Banach Journal of Mathematical Analysis

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

L. P. Castro and A. Ramos

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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.

Article information

Banach J. Math. Anal., Volume 3, Number 1 (2009), 36-43.

First available in Project Euclid: 21 April 2009

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Zentralblatt MATH identifier

Primary: 45D05: Volterra integral equations [See also 34A12]
Secondary: 26D10: Inequalities involving derivatives and differential and integral operators 34K20: Stability theory 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

Hyers-Ulam-Rassias stability Volterra integral equation fixed point


Castro, L. P.; Ramos, A. Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations. Banach J. Math. Anal. 3 (2009), no. 1, 36--43. doi:10.15352/bjma/1240336421.

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