July  September, 2013
Volume 15, Issue 3
Weighted Frechet spaces of entire functions from the class of power series spaces of finite type
Abanin A. V., Sergunin P. S., Pham Trong Tien
We study weighted Frechet spaces of entire functions given by weighted
sequences of a general kind. We obtain some sufficient conditions under which they
have VogtWagner topological invariants and thus belong to the class of power
series spaces of finite type.
Article (rus.)  [pdf] [zippdf]
On division problem in nonradial weighted spaces of entire functions
Abanina D. A., Kuzminova A. V.
We study the inductive weighted space
H
u,v
1,∞
,
of entire functions defined by a sequence of nonradial twopart
weights
{
q
n
u(z)+nv(Imz)}
n=1
∞
,
0<
q
n
↑1
.
Under an additional assumption on the function
v
, we establish the division
theorem in
H
u,v
1,∞
. We also obtain some
results about sweepping out the masses of the subharmonic function
v(Imz
)
.
Article (rus.)  [pdf] [zippdf]
A priori estimates of the solutions of nonlocal boundary value problems for a pseudoparabolic equation
Beshtokov M. H.
In this paper we consider nonlocal boundary value problems for a third
order pseudoparabolic equation with variable coefficients in the onedimensional
and multidimensional cases. For nonlocal problems a priori estimates in differential
and difference treatment are obtained. These estimates imply uniqueness, stability and
convergence of the solution of the difference problem to the solution of the differential problem.
Article (rus.)  [pdf] [zippdf]
A linear continuous right inverse to the representation operator in
(LB)
spaces
Varziev V. A.
We study the question of the existence of a linear continuous right inverse
to the representation operators in
(LB)
spaces. It is obtained suficient
conditions for the existence of such operators in the case
of representations in deltafunctions in spaces which are dual to weighted
Frechet spaces of entire functions. We state some conditions under which
the results can be used for representations in systems of generalized
exponential functions. Our study is based on the method developed by
S. N. Melikhov for the dual situation and previous works of A. V. Abanin and the author
on suffiient sets in weighted Frechet spaces of entire functions and existence of
a linear continuous left inverse for the corresponding restriction operator.
Article (rus.)  [pdf] [zippdf]
Analysis of stressstrain state of the naturally twisted rod bending
by transverse force on the basis of the finite element method
Ustinov Yu. À., Kurbatova N. V., Chumakova Å. S.
Numeric solution based on homogeneous solutions method and numeric integration
by finite element method of twodimension boundary problems, which are described
SaintVenant's solutions on pure bending and bending by transverse force
of the naturally twisted rod with rectangular crosssection was constructed.
The analysis of stressstrain state of the rod was realized for different
values of parameter
τ
0
.
Article (rus.)  [pdf] [zippdf]
Algebraic band preserving operators
Kusraeva Z. A.
It is shown that for a universally complete vector lattice
E
the following are equivalent: (1) the Boolean algebra of band projections
P(E)
is
σ
distributive; (2) every algebraic band preserving operator in
E
is strongly diagonal;
(3) every band preserving projection in
E
is a band projection.
Article (rus.)  [pdf] [zippdf]
The search for universal parameters for the models of morphogenesis
Nazarov M. N.
The parameters of models of morphogenesis can be considered universal in case
they have biological meaning and their values can be freely exchanged between models
of different classes. In the scope of this work exchange of chemical intercellular
signals was chosen as the main mechanism controlling the activity of cells.
For this case a set of universal parameters was obtained and it two models
of morphogenesis, the discrete imitational and the average quantitative one,
were built on this base.
Article (rus.)  [pdf] [zippdf]
Geodesic orbit Riemannian metrics on spheres
Nikonorov Yu. G.
In this paper, a complete classification of geodesic orbit
Riemannian metrics on spheres
S
n
. is obtained. We also construct
some explicit examples of geodesic vectors for
Sp(n+1
)U(1)
invariant metrics on
S
(4n+3)
.
Article (eng.)  [pdf] [zippdf]
Generalized functional calculus on vector lattices
Tasoev B. B.
Generalized functional calculus on vector lattices is constructed.
An interplay between Minkowski duality and generalized functional calculus
is investigated and some convexity inequalities are proved.
Article (rus.)  [pdf] [zippdf]
Abraham Robinson (19181974)
Kutateladze S. S.
This is a short biographical sketch and tribute to Abraham Robinson
on the 95th anniversary of his birth.
Article (eng.)  [pdf] [zippdf]
Sergei Sobolev, a genius of natural sciences
Kutateladze S. S.
This is a short tribute to Sergeui Sobolev on the occasion of the 105 years of his birth.
Article (eng.)  [pdf] [zippdf]
Dzhemal Gurievich Sanikidze
(on his 80's anniversary)
Article (rus.)  [pdf] [zippdf]
