Results 91 to 100 of about 500,094 (203)

On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays

Arab Journal of Basic and Applied Sciences
This article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
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A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.
Petre Ioan-Radu
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Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices

Bulletin of Mathematical Sciences, 2018
We consider a class of Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the ...
Evgeny Korotyaev, Ari Laptev
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Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators

Abstract and Applied Analysis, 2011
The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.
N. Apreutesei, V. Volpert
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Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators

International Journal of Mathematics and Mathematical Sciences, 2001
We study the existence of a solution for a non-necessarily cooperative system of n equations involving Schrödinger operators defined on ℝN and we study also a limit case (the Fredholm Alternative (FA)). We derive results for semilinear systems.
Laure Cardoulis
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Static spectra and static families of Fredholm-type operators under tensor product

Arab Journal of Basic and Applied Sciences
In this study, we introduce the static spectrum, the Weyl static families, the upper semi-Fredholm static families, and the Browder static families. These families consist of bounded linear operators parameterized by a scalar variable.
Elvis Aponte
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No-flux boundary problems involving p(x)-Laplacian-like operators

Electronic Journal of Differential Equations, 2015
In this article we obtain weak solutions for a class nonlinear elliptic problems for the $p(x)$-Laplacian-like operators under no-flux boundary conditions.
Eugenio Cabanillas Lapa, Victor Pardo Rivera, Jose Quique Broncano   +2 more
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Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition [PDF]

In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators.
So, Bing Kwan
core  

Co-Fredholm operators. IV

, 2021
The purpose of this paper is to develop, in the context of operators of class Co, a theory of Fredholm complexes analogous to that in [6], including an index stability result under perturbations.
Bercovici, H.
core  

Elliptic G-Operators on Manifolds with Isolated Singularities

Современная математика: Фундаментальные направления, 2016
We study elliptic operators on manifolds with singularities such that a discrete group G acts on the manifold. Following the standard elliptic theory approach, we de ne the Fredholm property of an operator by its principal symbol.
A. Yu. Savin, B. Yu. Sternin
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