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

1989, Number 4


Mathematics
On the fundamental solution of a parabolic equation of Schrödinger type with a small parameter. I
J. Sidorowicz
3
Irreducibility of a class of hypergeometric equations
V. Kh. Salikhov
7
$d$-properties of topological spaces
E. V. Gavrushenko
10
On the modulus of continuity of a conjugate function on subsets
T. P. Lukashenko
13
Basic properties of the system of eigenfunctions of a boundary value problem with a multiple root of the characteristic polynomial
E. P. Bogomolova, A. S. Pechentsov
17
Automorphisms of the Fermat curve
Nguyen Khac Viet
23
Cauchy–Poisson problem in the theory of floating liquid
S. A. Gabov
26
Homogeneity and $\pi$-networks
D. B. Motorov
31

Mechanics
On the theorem of Henri Poincaré
R. P. Kuzmina
35
Two integrable nonholonomic systems in classical dynamics
Yu. N. Fedorov
38
Three-dimensional supersonic real gas flow about axisymmetric bodies
V. R. Dushin, I. V. Minin, O. V. Minin, A. I. Seleznev, N. N. Smirnov, V. G. Fedotov, V. L. Frumin
41
Symmetric canonical equations with a Hamiltonian that depends explicitly on time
I. S. Emel'yanova
50
Stability of the equilibrium of a mechanical system with unilateral constraints
G. M. Vinner
54
Notes on the instability of equilibrium in nonholonomic systems
R. M. Bulatovic
57

Short notes
Extension of field valuations onto algebraic skew fields
I. D. Chipchakov
61
Countably compact and pseudocompact $k$-rarefied spaces
B. M. Bokalo
63
Algebraic and linear independence of values of certain classes of entire functions
N. I. Lossov
65
Convergence of approximate solutions of the Cauchy problem for first-order quasilinear equations
A. I. Kazmerchuk
68
Small lattices in Lie algebras $A_{p-1}$
Pham Huu Tiep
70
Lie ideals and derivations of semiprime rings
O. D. Avraamova
73
Conditions for the solvability in the large of the first boundary value problem for some semilinear parabolic equations
E. R. Kosygina
74
Distribution of the eigenvalues of a problem on a transversally isotropic semicylinder
Z. E. Tsikhistavi
77
Intersection of topologies and metrizability in topological groups
S. A. Svetlichnyĭ
79
Symmetric homologies and cohomologies
V. A. Kolosov
81
On tightenings of a product of finally compact spaces
A. N. Yakivchik
84
Redundancy with recoveries and unreliable switches
Mîhamed El-Saoudy Fakhry, A. D. Solov'ev
86
Order management for two partners
M. V. Denisov
88
On $F_\sigma$-countably paracompact spaces
A. P. Kombarov
91
On the Katetov cube theorem
V. V. Fedorchuk
93
On a new theory of generalized functions
Yu. V. Egorov
96
Representation of processes of asynchronous loading in stress space
È. B. Zavoychinskaya
99


© Steklov Math. Inst. of RAS, 2026