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1986, Volume 290, Number 5  


MATHEMATICS
Extremal problems in approximation theory and inequalities for rearrangements
V. F. Babenko
1033
Reconstruction of a compactly supported function from its integrals on lines intersecting a set of points in a space
I. M. Gel'fand, A. B. Goncharov
1037
Coefficient criteria and sufficient conditions for asymptotic stability with probability one of linear systems of Itô stochastic differential equations
D. G. Korenevskij
1041
Stability of $N$-cores in games with structured payoff functions
N. S. Kukushkin
1045

CYBERNETICS AND THE REGULATION THEORY
Decision-making in intelligent robots
R. A. Aliev, G. M. Ulanov, A. È. Tserkovnyi
1048
Adaptive optimization algorithms in an integral macroeconomic model
V. V. Ivanov, Yu. P. Yatsenko
1053

FLUID MECHANICS
Numerical method of solving the full viscous shock-layer equations
S. A. Vasil'evskii, G. A. Tirskii, S. V. Utyuzhnikov
1058
Variant of the model of diffusion with a finite velocity for calculating dispersion in porous media
A. D. Girgidov
1062
Entry of a slender wedge into a fluid
A. L. Gonor
1068
Analytical research of the process of mud filtration from well into stratum
V. I. Ivannikov, È. I. Kucherenko, L. P. Mikhlin
1072

GEOPHYSICS
Hydrothermally active fault on the floor of Lake Baikal central part
V. A. Golubev
1077
On the scattering of sound by temperature inhomogeneities in the ocean
V. P. Kuznetsov
1081
Synoptic motions of finite amplitude
G. G. Sutyrin
1084

MATHEMATICAL PHYSICS
Burning wave asymptotics in a nonlinear inhomogeneous medium with slowly varying properties
K. A. Volosov, V. G. Danilov, V. P. Maslov
1089

PHYSICS
Investigation of small ultrasonic vibrations by means of optical dynamical holography
Yu. O. Barmenkov, V. V. Zosimov, N. M. Kozhevnikov, L. M. Lyamshev, S. A. Sergushchenko
1095
On the regularities of change of the $3100$$3700$ ρμ$^{-1}$ band of water Raman scattering in salt aqueous solutions
T. A. Gogolinskaya, S. V. Patsaeva, V. V. Fadeev
1099
Luminescence and stimulated multiwave radiation of $\mathrm{Ho}^{3+}$ and $\mathrm{Er}^{3+}$ ions in $\mathrm{YAlO}_3$ rhombic crystals
A. A. Kaminskii
1103
Interaction between $\mathrm{CO}_2$ laser continuous radiation and fluids
A. V. Spivak
1107
 
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