October - December, 2011
Volume 13, Issue 4
Exponential-polynomial basis for null spaces of convolution operators in classes
of ultradifferentiable functions
Abanina D. A.
We consider a homogeneous convolution equation in the Beurling
class of ultradifferentiable functions of mean type on the interval.
It is obtained that in the space of its solutions there is an exponential-polynomial basis.
Article (rus.) - [pdf] [zip-pdf]
On coefficients of exponential series for analytic functions of polynomial growth
Varziev V. A., Melikhov S. N.
In this article a criterion is obtained that the operator of
the representation of analytic functions on a bounded convex domain
G
of polynomial
growth near the boundary of
G
by exponential series, exponents
of which are zeroes of a special entire function, has a continuous linear right inverse.
Article (rus.) - [pdf] [zip-pdf]
On extension of regular homogeneous orthogonally additive polynomials
Kusraeva Z. A.
The existence of a simultaneous extension operator for regular
orthogonally additive homogeneous polynomials in vector lattice is
established. A characterization of extreme extensions is also given.
Article (rus.) - [pdf] [zip-pdf]
2-groups with given properties of finite subgroups
Lytkina D.V.
A local finiteness is proved of 2-groups, all of whose
finite subgroups (a) are nilpotent of class 2 or (b) belong to a
variety defined by the law
[x,y]
2
=1
. Besides, it is proved that
the order of the derived subgroup of a 2-group
G
is at most 2 if the order of every conjugacy class of every finite subgroup of
G
is at most 2.
Article (rus.) - [pdf] [zip-pdf]
A non-classical formula for integration by parts related to goursat problem
for a pseudoparabolic equation
Mamedov I. G.
A formula for integration by parts of non-classical type
is derived and an application to Goursat problem for the pseudoparabolic
equation with non-smooth coefficients and with dominated derivatives of fourth order is find.
Article (rus.) - [pdf] [zip-pdf]
On an approach to solution of J. W. Fickett's problem on overlapping congruent polygons
Nikonorov Yu. G., Nikonorova Yu. V.
A general approach to J. W. Fickett's problem on overlapping congruent
convex polygons on Euclidean plane is considered in details.
Article (rus.) - [pdf] [zip-pdf]
The existence of transitions between stationary regimes of the flow problemr
Sazonov L. I.
We consider the Navier-Stokes equations in exterior domain and prove the existence
of the unsteady solutions that link two steady flows. The steady flows
are assumed to be stable and closed enough.
Article (rus.) - [pdf] [zip-pdf]
Letter to the editor
Korobeinik Yu.F.
Article (rus.) - [pdf] [zip-pdf]
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conference: |
2011 ¹1, ¹2, ¹3;
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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