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Title: New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
Author: Simões, A. M.
Carapau, F.
Correia, P.
Keywords: Hyers-ulam stability
Hyers-ulam-rassias stability
Banach fixed point theorem
Issue Date: 2-Nov-2021
Publisher: MDPI
Abstract: In this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the sigma-semi-Hyers-Ulam stability, which is in some sense between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. These new sufficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric.
Peer review: yes
DOI: 10.3390/sym13112068
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Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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