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.
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 ...
V.S. Guliyev; A. Serbetci; A. Akbulut; Y.Y. Mammadov(2013-06-26)
In this paper we define the Nikol’skii-Besov and Lizorkin-Triebel spaces
(B-Nikol’skii-Besov and B-Lizorkin-Triebel spaces) in the context of the Fourier-Bessel
harmonic analysis. We establish some basic properties of ...
We obtain sufficient conditions for continuity of the eigenvalues of semibounded
quasi-differential operators of order 2n on the half-axis with respect to the
parameters that appear in the corresponding differential ...
The DSM (dynamical systems method) version of the Newton’s method
is for solving operator equation F(u) = f in Banach spaces is discussed. If F is a
global homeomorphism of a Banach space X onto X, that is continuously ...
A mathematical model of the heat exchange process, where the temperature
inside some domain is controlled by m convectors acting on the boundary, is
considered. The control parameter is a vector-function, whose components ...
The two-sided estimates are obtained for two types of generalized Hardy
operators on cones of functions in weighted Lebesgue spaces with some properties of
monotonicity.
The aim of this paper is to discuss indefinite almost Hermitian manifold
with the vanishing Bochner curvature tensor. Relations between the anti-holomorphic
sectional curvature, the holomorphic sectional curvature and ...