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

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 19 Oct 2009 English Publisher:Birkhäuser Boston

Authors: Alexandre Floriani Ramos; Luis P. Castro;

doi: 10.1007/978-0-8176-4899-2_9

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

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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?

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University of Aveiro
Portugal
University of Aveiro
Portugal

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