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1987, Volume 292, Number 2  


MATHEMATICS
Engel Lie algebras
E. I. Zel'manov
265
Approximation of multivalued mappings and the differentiability of marginal functions
A. M. Rubinov
269
An analogue of the multidimensional discontinuous Dirichlet multiplier for nonselfadjoint extensions of the Laplace operator
Ya. Sh. Salimov
272
Transformation of one-dimensional diffusion fields in a plane
I. D. Cherkasov
276

FLUID MECHANICS
Steady flows with constant vorticity
A. A. Abrashkin, E. I. Yakubovich
280
Finite-dimensional attractors in shear flows with feedback
P. R. Gromov, A. B. Zobnin, M. I. Rabinovich, A. M. Reiman, M. M. Sushchik
284
A model of a two-dimensional polarizing continuum
N. G. Taktarov
288
Charging of dispersed-phase particles in one-dimensional weakly ionized aerosol flows
L. T. Chernyi, A. V. Filippov, N. L. Vasil'eva
291

THEORY OF ELASTICITY
Some direct schemes of the potential method
N. A. Matekhin, N. F. Morozov, M. V. Paukshto
296
Scattering of a Rayleigh wave by an elastic half-strip end-coupled with an elastic half-plane
S. P. Pelts, V. M. Shikhman
299

ASTRONOMY
On the intensities of ultraviolet emission lines of $\mathrm{CIII}$ in planetary nebulae
G. A. Gurzadyan
304

GEOPHYSICS
On the problem of detection and estimation of the background levels of the atmospheric pollution components
Yu. A. Izrael, M. Ya. Antonovskii, V. M. Buchstaber, E. A. Zelenyuk
309
Seismic fields and catastrophe theory
O. B. Khavroshkin, V. V. Tsyplakov
313

MATHEMATICAL PHYSICS
Some integrable cases of the Euler equations. II
O. I. Bogoyavlenskii
318
On the method of discrete ordinates
N. B. Engibaryan, È. A. Melkonyan
322
Steady regimes of the Hutchinson equation with diffusion
S. A. Kashchenko
327
Rigorous results in the problem of two-level atom interaction with radiation
E. A. Kochetov
331
Quasiclassical asymptotics of the scattering amplitude and cross section
D. R. Yafaev
334

PHYSICS
Influence of photon shower on the creation of a highenergy electron – positron pair in crystals
A. I. Akhiezer, V. I. Truten', N. F. Shul'ga
338
Resonant ionization of laser-excited rubidium vapor. Competition of multiphoton- and collision ionization
S. A. Bakhramov, A. M. Kokhkharov, V. V. Tikhonenko, P. Kh. Khabibullaev
341
On the equations of charged superfluid hydrodynamics
V. A. Krasnikov
345
Phase relaxation of quantum parametric oscillator
S. S. Fanchenko
351
Determination of the discrepancy and of the stresses in the multilayer heterostructures of the $\mathrm{A}^\mathrm{III}\mathrm{B}^\mathrm{V}$ type
F. N. Chukhovskii, Yu. P. Khapachev
354
Magnetic properties of trans-polyacetylene films in low-temperature range
O. I. Shevaleevskii, N. G. Trusevich, L. L. Larina
357
 
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