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1989, Volume 309, Number 1  


MATHEMATICS
Estimates for the stability of a general discretization method
N. Yu. Bakaev
11
On the asymptotic theory of decomposable statistics based on frequencies
V. P. Borovikov
16
Summation of $n$-multiple expansions in principal functions of pencils of ordinary differential operators
A. I. Vagabov
20
Automata models of programs
V. A. Zakharov
24
Equations of energy transformation
V. I. Zubov
28
Cauchy problems for overdetermined systems of linear differential equations
M. V. Korovina
31
Some global results for linearizable and nonlinearizable fourth-order Sturm–Liouville problems
A. P. Makhmudov, Z. S. Aliyev
34
Generalized functional-invariant solutions of a second-order multidimensional scalar equation of general form
É. V. Nikol'skii
38
On a valued field introduced by A. Robinson, and structures connected with it
V. G. Pestov
43
The Cauchy distribution on abelian groups and its characterization
G. M. Feldman
46
On the determination of a function from its integrals along a family of rays associated with a one-dimensional manifold in $\mathbf{R}^n$
V. P. Khakhlyutin
49

AERODYNAMICS
Three-dimensional inviscid perturbations induced by the intrinsic pressure gradient in a boundary layer
V. I. Zhuk, O. S. Ryzhov
52

GEOPHYSICS
On the three-dimensional non-viscous disturbances with self-induced pressure gradient in boundary layer
M. S. Zhdanov, V. V. Spichak
57
Seismic activity of transverse ruptures in the Olkhon-Svyatonossky zone of the Lake Baikal
S. L. Solov'ev, S. A. Kovachev, L. A. Misharina, G. F. Ufimtsev
61
Evolution of thermal regime of sedimentation under condition of non-stationary heat flow from the depth
E. I. Suetnova
65

MATHEMATICAL PHYSICS
Summation of series of special functions that arise in the calculation of thermodynamic potentials
A. S. Vshivtsev, V. K. Peres-Fernandes
70
High-frequency asymptotics of the Green function of the Helmholtz equation in a domain with a conic boundary
V. P. Smyshlyaev
74

PHYSICS
On the anomalies in exit depth of electrons in germanium crystal
A. M. Afanas'ev, R. M. Imamov, A. V. Maslov, E. Kh. Mukhamedzhanov, A. A. Bzheumikhov
78
Measurement of molecular constants of the vibrational-rotational transition $001(6_{33})\to020(5_{50})$ in water vapour behind the shock wave
A. B. Britan, V. A. Levin, A. A. Sorokin, A. M. Starik, V. G. Testov, A. N. Khmelevskiĭ
82
Non-equilibrium phase transition in the system of interacting Brownian particles
Yu. N. Devyatko, V. N. Tronin
85
Generation of large-scale structures at turbulent convection in a rotating layer heated from below
V. D. Zimin, G. V. Levina, S. S. Moiseev, A. V. Tour
88
Effect of chemical composition on heat-and temperature conductivity and heat capacity of gallium garnets
V. V. Osiko, G. I. Petrunin, M. I. Timoshechkin, V. G. Popov
92
Equilibrium configurations of baryon protomatter
G. T. Ter-Kazaryan
97

CRYSTALLOGRAPHY
Crystal- and molecular structure of $(1S,14S)$-bicyclo $[12,10,0]$-$3,6,9,12,15,18,21,24$-octaoxatetracosane
S. T. Malinovskii, Yu. A. Simonov, N. G. Lukyanenko, A. V. Lobach, T. I. Malinovskii
102
Restoration of the phase of an x-ray wave diffracted by a layered monocrystal structure
P. V. Petrashen, F. N. Chukhovskii
105

Erratum: “The method of conjugate families in the theory of moduli”
V. A. Shlyk
 
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