Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
L. P. Castro and A. Ramos
Source: Banach J. Math. Anal.
Volume 3, Number 1
(2009), 36-43.
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.
Primary Subjects: 45D05
Secondary Subjects: 26D10, 34K20, 47H10
Keywords: Hyers-Ulam-Rassias stability; Volterra integral equation; fixed point
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bjma/1240336421
Mathematical Reviews number (MathSciNet):
MR2461744
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MR120127
