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Title: Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric
Author: Castro, L.P.
Simões, A.M.
Keywords: Hyers-Ulam stability
Sigma-semi-Hyers-Ulam stability
Hyers-Ulam-Rassias stability
Banach fixed point theorem;
Bielecki metric
Nonlinear 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
DOI: 10.1002/mma.4857
ISSN: 1099-1476
Appears in Collections:CIDMA - Artigos
AGG - Artigos
FAAG - Artigos

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