Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/22992
 Title: Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric Author: Castro, L.P.Simões, A.M. Keywords: Hyers-Ulam stabilitySigma-semi-Hyers-Ulam stabilityHyers-Ulam-Rassias stabilityBanach fixed point theorem;Bielecki metricNonlinear integral equation Issue Date: 20-Apr-2018 Publisher: John Wiley & Sons, Inc. Abstract: We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $\sigma$-semi-Hyers-Ulam and Hyers-Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient conditions are obtained based on the use of fixed point arguments within the framework of the Bielecki metric and its generalizations. The results are illustrated by concrete examples. Peer review: yes URI: http://hdl.handle.net/10773/22992 DOI: 10.1002/mma.4857 ISSN: 1099-1476 Appears in Collections: AGG - Artigos

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