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1987, Volume 294, Number 5  


MATHEMATICS
Some remarks on the theory of surface waves of finite amplitude
K. I. Babenko
1033
Improved two-term asymptotics of the distribution function of the eigenvalues of an elliptic operator on a compact manifold
A. V. Volovoi
1037
On a fractional-linear pencil of differential operators of Sturm–Liouville type
M. G. Gasymov, R. T. Pashaev
1041
The Dirichlet problem for the biharmonic equation in a half strip
A. M. Gomilko, V. V. Meleshko
1045
On the asymptotic properties of functions that are holomorphic in tubular cones
B. I. Zavialov
1048
On the moduli of smoothness of functions given on a sphere
G. A. Kalyabin
1051
On the analytic representation of majorized operators
A. G. Kusraev
1055
On goodness-of-fit tests for parametric hypotheses in $R^m$
A. M. Nikabadze, È. V. Khmaladze
1058
Averaging of a three-dimensional problem of elasticity theory in an inhomogeneous plate
G. P. Panasenko, M. V. Reztsov
1061
On the structure of an algebra of symmetries for a one-field evolution equation
V. V. Sokolov
1065
On the widths of function classes
V. N. Temlyakov
1069
The action of an embedding operator on minimal sequences in a Banach space
V. V. Shevchik
1072

GEOPHYSICS
The influence of volcanic eruptions on the stratospheric ozone layer
N. F. Elansky, S. G. Zvenigorodskii, S. P. Smyshlyaev
1077

MATHEMATICAL PHYSICS
On phase transition in the Dicke model with two-photon interaction
A. A. Bakasov
1082

PHYSICS
Specificities of the heat exchange between a solid body and superfluid helium
V. P. Belyakov, N. M. Volkova, A. M. Makarov, V. A. Shaposhnikov
1087
Perturbation theory and the quasi-classical approximation in an energetic representation
P. V. Elyutin
1089
Phenomenon of photogeneration efficiency rising in amorphous polymer semiconductors over the range of absorption of the complex with charge transfer
N. G. Kuvshinskii, I. I. Lyashko, N. G. Nakhodkin, V. I. Strikha, V. M. Komko
1093
The law of magnetostatic oscillation dispersion and the magnetddynamic resonance in a plate of weak $\mathrm{FeBO}_3$ ferromagnetic
A. I. Pankrats, G. A. Petrakovskii, A. F. Smyk
1097
X-Ray spectroscopy investigation of the energy band structure of $\mathrm{CdCr}_2\mathrm{S}_4$
S. I. Radautsan, Yu. V. Sukhetskii, A. N. Gusatinskii, K. G. Nikiforov, A. V. Soldatov
1102
Formation and universal properties of the size distributions in the fragmentation theory
R. Z. Sagdeev, A. V. Tour, V. V. Yanovskii
1105
 
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