JanuaryMarche, 2009
Volume 11, Issue 1
About variational method at research of the inverse coefficient
problems in the theory of elasticity
Vatulyan A. O. UDC 539.3
In this paper variational statement at research of the coefficient
inverse problems for elastic bodies at a simultaneous variation of
fields of displacement, modules of elasticity and density is
discussed.
Article (rus.)  [pdf] [zippdf]
Structure exact interpolation space in the interpolation of weighted Lebesgue spaces
Efimov A. I. UDC 517.982
For Lebesgue spaces A, B, C, D, E with additional conditions,
found Lebesgue space F(E) such that the following statements are equivalent:
1) The pair E, F is said to have the interpolation property
relative to A, B and C, D. 2) Space F(E) is a subspace of Banach
space F.
Article (rus.)  [pdf] [zippdf]
On the Hewitt completeness of the spase of orderpreserving
σ
smooth functionals.
Jiemuratov R. E., Zaitov A. A. UDC 515.12
In the present paper we establish that the spase of
σ
smooth
orderpreserving, weak additive functionals is Hewitt completness.
Article (rus.)  [pdf] [zippdf]
On edgeregular graphs with
b
1
=5
Kazarina V. I., Makhnev A. A. UDC 519.14
Nonoriented vvertex graph, in which degree of each vertex is
equal k and each edge lies in
λ
triangles is called
edgeregular graph with parameters
(v,k,λ)
. Set
b
1
=k−λ−1
. At the book "DistanceRegular Graphs" it is
proved that connected graph with
b
1
=1
is polygon or
complete multipartite graph
K
n×2
.
Makhnev A. A. obtained the description of edgeregular
graphs with
b
1
≤3
and
b
1
=4
,
k≥10
.
In this paper it is classified connected edgeregular graphs
with
b
1
=5
and either graph is strongly regular or
k≥14
.
Article (rus.)  [pdf] [zippdf]
On Arepresenting systems. I
Korobeinik Yu. F. UDC 517.9
The paper describes some properties of Arepresenting systems
which were introduced by author in 1975 year in one of his papers
and have been investigated nowhere up to now.
Article (rus.)  [pdf] [zippdf]
Exact solutions for thermoelasticity problems
Rodionov A. Yu. UDC 517.958
We apply holomorphic expansions to the coupled linear system of thermoelasticity.
Explicit solutions in form of functional series with the terms dependent on three complex
variables are obtained. We also study the case of degeneration of the
mentioned series resulted in elementary solutions.
Article (rus.)  [pdf] [zippdf]
