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1981, Volume 261, Number 1  


MATHEMATICS
On geometric criteria for strong linear convexity
Yu. B. Zelinskii
11
Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations
A. R. Its
14
A limit theorem for processes of stochastic optimization and estimation with constant step
Yu. M. Kaniovskii
18
Connectedness of sets in best approximation problems
S. V. Konyagin
20
On the exceptional set of a sum of a prime and a perfect square
I. V. Polyakov
23
Weyl groups of parabolic subgroups of semisimple real Lie groups
S. Yu. Prishchepionok
26
On the $G$-convergence of quasilinear elliptic operators with unbounded coefficients
U. Raitums
30
Sharp estimates of Fourier coefficients on classes of continuous and differentiable periodic functions of several variables
A. I. Stepanets
34
On the maximal probability for sums of independent random vectors
N. G. Ushakov
38

MECHANICS
On a criterion of solid body destruction under compression along cracks (a three-dimensional problem)
A. N. Guz
42
Stresses in incompressible media. The equialence of certain formulations of problems from the theory of ideal plasticity
Ya. A. Kamenyarzh
46

FLUID MECHANICS
Stresses in incompressible media. Equivalence of the statements of the ideal plasticity theory problems
V. A. Levin, V. V. Markov, S. F. Osinkin
50

GEOPHYSICS
A hypothesis of the protoplanet material neutron irradiation and chang in isotopic composition of some elements
Yu. P. Bulashevich, R. L. Kharus
53
Laboratory simulation of the tree unsteady penetrating convection
A. A. Varfolomeev, G. G. Sutyrin
55
Development of foci and the forecast of the repeated strongest earthquakes
A. V. Vvedenskaya
59
Determination of tsunamigeneity of an earthquake from the record of one seismic station
Yu. F. Kopnichev, I. L. Nersesov
63

MATHEMATICAL PHYSICS
On averaging and stability in systems with singularities
M. M. Khapaev, O. P. Filatov
67

PHYSICS
Inversion of wave front at forced scattering of ultraviolet radiation
V. N. Belousov, Yu. K. Nizienko, N. F. Pilipetskiĭ, V. V. Ragulsky
71
On the determination of impedance in the acoustics of moving medium
L. M. Lyamshev
74
On the theory of phase transitions of the first kind
G. A. Martynov, G. N. Sarkisov
79

CRYSTALLOGRAPHY
Crystal structure of $3{,}3{,}3$-triphenyl-$3$-phosphorus-$1{,}3$-dihydro-$1$-oxoisobenzofuran, $(\mathrm{C}_6\mathrm{H}_5)_3\mathrm{P}(\mathrm{C}_6\mathrm{H}_4)\mathrm{CO}_2\cdot2\mathrm{H}_2\mathrm{O}$
V. A. Lebedev, R. I. Bochkova, È. A. Kuz'min, V. V. Sharutin, N. A. Osanova, N. V. Belov
91
 
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