Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations. The consequent different cas...

Full description

Bibliographic Details
Main Author: Simões, A. M. (author)
Other Authors: Castro, L. P. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Online Access:http://hdl.handle.net/10400.6/4745
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/4745
Description
Summary:The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are considered, and some concrete examples are included to illustrate the results.