JanuaryMarch, 2014
Volume 16, Issue 1
Approximate solutions for multidimensional singular integral equations and fast algorithms for their solving
Vasil'ev A. V., Vasil'ev V. B.
The error estimate for continuous singular integral and the discrete ones in multidimensional
space is obtained. The use of fast Fourier transform for finding approximate solutions for equations
with such operators is suggested.
Article (rus.)  [pdf] [zippdf]
Estimates for some potential type operators whose kernels have singularities on spheres
Gurov M. N., Nogin V. A.
Multidimensional convolution operators whose kernels have powertype
singularities on a finite union of spheres in
ℝ
n
are studied on Hardy
spaces
H
p
,
0<p<∞
. Necessary and sufficient conditions are obtained
for such operators to be bounded from
H
p
into the Holder space
Λ
s
, from
H
p
into the Sobolev space
L
k
∞
, and from BMO into
Λ
s
.
Article (rus.)  [pdf] [zippdf]
Simulation the parameters of turbulent flow when diffraction of a blunt angle
Kochanenko V. N., Fetisov V. G., Mitsik M. F.
This article provides a method of calculation of parameters of a twodimensional turbulent flow when occurs
diffraction of the blunt angle. The main assumptions are conditions of uniform flow in the upper and lower canal ponds.
Article (rus.)  [pdf] [zippdf]
Nonlocal combined problem of BitsadzeSamarski and SamarskiIonkin type for a system of pseudoparabolic equations
Mamedov I. G.
In this paper we consider a problem with BitsadzeSamarskI and SamarskIIonkin conditions for a system
of pseudoparabolic equations of fourth order with discontinuous coefficients. Found an integral
representation of functions in the Sobolev space by defining the operators in the investigation
of a nonlocal problem. Even, in particular, proved Goursat problem with nonclassical boundary conditions.
Article (rus.)  [pdf] [zippdf]
On a nonlocal problem for nonlinear parabolic equation
Takhirov J. O., Turaev R. N.
A boundary problem for nonlinear parabolic equation with
nonlocal boundary conditions is considered. Some a priori estimates are derived
to establish the global existence of the solution. Uniqueness and existence theorems are proved.
Article (rus.)  [pdf] [zippdf]
Subdomains method for solution of a singular first kind integral equation with Cauchy kernel
Hajrullina L. E., Habibullina G.Z.
The method of subdomains solution of a singular integral equation of the first kind
with Cauchy kernel is investigated. A pair of weight spaces, which are the narrowing of the space
of continuous functions are introduced. The correctness of the equations on this pair of spaces is proved.
Sufficient conditions for the convergence of the method of subdomains in the uniform metric are established.
Article (rus.)  [pdf] [zippdf]
On the Ricci curvature of threedimensional metric lie algebras
Chebarikov M. S.
In this paper, we get a classification of possible values of the Ricci curvature signature of left invariant
Riemannian metrics on threedimensional Lie groups, that is a specification of some results of J. Milnor.
As an auxiliary problem, we classify threedimensional nonunimodular metric Lie algebras.
Article (rus.)  [pdf] [zippdf]
Construction of the interpolation functor in the category of Freschet spaces with common basis
Shubarin M. A.
A family of interpolating functors in the category of pairs of Frechet spaces with common
absolute basis is constructed and its properties are studied. A reiteration type theorem
is proved for this family. In terms of this interpolation functor some types of Kothe spaces are described.
Article (rus.)  [pdf] [zippdf]
Vladimir Kuz’mich Ionin (obituary)
On March 12, 2014,Vladimir Kuz’mich Ionin, the known Russian mathematician,
one of leading domestic scientists in the geometry “in whole”, Doctor of Physics
and Mathematics, has died on his 80th year.
Article (rus.)  [pdf] [zippdf]


conference: 
2013 ¹1, ¹2, ¹3, ¹4;
2012 ¹1, ¹2, ¹3, ¹4;
2011 ¹1, ¹2, ¹3, ¹4;
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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