Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 3, Number 1 (2009), 36-43.
Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
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.
Banach J. Math. Anal., Volume 3, Number 1 (2009), 36-43.
First available in Project Euclid: 21 April 2009
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
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]
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. https://projecteuclid.org/euclid.bjma/1240336421