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1987, Volume 293, Number 6  


MATHEMATICS
Construction of weakly commuting continuations of operators and the problem of the symmetrization of hyperbolic equations
R. G. Airapetyan
1289
On an analogue of Hörmander's theorem for domains different from $R^n$
N. K. Karapetyants
1294
On generalizations of the Weyl formula for degenerate operators
S. Z. Levendorskii
1297
The causal structure of a Lorentzian manifold determines its conformal geometry
A. V. Levichev
1301
An analytic proof of the real part of Novikov's inequalities
A. V. Pajitnov
1305
Direct and converse theorems of rational approximation in the spaces $L_p[-1,1]$ and $C[-1,1]$
A. A. Pekarskii
1307
On the mathematical theory of a hydromagnetic dynamo in a random flow
B. L. Rozovskii
1311
On functions, satisfying the Lipschitz condition, in multidimensional problems of numerical mathematics
I. M. Sobol'
1314

CYBERNETICS AND THE REGULATION THEORY
A mathematical model of the pipeline organization of competing processes
Yu. V. Kapitonova, P. S. Klyaus, N. S. Kovalenko
1320
Algebraic representation of group choice
V. S. Levchenkov
1324

MECHANICS
On the prediction of land depression due to drainage of soils
S. Sh. Nuridzhanyan, V. S. Sargsyan, G. T. Khachaturyan
1330

THEORY OF ELASTICITY
Existence of weakly damped vibrations of a thin spherical shell in a fluid
V. B. Poruchikov, A. V. Stepanov
1335

GEOPHYSICS
On the contribution of lunar tides to the Earth evolution
A. S. Monin, O. G. Sorokbtin, S. A. Ushakov
1341

MATHEMATICAL PHYSICS
Control of a system with a strange attractor by means of periodic parametric action
V. V. Alekseev, A. Yu. Loskutov
1346
Invariant description of fermion fields by scalar and vector fields
V. A. Zhelnorovich
1349
Empirical estimates for the smoothness of the solutions of linear ill-posed problems
S. I. Kavkyanov
1353

PHYSICS
The properties of the optical dielectric microresonators
V. B. Braginskii, V. S. Il'chenko
1358
Role of spin diffusion in the nuclear quadrupole spin-phonon interaction in insulating crystals
A. A. Kuleshov, A. L. Stolypko, E. V. Charnaya, V. A. Shutitov
1361
On the problem of light pulse propagation in resonance absorbing gaseous medium
V. A. Levin, A. A. Sorokin, A. M. Starik
1364
Resonance excitation of surface sound waves by quasi-two dimensional local plasmons
V. N. Nishanov, P. Kh. Khabibullaev
1369
A nonlinear perturbation theory for weakly supercritical stratified shear flow
S. M. Churilov, I. G. Shuhman
1372
Temperature-dependent potential barriers on the surface of semiconductive ceramic $\mathrm{BaTiO}_3$
B. A. Shustrov, I. T. Sheftel, V. K. Yarmarkin
1378
 
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