Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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1997, Number 5  


Mathematics
Fourier coefficients of piecewise-monotone functions of the class $\operatorname{Lip}(\alpha,p)$
M. P. Mulgachev
3–7
On the numerical solution of the Cauchy problem for a system of differential-algebraic equations by means of implicit Runge–Kutta methods with a variable integration step
G. Yu. Kulikov
7–11
On the inductive dimension of subsets of some nonmetrizable manifolds
A. V. Karasev
11–14
On the linear independence of the values of functions satisfying Mahler's functional equation
A. I. Galochkin
14–17
On the class of Boolean functions uniformly distributed over balls with degree $1$
Yu. V. Tarannikov
17–21
On the rational approximation of the exponential in the uniform metric
V. V. Vorotnikov
21–24
On conjugate functions of several variables
V. A. Okulov
24–26
Orthosimilar nonnegative expansion systems
T. P. Lukashenko
27–31
A countably compact $\nabla$-normal space has a countable character
D. V. Malykhin
31–33

Mechanics
Optimal braking of a vehicle
D. S. Merzlov
34–37
Electrification of plane channel walls by an aerosol flow containing rigid charged particles
V. N. Pribylov
37–41
Numerical modeling of deformation and destruction of a thin-walled spherical shell (made of laminated viscoelastic composite and filled with fluid) under action of explosion at the center of the shell
A. B. Kiselev
41–48
On diffusion in Hamiltonian systems
V. V. Kozlov, N. G. Moshchevitin
49–52

Short notes
On transfinite dimensions of partial topological products
R. N. Vinogradov
53–54
On the cohomology of double complexes
A. G. Gorinov
54–56
Geometric symmetries of $SU(2)$-invariant Yang–Mills theory with a nonstandard Lagrangian
S. G. Zolotuhina
56–59
On moduli of continuity of functions in Waterman classes
Yu. E. Kuprikov
59–62
Some algorithms for constructing large prime numbers
O. N. Vasilenko
62–64
Self-correcting schemes for functions of polynomial weight
A. V. Chashkin
64–66
On probability of fall of a disk sliding on a horizontal plane
A. A. Afonin
66–68
Hyposcopic stabilization of the rotation of a spacecraft with two antennas
D. Vinch, A. N. Davyskib, V. A. Samsonov
69–71
 
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