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

1987, Number 1


Mathematics
On Peano-valued absolute retracts
N. L. Koval'
3
Duality in homology theory
A. A. Irmatov
5
On a problem of P. S. Aleksandrov
V. I. Zaitsev
9
Fano fourfolds representable in the form of $\mathbf{P}^1$ bundles
I. Yu. Artyushkin
12
On the points of continuity of semicontinuous multivalued mappings
O. N. Kolesnikov
16
The smallest subring of the ring $C_p(C_p(X))$, containing $X\cup\{1\}$ and everywhere dense in $C_p(C_p(X))$
V. V. Tkachuk
20
Singular perturbations of ordinary differential operators with integral boundary conditions
V. V. Borisov
23
Estimates for widths, in the sense of Kolmogorov, of classes of periodic functions of several variables with small-order smoothness
È. M. Galeev
26
On the algebraic independence of values of $E$-functions at algebraic points
A. B. Shidlovskii
30

Mechanics
The expansion of reaction products and formation of secondary waves inside the tube during detonation in gas-film systems
N. N. Smirnov, T. Amanbaev
34
Resistance of two liquid, solid, and gaseous spheres in a homogeneous axisymmetric flow with analysis of their interactions
V. A. Avakyan, L. P. Smirnov
39
The internal ballistics of explosive compressor
V. M. Gendugov, Yu. A. Morgunov
43
Diffraction of an acoustic wave on a cylinder with a shock-absorbing coating
A. V. Stepanov
47

Short notes
Random orthogonal polynomials on the circle
E. M. Nikishin
52
On the spectrum of a multidimensional random Jacobi matrix
I. B. Mikhailovskaya
55
A random one-dimensional Schrödinger operator with increasing potential
A. N. Bobrikov
58
Remarks on a theorem of Kneser
V. V. Filippov
61
Reductions of some systems of differential equations definable by their symmetries
E. V. Ferapontov
63
On the motion of a continuum in a force field with a root singularity
A. A. Roĭtvarf
65
Estimates for the metric dimension of a graph in terms of the diameters and the number of vertices
S. V. Yushmanov
68
On a method for obtaining more than quadratic effective lower bounds for the complexity of $\pi$-schemes
A. E. Andreev
70
The motion of a drop in parallel magnetic field at small Reynolds and large Hartmann's numbers
A. M. Golovin, T. A. Ratnikova
73
Acceleration of a body by piston gas compression
V. F. Maksimov, Yu. G. Filippov
75
The problem of maximum range flight
O. G. Privalova
78
Influence of characteristics of an external explosive action on parameters of a convergent cylindrical shock wave in metal
M. N. Kravchenko
81
Motion of viscous fluid in a circle rotating in the gravity field
L. A. Zhdan
86
Interaction of a two-layer pad with an elastic half-plane
A. M. Van'kova
89
On Lyapunov's index of one-dimensional wave equation with random coefficients
A. Yu. Belyaev
92
The viscosity of a concentrated emulsion containing fluid spheres
O. V. Mukhtarova
95

Scientific research seminar on aeromechanics and gas dynamics (sessions of the 1985/86 academic year)
98


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