April  June, 2010
Volume 12, Issue 3
Division theorem in some weighted spaces of entire functionsy
Abanin A. V., Abanina D. A.
We consider weighted spaces of entire functions which are dual to the Beurling spaces
of ultradifferentiable functions of mean type. We prove a division theorem,
which completely characterizes all divisors of these spaces. With the help of this theorem,
we obtain a criterion for the solvability of convolution equations in the Beurling classes of mean type.
Article (rus.)  [pdf] [zippdf]
Estimates for some potentialtype operators with oscillating
symbols
Gil A. V., Nogin V. A.
In the framework of Hardy spaces
H
p
, we study multidimensional
potentialtype operators whose kernels have singularities on the
unit sphere. Necessary and sufficient conditions are obtained for
such operators to be bounded from
H
p
to
H
q
, from
BMO
to
L
∞
, from
L
1
to
H
1
or from
BMO
to
BMO
.
Article (rus.)  [pdf] [zippdf]
On automorphisms of strongly regular graph with parameters (396,135,30,54)
Isakova M. M., Makhnev A. A.
We found the possible orders and the structures of subgraphs of
the fixed points of automorphisms of strongly regular graph with parameters (396,135,30,54).
These results can be used to study automorphisms of strongly regular graph with parameters (640,243,66,108)
(in such a graph the second neighborhood of vertices are strongly regular with parameters (396,135,30,54)).
Article (rus.)  [pdf] [zippdf]
Mathematical modeling of atmospheric processes at north ossetia
Carmadon's valley
Kamenetsky E. S., Radionoff A. A.
Diurnal behaviors of Carmadon's valley aerodynamics with different
directions of geostrophic wind are investigated by means of twodimentional mathematical model.
The development of vortex field in valley found to be depending on this direction.
Article (rus.)  [pdf] [zippdf]
Some topics of the theory of linear topological spaces
(completeness, nontrivial expansions of zero and their generators)
Korobeinik Yu. F.
The connection between the existence of nontrivial expansions
of zero with respect to some system of elements in a separated linear topological
space and the completeness of such systems is investigated.
The notion of a generator of nontrivial expansions of zero with respect
to the system
X
is introduced and some sufficient conditions under which
the element
x
generates nontrivial expansions of zero with respect to certain systems of
elements are found.
Article (rus.)  [pdf] [zippdf]
On correlation of two solution classes of Navier  Stokes equation
Levenshtam V. B.
We consider an initial boundary value problem
for Navier  Stokes equation with mass power
polinomial depend on unknown (velocity). We introduce for it the
definitions of solution and generalized solution and we derive
the conditions, under with a generalized solution is a solution.
Article (rus.)  [pdf] [zippdf]
Weak insertion of a continuous function between two
comparable functions
Mirmiran M.
We give a sufficient condition for insertion of a continuous function between two comparable
realvalued functions in terms of lower cut sets.
Article (ang.)  [pdf] [zippdf]
Estimates of the perturbed Ozeen semigroup in
R
n
and stability of the Navier  Stokes flow
Sazonov L. I.
We present powerlike estimates for the
perturbed Oseen semigroup in
R
n
. They are used for an estimation of solutions in the nonlinear perturbed Oseen
system.
Article (rus.)  [pdf] [zippdf]
Korobeinik Yurii Fedorovich (on his 80's anniversary)
Article (rus.)  [pdf] [zippdf]
VIII International Science Conference
"Order Analysis and Related Problems of Mathematical Modeling"
Article (rus.)  [pdf] [zippdf]
