Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators

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.

Saved in:
Bibliographic Details
Main Authors: N. Apreutesei, V. Volpert
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/629692
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1085-3375
1687-0409