Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28699
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 |
URI: | http://hdl.handle.net/10773/28699 |
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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