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

1987, Number 6


Mathematics
An example of a quasiconvex but not polyconvex function
O. A. Kruzhalov
3
Universal metrizable spaces of given weight and given depth
I. P. Zakharov
6
On the problem of the existence of a solution to a mixed problem for the one-dimensional wave equation
V. A. Chernyatin
9
New trace formulas for operators with a discrete spectrum
V. A. Lyubishkin, I. D. Tsopanov
22
A lower bound for the approximation of $\ln2$ by rational numbers
E. A. Rukhadze
25
The Nash–Moser implicit function theorem for nonmetrizable locally convex spaces
Yu. I. Prostov
29
Usual convergence of asymptotic series in the presence of zero points of the spectrum
I. S. Lomov
33

Mechanics
Dynamics of a conducting ellipsoid in axisymmetric magnetic field
S. V. D'yachkov, Yu. G. Martynenko
41
Permanent rotations of a string-suspended axisymmetric solid
O. Yu. Agareva
45
On a stabilized motion of a symmetrical rotating body in the air
M. V. Abuladze
51

Short notes
Generalization of the Chevalley and von Neumann problems
V. V. Ryzhikov, V. I. Dmitriev
56
Extension of a selection for a multivalued mapping, and the Eilenberg–Borsuk duality theorem
V. A. Nikiforov
57
A class of Sturm–Liouville operators on the semi-axis with a given spectrum
Yu. A. Skoblin
59
Algebraic generators of the group of automorphisms of a polynomial ring over a finitely generated algebra
S. A. Kuleshov
62
Dihedral homology of a tensor algebra and of skew polynomial rings
S. V. Lapin
65
Convergence almost everywhere of Riemann sums
M. Yu. Fominykh
67
A problem without initial conditions for strongly degenerate hyperbolic equations with increasing coefficients
A. V. Deryabina
71
Approximation of $\pi/\sqrt3$ by rational fractions
A. K. Dubickas
73
Simple and free periodic groups
V. S. Atabekyan
76
Equilibrium of a plate and a tube made of a stratified composite material with viscoelastic components
B. E. Pobedrya, S. E. Omarov
78
Spatial diffraction problem on a rigid and opaque wedge in a Biot medium
Sh. M. Takhirov
82
Investigation by the polarization optical method of the stress state of a bolt under axial tension
V. V. Dunaev, V. D. Kopytov, N. S. Nazarova, M. V. Spiridonova, N. A. Chetverous
84

In memory of Evgenij Mikhajlovich Nikishin
A. I. Aptekarev, V. V. Kozlov, A. M. Olevskii, M. K. Potapov, P. L. Ul'yanov, A. B. Shidlovskii
88


© Steklov Math. Inst. of RAS, 2025