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

1989, Number 3


Mathematics
On reducibility and linear reducibility of linear differential equations
V. Kh. Salikhov
3
The one-dimensional Plateau problem on surfaces
I. V. Shklyanko
8
On Vitali's covering theorem
Yu. A. Shevchenko
11
Deformation of a manifold that decreases volume at maximum rate
A. O. Ivanov, A. A. Tuzhilin
14
A criterion for isomorphism of the finite-power functor and the power functor
A. G. Savchenko
18
On the centralizer of a Coxeter element
A. P. Blokhina
21
The first focal value for a complex monodromy singular point: the general nondegenerate case
N. B. Medvedeva
25
The Frobenius theorem for a class of locally convex spaces
N. S. Polyakova
30
On $UV^n$-equivalent compacta
A. Ch. Chigogidze
33
Separable images of ordered compacta
A. A. Odintsov
35

Mechanics
On soluble bubble behaviour in shock waves
Fawze Shaban El Duwik
39
Long wave longitudinal strain propagation in a pipe of a transversely isotropic material
I. V. Panferov
42
Asymptotic stability of periodic solutions of equations in nonholonomic mechanics
D. V. Zenkov
46
On the problem of the motion of a body in a resisting medium
V. A. Samsonov, M. V. Shamolin
51

Short notes
Shape equivalence of compacta in smooth manifolds
M. G. Dzhermakyan
55
Functors of iterated superextension
B. V. Atamanyuk
58
Nowhere dense subsets of $N^*$ and types of ultrafilters
S. A. Logunov, V. I. Malykhin
59
Existence and uniqueness of an analytic solution for a linear partial differential equation with a linearly transformed argument
T. V. Chernosvitova
61
On the family of solutions of the Maurer–Cartan equations for the special affine group
A. G. Kovalev
64
On hereditarily Lindelöf spaces of continuous functions
A. V. Arkhangel'skii
67
On the dimension of spaces of locally trivial fiber bundles
K. L. Kozlov
69
Quillenization of classifying spaces of infinite symmetric powers of discrete groups
N. N. Savel'ev
72
Eigenvalues of quadratic operator pencils that are connected with problems of stability
Buĭ Ta Long
74
Pseudo-boundaries of the spaces $\lambda X$, $NX$, $GX$, $GrX$
E. V. Moiseev
77
On a problem of numerical differentiation
Yu. V. Egorov, V. A. Kondratiev
80
Two-cable system equilibrium in a liquid flow
G. S. Lizîgub
82
On regular precessions of a rigid body suspended on a string
O. Yu. Agareva
85
Wave reflection from solid wall in vapour bubbly mixture
R. R. Sagitov, S. G. Kudratov
88
Three-dimensional separated flows in front of two obstacles on surface in supersonic flow
A. I. Zubkov, B. E. Lyagushin, Yu. A. Panov, V. Yu. Tikhonov
91
A simplified theory of circular plane piezoceramics filter with sectional electrodes
V. Yu. Perfil'eva
95
A version of deformationally anisotropic plasticity theory
O. D. Kraeva
97

In memory of H. A. Rahmatulin
100


© Steklov Math. Inst. of RAS, 2026