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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
DOI: 10.1063/1.5081532
ISSN: 0094-243X
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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