The famous French scientist J. Hadamard constructed the well-known
example illustrating the incorrectness of the Cauchy problem for the Laplace equation.
Since then, the question arises whether there exists a Volterra ...
Given a closed bounded convex plane set covered by a family of open sets,
we show that there is a finite dissection of the convex set into convex subsets, each of
which lies within some open set of the covering.
Ghazaryan, H.G.(The Eurasian National University, 2013)
A linear differential operator P(D) with constant coefficients is called almost hypoelliptic if all derivatives P(ν)(ξ) of the characteristic polynomial P(ξ) can be estimated above via P(ξ). In this paper we describe the ...
Lamberti, P.D.; Provenzano, L.(The Eurasian National University, 2013)
We consider eigenvalue problems for general elliptic operators of arbitrary order subject to homogeneous boundary conditions on open subsets of the Euclidean N-dimensional space. We prove stability results for the dependence ...
Applying the two-operator approach, the mixed (Dirichlet-Neumann)
boundary value problem for a second-order scalar elliptic differential equation with
variable coefficients is reduced to several systems of Boundary Domain ...
Azzouz, N.; Halim, B.; Senouci, A.(The Eurasian National University, 2013)
A Hardy-type inequality for 0 < p < 1 with sharp constant is established in [7], [4]. The aim of this work is to extend this inequality for the weighted Hardy operator.
Bondarenko, N.P.(The Eurasian National University, 2013)
We consider a quadratic matrix boundary value problem with equations and boundary conditions dependent on a spectral parameter. We study an inverse problem that consists in recovering the differential pencil by the so–called ...
Ramazanov, M.D.; Rakhmatullin, D.Y.(The Eurasian National University, 2013)
In this note we discuss new theoretical results on Sobolev lattice formulas and applications to programmes for multi-dimensional approximate integrating and solving integral equations.
Basalaev, S.G.; Vodopyanov, S.K.(The Eurasian National University, 2013)
We study the approximate differentiability of measurable mappings of Carnot–Carath ́eodory spaces. We show that the approximate differentiability almost everywhere is equivalent to the approximate differentiability along ...
In this paper, we introduce a new semistability condition for quiver bundles
which generalizes both the notion found by Alvarez-C onsul and by the author.
We construct moduli spaces for the semistable bundles, applying ...
Rao, K.P.R.; Rao, K.R.K.(The Eurasian National University, 2014)
In this paper, we introduce the notion of (θ, L) generalized weak contraction for a hybrid pair of mappings in a partial metric space by using partial Hausdorff metric. The main result of the paper generalizes the main ...
The present work is a survey paper devoted to studying two variants
of o-minimality: weak o-minimality and weak circular minimality (mostly in the @0-
categorical case.
We show that Brennan’s conjecture is equivalent to the boundedness of composition
operators on homogeneous Sobolev spaces, that are generated by conformal
homeomorphisms of simply connected plane domains to the unit disc. ...
For general Carnot groups, we obtain coercive estimates for homogeneous
di erential operators with constant coe cients, kernels of which have nite dimension.
We develop new Sobolev-type integral representations of di ...
Tararykova, T.V.(The Eurasian National University, 2013)
It is proved that in one of the popular definitions of general local and global Morrey-type spaces the functional parameter which enters these definitions can be replaced, without essential loss of generality, by another ...