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1982, Volume 262, Number 1  


MATHEMATICS
On the representation of zero by a form in the field of $p$-adic numbers
G. I. Arkhipov, A. A. Karatsuba
11
An extension of the Markov inequality
B. D. Boyanov
13
Boundary value problems for quasilinear degenerate elliptic and parabolic equations of second order
A. V. Ivanov
15
On the structure of the set of all isometric transformations of a surface of positive curvature that is diffeomorphic to a disk
S. B. Klimentov
19
Difference schemes of second-order precision for the axially symmetric Poisson equation on generalized solutions in $W_2^2$
R. D. Lazarov, V. L. Makarov
22
On the dimension of some spaces
I. M. Leibo
26
Multiplicative decompositions of simple Lie algebras
A. I. Kostrikin, I. A. Kostrikin, V. A. Ufnarovskii
29
Algebraic differential equations and systems having holomorphic solutions
V. P. Petrenko
34
Feynman measures with correlation operators of indefinite sign
A. V. Uglanov
37
Exponentials of Peano continua – fiberwise version
V. V. Fedorchuk
41
Properties of solutions of some control problems connected with the Navier–Stokes system
A. V. Fursikov
44

FLUID MECHANICS
A mathematical theory for the displacement of oil by chemical slugs
P. G. Bedrikovetskii
49

GEOPHYSICS
Variational principles for the steady flows of ideal fluid
M. A. Grinfel'd
54
An electrostatic field in the gap between flat, non uniformly charged particles of rocks with a high surface potential
V. I. Fedodeev
58

MATHEMATICAL PHYSICS
Spectrum of the linearized problem of flow of a viscous incompressible liquid round a body
K. I. Babenko
64
On the lack of uniqueness in the electromagnetic field propagation velocity
Yu. A. Baurov, Yu. N. Babaev, V. K. Ablekov
68
On the Chapman–Enskog and Grad methods of the solution of Boltzmann equation
A. V. Bobylev
71
Wave field in the vicinity of boundary of a wide refractive waveguide
V. S. Buslaev
75
Gelfand–Levitan equation for the quantum nonlinear Schrödinger model with attraction
F. A. Smirnov
78

PHYSICS
Elm's fire and glow on objects in a cloud of electrically charged water drops
B. B. Voitsekhovskii
84
Phase diagram of the $\mathrm{Fe}$$\mathrm{B}$ system in melt
S. N. Konev, S. P. Dovgopol, P. V. Geld
88
Luminescence of biogenous porphyrins under selective resonance laser excitation
M. N. Sapozhnikov, V. I. Alekseev, N. A. Kirichenko, V. M. Shustryakov, V. K. Podymov, L. A. Piruzyan
90

CRYSTALLOGRAPHY
Crystal- and molecular structure of $5$-iso-propylthiobarbituric acid
A. A. Dvorkin, S. G. Soboleva, Yu. A. Simonov, S. A. Andronati, T. I. Malinovskii
99
 
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