Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations

L. P. Castro; A. Ramos

doi:10.15352/bjma/1240336421

2009 Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations

L. P. Castro, A. Ramos

Banach J. Math. Anal. 3(1): 36-43 (2009). DOI: 10.15352/bjma/1240336421

Abstract

The paper is devoted to the study of Hyers, Ulam and Rassias types of stability for a class of nonlinear Volterra integral equations. Both Hyers-Ulam-Rassias stability and Hyers-Ulam stability are obtained for such a class of Volterra integral equations when considered on a finite interval. In addition, for corresponding Volterra integral equations on infinite intervals the Hyers-Ulam-Rassias stability is also obtained.

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L. P. Castro and A. Ramos "Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations," Banach Journal of Mathematical Analysis 3(1), 36-43, (2009). https://doi.org/10.15352/bjma/1240336421

Published: 2009

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