Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, Number 1

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

1989, Number 1

Mathematics
	Automorphisms of a system of MAX-matrices O. D. Ermolaeva	3
	An estimate in linear regression models A. G. Gadzhiev	8
	A blow-up tree for vector fields with a fixed Newton diagram N. B. Medvedeva	13
	Existence of analytic solutions of linear differential equations for measures on a Hilbert space A. M. Zemlyansky	17
	An asymptotic formula for an arithmetic sum Nguen Khak Tkhan'	21
	Tangential properties of topological spaces A. V. Arkhangel'skii, B. M. Bokalo	26
	An additive problem with power-free numbers V. N. Chubarikov	29
	Equivariant projection spectra of a paracompact $G$-space M. O. Okroyan	37
	Mappings that are co-absolute to a projection that is parallel to the Cantor perfect set I. Bandlov	40
	Approximation of the values of some functions N. I. Derevyanko	45

Mechanics
	Theory of two-dimensional stable elastic-plastic waves A. L. Pavlenko, A. O. Kybyraev	50
	Penetrating an obstacle by a normal impact of a deformable truncated cone A. Ya. Sagomonyan, Ya. P. Dvorkin	54
	Optimality of linear algorithms in the “worst correlation” problem A. I. Matasov	61
	Permanent rotation of a heavy rigid body in a magnetic field N. M. Marsheva	64
	A mathematical model of the semicircular canal of the vestibular system as an angular acceleration sensor T. G. Astakhova	69
	Intercardinal deviation of a ground gyro compass V. I. Borzov, G. F. Bublik, V. V. Tyabina	72
	A flow around a sphere filled with ideal liquid in a helical motion N. A. Slezkin	79

Short notes
	On the uniqueness of a solution of problems of optimal control O. Yu. Imanuvilov	85
	Characterization of dimension $\operatorname{ind}\omega X$ for a space $X$ S. V. Vlasov	88
	A model of sparse scatterers for the Schrödinger operator on a free group A. G. Golitsyna	90
	Solutions of second-order elliptic equations in nondivergence form that are defined in an unbounded domain A. V. Neklyudov	93
	Radicals of semigroup rings of complete $0$-simple semigroups A. G. Sokolskii	95
	Properties of polynomials V. V. Zabelin	98
	Lattices of root type in the Lie algebras $D_{2^m}$ and $B_{2^m-1}$ Pham Huu Tiep	100
	Asymptotics of the integrated density of states and the Lyapunov exponent with a large coupling constant D. V. Sokolov	103
	Pure birth processes in a random environment E. B. Yarovaya	105