July  September, 2009
Volume 11, Issue 3
The 80th Birthday of Yuri Reshetnyak
September 26 is the 80th birthday of
Academician Yuri Reshetnyak, an outstanding Russian
mathematician.
Article (rus.)  [pdf] [zippdf]
Weakly
ℵ
1
separable quasicomplete abelian
pgroups are bounded
Danchev P. V. MSC (2000): 20K10.
We prove that each weakly
ℵ
1
separable quasicomplete abelian pgroup
is bounded, so supplementing our recent results
in (Vladikavkaz Math. J., 2007 and 2008).
Article (eng.)  [pdf] [zippdf]
Interaction of a chain of moving charges with an ideal conductor
Kesaev V. I., Maliev I. N.
We give a new solution of Maxwell's equations, describing
the total electrical field that is created by point charges
e
0
moving synchonously one after another with time interval
τ
and velocity
constant
V
→
at a constant distance
z
0
from the flat surface
of a massive ideal massive conductor. The eeffect is revealed of
amplification of interaction between any charge of the chain and
the metal at the small square values of
σ
, the ratio of the space
interval
V⋅τ
to the doubled product of the Lorentzfactor
γ
and the distance
z
0
.
Article (rus.)  [pdf] [zippdf]
On the properties of complemented basic sequences
Kondakov V. P.
The paper contains some remarks on the properties of special basic sequences
of the elements which span complemented subspaces in the Fr
é
chet spaces of the class that can be considered as a generalization of the
wellknown class of K
ö
the sequnce spaces. We discuss the question
of characterization of these sequences of elements in
blockK
ö
the spaces and survey the available results in this
area. Some open problems are posed, and the connection of the topic under study
is addressed with the problem of the isomorphic classification of
K
ö
the spaces.
Article (rus.)  [pdf] [zippdf]
On the stability criteria in A. M. Lyapunov's article
"Analysis of one of the partucular cases of the problem of stability of
motion" Kurakin L. G.
We consider the problem of stability of an equilibrium of an autonomous
system of differential equations in the critical case of a double zero
root (Jordan cell). Using his first method A. M. Lyapunov [1]
found a criterion of stability for any nonlinear degeneration of
the system. He addressed most of the subcases of the problem,
using his direct method as well. The Lyapunov functions for all remaining
subcases were not constructed yet. In this paper we found these functions
in a few cases. This enables us to to propose a new algorithm of determination of equilibrium
stability for some degenerations of system. This algorithm is specified by
some algebraic operations over the Taylor series coefficients of the system
whereas the algorithm by A. M. Lyapunov demands the calculation of quadratures.
Article (rus.)  [pdf] [zippdf]
Homogeneous functions of regular linear and bilinear operators
Kusraev A. G. MSC (2000): 46A40, 47A50, 47A60, 47A63, 47B65.
Using envelope representations explicit formulae for computing
ϕ
^
(
T
1
,…,
T
N
)
for any finite sequence of regular linear or bilinear
operators
T
1
,…,
T
N
on vector lattices are derived.
Article (eng.)  [pdf] [zippdf]
Boolean models and simultaneous inequalities
Kutateladze S. S. MSC (2000): 03H10, 47B60, 90C48.
Boolean valued analysis is applied to deriving operator
versions of the classical Farkas Lemma in the theory of simultaneous
linear inequalities.
Article (eng.)  [pdf] [zippdf]
Estimates for the perturbed Oseen semigroup
Sazonov L. I.
We present a sufficient condition for the perturbed Oseen semigroup which
yields the same powerlike decay rate as for the unperturbed one.
We prove that this phenomenon takes place provided the
perturbed Oseen operator has no eigenvalues inside the closed
right halfplane. In particular, this result is valid for
the perturbations that are small in some sense. The proof is based on
the results on invertibility of elements of some Banach algebra of
operatorvalued functions, which results rests on the
AllanDouglas principle.
Article (rus.)  [pdf] [zippdf]


conference: 
2009 №1, №2, №3;
2008 №1, №2, №3, №4;
2007 №1, №2, №3, №4;
2006 №1, №2, №3, №4;
2005 №1, №2, №3, №4;
2004 №1, №2, №3, №4;
2003 №1, №2, №3, №4;
2002 №1, №2, №3, №4;
2001 №1, №2, №3, №4;
2000 №1, №2, №3, №4;
1999 №1, №2, №3, №4;

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