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Title: Hyers-Ulam and Hyers-Ulam-Rassias stability for a class of integro-differential equations
Author: Castro, L. P.
Simões, A. M.
Keywords: Integro-differential equation
Hyers-Ulam stability
Hyers-Ulam-Rassias stability
Fixed point argument
Integral equation of Volterra type
Issue Date: 2019
Publisher: Springer
Abstract: We analyse different kinds of stabilities for a class of very general nonlinear integro-differential equations of Volterra type within appropriate metric spaces. Sufficient conditions are obtained in view to guarantee Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of integro-differential equations. We will consider the different situations of having the integrals defined on finite and infinite intervals. Among the used techniques, we have fixed point arguments and generalizations of the Bielecki metric. Concrete examples will be also described in view to illustrate the obtained results.
Peer review: yes
DOI: 10.1007/978-3-319-91065-9_3
ISBN: 978-3-319-91064-2
Appears in Collections:CIDMA - Capítulo de livro
DMat - Capítulo de livro
FAAG - Capítulo de livro

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