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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
777–779
Integral equations for the Lyapunov function
V. I. Zubov
780–782
Irreducible orthogonal decompositions of simple Lie algebras of type $A_n$
A. I. Kostrikin, Pham Huu Tiep
782–786
Approximation on a manifold by traces of functions of exponential type
S. M. Nikol'skii
786–789
Solution of a problem of H. Busemann
A. V. Pogorelov
790–792
Properties of functions in Gevrey classes
P. L. Ul'yanov
793–797

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
798–801
Decomposition of the control of a dynamical system
F. L. Chernous'ko
801–805

MECHANICS
Local instability of fibrous composites
A. N. Guz
806–809
Aggregate models in the mechanics of systems of solid bodies
V. A. Konoplev
809–813
Formulations of the problem of continuous growth of elastic bodies
I. F. Obraztsov, V. N. Paimushin, I. N. Sidorov
813–816

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
817–820

GEOPHYSICS
Nonlinear generation of second harmonic by long wave on shelf
S. A. Arsen'ev, L. N. Rykunov, N. K. Shelkovnikov
821–824
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
824–826
Numerical modelling of the near-ground source electrical field in the ionosphere
G. L. Rybnikov, V. A. Morgunov, Yu. G. Khabazin
826–829
On the mechanism of the technogeneous earthquake in Khibiny
N. M. Syrnikov, V. M. Tryapitsyn
830–833
Results of thermometrical investigations under vibrator baseplate
L. L. Khudzinskii
834–837

MATHEMATICAL PHYSICS
Nonlinear Volterra integral equations of the first kind with an integrable singularity
V. I. Gryn'
838–841
Scattering of scalar fields by statistically rough surfaces
S. Z. Dunin, G. A. Maksimov
841–845

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
846–849
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
849–853
On the nature of microwave absorption in high-$\mathrm{T}_{\mathrm{c}}$ superconductors in weak magnetic fields
G. T. Petrovskiĭ, N. V. Starostin
854–856
Elastic moduli of beryllium oxide at $10$$720$ K, from the X-ray data
N. N. Sirota, A. M. Kuzmina, N. S. Orlova
856–862

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
866–867
 
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