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1987, Volume 294, Number 6  


MATHEMATICS
A local existence theorem in the theory of surface waves of finite amplitude
K. I. Babenko
1289
On exact constants in Sobolev embedding theorems
V. I. Burenkov, V. A. Gusakov
1293
On a criterion for randomness
V. G. Vovk
1298
A multidimensional model of rare random scatterers
A. G. Golitsyna, S. A. Molchanov
1302
Regularity of harmonic mappings as a consequence of an instability property
A. V. Tyrin
1306

CYBERNETICS AND THE REGULATION THEORY
Criteria for controllability of two-dimensional nonlinear systems in a domain with constraints on the control
S. V. Emel'yanov, S. K. Korovin, S. V. Nikitin
1310
Directed corrections in the method of harmonic balance
A. M. Krasnosel'skii
1314
Tabular principle in the information system engineering
I. F. Obraztsov, G. V. Krivoruchko, V. I. Rabinovich, M. P. Tsapenko
1319

FLUID MECHANICS
Resonance excitation and screening of waves in a rotating liquid
S. V. Bazdenkov, N. N. Morozov, O. P. Pogutse
1323
Turbulent diffusion in media subjected to rapid uniform deformation
V. L. Zimont, V. A. Sabel'nikov
1327
Dependence of turbulent viscosity on molecular viscosity
V. V. Novozhilov
1331

GEOPHYSICS
Annual variability of longitude-mean values of the components of Earth – atmosphere radiation budget derived from satellite data
F. I. Rudyaev, V. K. Trofimov
1336

MATHEMATICAL PHYSICS
The Sturm–Liouville operator with a nonlocal boundary condition of the second kind
V. A. Il'in, E. I. Moiseev
1340
The semi-inversion method in problems of wave diffraction on bifurcations of irregular plane waveguides
A. S. Il'inskii, A. A. Kuraev, G. Ya. Slepyan, A. Ya. Slepyan
1345
A class of selfadjoint operators connected with the $P(\varphi)_n$ model
E. T. Shavgulidze
1349
Estimates for the Ursell functions for fields with attraction
S. B. Shlosman
1354

PHYSICS
Application of metal resinate films in electron- and photolithography
V. P. Ageev, I. V. Baranenkov, K. A. Valiev, L. V. Velikov, V. I. Konov, A. I. Maslakov, V. M. Melnikov, A. M. Prokhorov
1358
Fractal properties of wave-overturning zones on sea surface
G. M. Zaslavsky, E. A. Sharkov
1362
Behavior of lead magnesium niobate crystal in the region of phase coexistence
G. A. Smolenskii, N. K. Yushin, S. I. Smirnov, S. N. Dorogovtsev
1366

CRYSTALLOGRAPHY
Crystal structure of $\mathrm{NaBa}_6\mathrm{Nd}[\mathrm{SiO}_4]$
R. A. Tamazyan, Yu. A. Malinovskii
1377
 
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