Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28673
Title: | Stabilities for a class of higher order integro-differential equations |
Author: | Castro, L. P. Simões, A. M. |
Keywords: | Stability Hyers-Ulam-Rassias stability Integro-differential equation |
Issue Date: | 4-Dec-2018 |
Publisher: | AIP Publishing |
Abstract: | This work is devoted to analyse different kinds of stabilities for higher order integro-differential equations within appropriate metric spaces. We will consider the sigma-semi-Hyers-Ulam stability which is a new kind of stability somehow between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. Sufficient conditions are obtained in view to guarantee Hyers-Ulam, sigma-semi-Hyers-Ulam and Hyers-Ulam-Rassias stabilities for such a class of integro-differential equations. We will be considering finite and infinite intervals as integration domains. Among the used techniques, we have fixed point arguments and generalizations of the Bielecki metric. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/28673 |
DOI: | 10.1063/1.5081532 |
ISSN: | 0094-243X |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CastroSimoes2018.pdf | 455.09 kB | Adobe PDF | View/Open |
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