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1990, Number 5  


Mathematics
Complete geometric interpretation of a single-soliton solution of arbitrary amplitude of the sine-Gordon equation
A. G. Popov
3
Approximate determination of zeros of analytic functions
S. M. Koshel, S. S. Chekryzhov
8
On the Hardy transformation of Fourier coefficients of a multidimensional function
D. V.  ldiashvili
12
Bases of irreducible representations of classical Lie algebras
S. V. Lyudkovskii
18
Estimates for conjugate linear forms
A. I. Galochkin
25
On the convexity of the domain of convergence of a series of generalized exponentials
T. A. Leont'eva
28
Polynomial approximation in an integral metric with Jacobi weight
M. Beriša, F. Berisha, M. K. Potapov
33
Sine and cosine series with multiply monotone coefficients
T. M. Vukolova
38
Parabolicity of embeddable and hyperbolicity of nonembeddable two-dimensional manifolds of negative curvature
E. V. Shikin
42
On the Lindelöf number of topological function spaces and on embeddings in $C_p(X)$
A. V. Arkhangel'skii
46
Characterization of a multiplicative orthogonal decomposition of the Lie algebra $D_4$
Pham Huu Tiep
49

Mechanics
Numerical chop-off investigation in plate under explosion of planted explosive charge
V. M. Gendugov, A. B. Kiselev
54
Fading of cylindrical gravitational-electromagnetic waves with arbitrary polarization
A. D. Garcia, M. N. Zaripov, N. R. Sibgatullin
59

Short notes
Contractability of a superextension
E. V. Moiseev
64
On the projectivity of some modules over polynormed algebras of continuous functions
E. Sh. Kurmakaeva, S. A. Shkarin
66
Lyapunov exponent for the general Sturm–Liouville operator with random coefficients. I. Small disorder
D. V. Sokolov
68
Positive-definite functions of a special type
A. Yu. Chanysheva
71
An estimate for the degree of irreducible eigenpolynomials of a differential operator of a certain type
A. V. Astrelin
75
The rational homotopy type of Hermitian $K$-theory
V. A. Kolosov, Yu. P. Solov'ev
77
Some examples of the nonuniqueness of the solution of the Cauchy problem for quasilinear hyperbolic systems
S. N. Kruzhkov
80
Regular words and the sandwich-algebra theorem
A. D. Chanyshev
84
Integrable systems with elastic reflections
A. M. Abdrahmanov
85
Approximation formula for calculation of porous bodies shock adiabats
A. È. Rakhimov
89
Superposition of nonlinear oscillations with evolution near the equilibrium manifold of reversible systems
Ya. V. Tatarinov
93
On a method of calculation of car hanger control effectiveness parameters
G. K. Golubev, V. V. Prelov
95
On rigidity of stationary gyroscopic frame motion
T. A. Yakovleva
98

Scientific research seminar of Composites Theory Chair
102
 
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