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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

1990, Number 6


Mathematics
Approximations of the values of some infinite products
A. Yu. Popov
3
Existence of a classical solution of a mixed problem for a second-order one-dimensional parabolic equation
V. A. Chernyatin
6
The Hurewicz theorem for fundamental dimension
Yu. V. Lubenets
11
Estimates for the measure of mutual transcendence for some numbers
N. V. Shestakova
14

Mechanics
Force action on a wedge under diffraction of a shock wave generated by powerful expansion
A. G. Chernov
19
Calculating the interphasic force in a monodisperse bubble medium with inhomogeneous bubble distribution
V. E. Kroshilin
23
Integrable billiards
A. M. Abdrahmanov
28
Bending of a thin flexible plate
B. E. Pobedrya
33
Conditions for the mathematical well-posedness of a variant of differential-nonlinear relations of plasticity and methods for solving boundary value problems
V. A. Peleshko
37
On the development of air particle helical motion in Gromeka's sense under the action of the Coriolis inertial forse
N. Slioskin
43

Short notes
The behavior, as $t\to+\infty$ of solutions of some nonautonomous equations
S. M. Borodich
51
On local solvability and hypoellipticity of a class of P.D.O. with double characteristics
A. S. Popeluhin
54
Normality and collective normality of function spaces
E. A. Reznichenko
56
Decomposition of uniform spaces into inverse spectra
A. A. Borubaev
59
$p$-adic estimates for linear forms and polynomials for power series of a certain class
E. A. Rīsanīva
61
Time-optimality problems for distant targets
I. O. Vashkov
63
A standard Lie polynomial of degree $8$ on the Lie algebra $W_2$
A. A. Kagarmanov
66
Some properties of the weak topology of Banach spaces
D. P. Baturov
68
The dimension of not totally normal spaces
S. V. Kotkin
70
Solution of the Cauchy problem for several differential equations that contain the Laplace operator in a superspace
E. V. Maslova
72
An estimate for the first eigenvalue of the Sturm–Liouville operator
Yu. V. Egorov, V. A. Kondrat'ev
75
Adaptive control of biomass growth
V. V. Aleksandrov, A. Torres
78
The generalized maximum principle for semilinear parabolic systems
V. V. Churbanov
81
On the diagonal number of topological spaces
A. N. Yakivchik
84

Scientific research seminar of Composites Mechanics Section (Sessions of the fall semester in 1989/90 year)
87
Mikhail Konstantinovich Potapov (on the occasion of his 60th birthday)
S. M. Nikol'skii, P. L. Ul'yanov
89


© Steklov Math. Inst. of RAS, 2026