsoids
S. V. Uspenskii
548
On the measure of the set of the midpoints of chords of a plane continuum
D. K. Faddeev
551

MECHANICS
“Resonance” in small oscillations of the spherical pendulum
F. Kh. Tselman
553

MATHEMATICAL PHYSICS
Differential geometry and Lagrangian mechanics with constraints
A. M. Vershik, L. D. Faddeev
555

PHYSICS
Some conformally flat cosmological models of axial symmetry
N. P. Bondarenko, P. K. Kobushkin
558
Investigation of lattice parameter change in diamond irradiated by fast electrons at different temperatures
S. T. Konobeevskii, Zh. S. Takibaev, A. G. Abdullin, V. F. Grishchenko
560
On thermodynamic limits of physical measurement accuracy
R. P. Poplavskii
562

GEOPHYSICS
An inverse kinematic problem of seismics for two-dimensional medium
A. V. Belonosova
572
Some geological-geochemical consequences of Dagestan earthquake of May, 14, 1970
G. I. Voitov, G. D. Osika, T. G. Grechukhina, I. A. Plotnikov
576
Gravimetric map of Australia and of the seas surrounding it
N. P. Grushinskii, N. B. Sazhina
580
 
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