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|Title:||Stabilities for a class of higher order integro-differential equations|
|Author:||Castro, L. P.|
Simões, A. M.
|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.|
|Appears in Collections:||CIDMA - Artigos|
DMat - Artigos
FAAG - Artigos
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