Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay

L. P. Castro () and A. Ramos ()
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L. P. Castro: Universidade de Aveiro
A. Ramos: Universidade de Aveiro

Chapter 9 in Integral Methods in Science and Engineering, Volume 1, 2010, pp 85-94 from Springer

Abstract: Abstract Considerable attention has been given to the study of the Hyers–Ulam and Hyers–Ulam–Rassias stability of functional equations (see, e.g., [HIR98, Ju01]). The concept of stability for a functional equation arises when we replace the functional equation by an inequality which acts as a perturbation of the equation. Thus, the stability question of functional equations is how do the solutions of the inequality differ from those of the given functional equation?

Date: 2010
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DOI: 10.1007/978-0-8176-4899-2_9

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