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Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of integral equations on finite intervals

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The purpose of this work is to study different kinds of stability for a class of integral equations defined on a finite interval. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability by using fixed point techniques and the Bielecki metric.

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Hyers-Ulam stability Hyers-Ulam-Rassias stability Banach fixed point theorem Integral equation

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L. P. Castro, A. M. Simoes, Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of integral equations on finite intervals, CMMSE'17: Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering, Spain, 507-515, 2017.

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