July  September, 2011
Volume 13, Issue 3
On half conformally flat 4dimensional Lie groups
Gladunova O. P., Rodionov E. D., Slavskii V. V.
Classification of half conformally flat Lie algebras of real fourdimensional
Lie groups with leftinvariant Riemannian metrics is given.
Article (rus.)  [pdf] [zippdf]
Cyclic subgroups of second degree full linear group over a field of the zero characteristic
Zhemuhova M. Z., Pachev U. M.
A description of cyclic subgroups in a full linear group
G
L
2
(F)
over
any zero characteristic field
F
is given.
Article (rus.)  [pdf] [zippdf]
The asimptotics of a periodical solution of differential equation with great highfrequency terms
Ishmeev M. R.
The full asimptotics of a periodical solution for the systems of nonlinear
differential equations, containing terms proportional to a degrees of frequency
is constructed.
Article (rus.)  [pdf] [zippdf]
Closed pairs
Koibaev V. A.
This is a study of closed pairs of abelian groups (closed elementary nets of
degree 2). If the elementary group
E(σ)
does not contain new elementary
transvections, then an elementary net
σ
(the net without the diagonal)
is called closed. Closed pairs we construct from the subgroup of a polynomial ring.
Let
R
1
[x]
 the ring of polynomials (of variable
x
with coefficients
in a domain
R
) with zero constant term. We prove the following result.
Theorem. Let A, B  additive subgroups of
R
1
[x]
.
Then the pair
(A,B)
is closed. In other words, if
t
12
(β)
or
t
21
(α)
is contained in subgroup
〈
t
21
(A),
t
12
(B)
〉
, then
β∈B
,
α∈A
.
Article (rus.)  [pdf] [zippdf]
On existence of the solution of parabolic problem on the
graph with a boundary conditions, containing derivatives on time
Kulaev R. Ch.
The mixed problem for the parabolic equation set on geometrical graph,
with boundary conditions containing a derivative on time is considered.
The theorem of existence of the solution of the boundary problem giving representation
of the solution in the form of circuit integral is established.
Article (rus.)  [pdf] [zippdf]
On representations of yangian of Lie superalgebra
sl(1,2)
Stukopin V. A.
The finitedimensional irreducible representations of Yangian of
Lie Superalgebra
sl(1,2)
. The necessary and sufficiently conditions
of irreducibility of finitedimensional representations are formulated and proved.
Article (rus.)  [pdf] [zippdf]
Maharam extension of a positive orthosymmetric bilinear operator
Tasoev B. B.
Maharam extension of a positive orthosymmetric bilinear operator in vector
lattices is constructed.
Article (rus.)  [pdf] [zippdf]
Valentin Vasil'evich Napalkov (on his 70's anniversary)
Article (rus.)  [pdf] [zippdf]


conference: 
2011 ¹1, ¹2
2010 ¹1, ¹2, ¹3, ¹4;
2009 ¹1, ¹2, ¹3, ¹4;
2008 ¹1, ¹2, ¹3, ¹4;
2007 ¹1, ¹2, ¹3, ¹4;
2006 ¹1, ¹2, ¹3, ¹4;
2005 ¹1, ¹2, ¹3, ¹4;
2004 ¹1, ¹2, ¹3, ¹4;
2003 ¹1, ¹2, ¹3, ¹4;
2002 ¹1, ¹2, ¹3, ¹4;
2001 ¹1, ¹2, ¹3, ¹4;
2000 ¹1, ¹2, ¹3, ¹4;
1999 ¹1, ¹2, ¹3, ¹4;

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