October  December, 2013
Volume 15, Issue 4
Nonlinear integral equations with potential type kernels on a semiaxis
Askhabov S. N.
In complex Lebesgue spaces, by method of monotone operators, theorems
on existence, uniqueness and methods of finding solutions are proved
for some classes of nonlinear integral equations with potential
type kernels. Some estimations for the norms of solution and the
rate of convergence of the Picard type successive approximations are obtained.
Article (rus.)  [pdf] [zippdf]
Positive lifting in a measurable bundle of Banach lattices
Gutman A. E.
We show that every positive lifting in a measurable bundle
of Banach lattices is a lattice homomorphism.
Article (rus.)  [pdf] [zippdf]
Continuousdiscrete sections of bundles of Banach lattices
Gutman A. E., Koptev A. V.
The notion of a continuous bundle of Banach lattices is clarified
and the order properties are studied of~the space of
C
D
0
sections
of such a bundle.
Article (rus.)  [pdf] [zippdf]
On the sing of the Green's function of the boundary value problem
for the fourthorder equation on a graph
Kulaev R. Ch.
In this paper we consider a boundary value problem for a fourthorder equation
on a graph modeling the elastic deformation of the flat system of beams with
the rigid connection conditions at the nodes. Some properties of the
Green's function are investigated and a sufficient condition for its positivity
is established. Article (rus.)  [pdf] [zippdf]
On an inverse boundary value problem for the second order elliptic equation
with additional integral condition
Meqraliyev Y. T.
An inverse boundary value problem for the second order elliptic equation with
an additional first kind integral condition is investigated. First the initial
problem is reduced to the equivalent problem, for which the existence
and uniqueness theorem is proved. Then using these facts the existence and uniqueness
of the classical solution of initial problem is proved.
Article (rus.)  [pdf] [zippdf]
Extremal values of the volume of 3dimensional parallelepipeds with a given intrinsic diameter
Rasskazova N. V.
It is proved that a parallelepiped with relation
a:b:c=1:
1:
2
for its edge lengths has maximal volume among all
rectangular parallelepipeds with a given intrinsic diameter.
Article (rus.)  [pdf] [zippdf]
Constructive descriptions of
n
sequentially connected graphs
Shangin R. E.
The class of nonoriented
n
sequentially connected graphs
is introduced and some applications are considered. The main characteristics
and properties of
n
sequentially connected chains are given. The relations
of the class of
n
sequentially connected chains to perfect, triangulated,
composite and splittable classes of graphs are determined.
Article (rus.)  [pdf] [zippdf]
The locallyonedimensional scheme for the equation of heat conductivity
with the concentrated thermal capacity
Shkhanukov M. Kh., Lafisheva M. M., Nakhusheva F. M., Mambetova A. B.
The work is devoted to locallyonedimensional schemes for the equation of heat
conductivity with a nonstationary boundary condition which imitate a concentrated thermal
capacity placed on domain boundary. A priori estimate in the uniform metrics is obtained
and the convergence of the constructed scheme on a cubic net is proved.
Article (rus.)  [pdf] [zippdf]
Solvability of the Cauchy problem for the aller equation in space of bounded continuous functions
Umarov Kh. G.
Solvability of the Cauchy problem for Aller differential equation is reduced
to the abstract Cauchy problem in Banach space of bounded continuous functions on the real axis.
Article (rus.)  [pdf] [zippdf]
Characterization of finite groups with independent abelian subgroups
Tsirkhov A. A.
A complete description of finite groups in which all abelian subgroups are independent is given.
Article (rus.)  [pdf] [zippdf]
About Silchenko operators semigroup
Chshiev A. G.
We consider a class of operator semigroups with integrable
singularity at the origin and nondense image. Our approach is based
on using the linear relations as the generators of semigroup. The
existence of a~base generator is proved and a representation of the
resolvent of the base generator is also obtained.
Article (rus.)  [pdf] [zippdf]
Vatulyan Alexander Ovanesovich
(on his 60's anniversary)
Article (rus.)  [pdf] [zippdf]
