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1990, Volume 314, Number 4  


MATHEMATICS
Norm-attaining operators, and the geometry of the unit sphere of a Banach space
B. V. Godun, S. L. Troyanski
777
Integral equations for the Lyapunov function
V. I. Zubov
780
Irreducible orthogonal decompositions of simple Lie algebras of type $A_n$
A. I. Kostrikin, Pham Huu Tiep
782
Approximation on a manifold by traces of functions of exponential type
S. M. Nikol'skii
786
Solution of a problem of H. Busemann
A. V. Pogorelov
790
Properties of functions in Gevrey classes
P. L. Ul'yanov
793

CYBERNETICS AND THE REGULATION THEORY
Solution of problems of the control of time-dependent automatic control systems by the diagonalization of the matrix of the linear part of a system of equations of motion
K. A. Abgaryan
798
Decomposition of the control of a dynamical system
F. L. Chernous'ko
801

MECHANICS
Local instability of fibrous composites
A. N. Guz
806
Aggregate models in the mechanics of systems of solid bodies
V. A. Konoplev
809
Formulations of the problem of continuous growth of elastic bodies
I. F. Obraztsov, V. N. Paimushin, I. N. Sidorov
813

THEORY OF ELASTICITY
On the numerical analysis of three-dimensional problems of compression waves flow about an obstacle or a slot in elastoplastic half-space
I. B. Petrov, I. G. Tormasov
817

GEOPHYSICS
Nonlinear generation of second harmonic by long wave on shelf
S. A. Arsen'ev, L. N. Rykunov, N. K. Shelkovnikov
821
Cosmic ray flare on 29 September 1989 from the data of the Yakutsk complex detector
G. F. Krymsky, A. I. Kuzmin, P. A. Krivoshapkin, S. A. Starodubtsev, I. A. Transkii, A. T. Filippov
824
Numerical modelling of the near-ground source electrical field in the ionosphere
G. L. Rybnikov, V. A. Morgunov, Yu. G. Khabazin
826
On the mechanism of the technogeneous earthquake in Khibiny
N. M. Syrnikov, V. M. Tryapitsyn
830
Results of thermometrical investigations under vibrator baseplate
L. L. Khudzinskii
834

MATHEMATICAL PHYSICS
Nonlinear Volterra integral equations of the first kind with an integrable singularity
V. I. Gryn'
838
Scattering of scalar fields by statistically rough surfaces
S. Z. Dunin, G. A. Maksimov
841

PHYSICS
Transformation of the explosion energy into microwave radiation
A. Ya. Brodskii, V. A. Vdovin, A. V. Korzhenevskii, A. S. Kravchenko, A. I. Pavlovskiĭ, V. D. Selemir, S. A. Sokolov, V. A. Cherepenin, Z. S. Chernov
846
Multichromatic glasses: a new material for recording of volumetric phase holograms
L. B. Glebov, N. V. Nikonorov, E. I. Panysheva, G. T. Petrovskiĭ, V. V. Savvin, I. V. Tunimanova, V. A. Tsekhomskii
849
On the nature of microwave absorption in high-$\mathrm{T}_{\mathrm{c}}$ superconductors in weak magnetic fields
G. T. Petrovskiĭ, N. V. Starostin
854
Elastic moduli of beryllium oxide at $10$$720$ K, from the X-ray data
N. N. Sirota, A. M. Kuzmina, N. S. Orlova
856

CRYSTALLOGRAPHY
Structure of the diamond-like phase of carbon obtained by detonation synthesis
A. L. Vereshchagin, G. V. Sakovich, P. M. Bryliakov, I. I. Zolotuhina, L. A. Petrova, N. N. Novoselov
866
 
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