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

In: Integral Methods in Science and Engineering, Volume 1

Author

Listed:
  • L. P. Castro

    (Universidade de Aveiro)

  • A. Ramos

    (Universidade de Aveiro)

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?

Suggested Citation

  • L. P. Castro & A. Ramos, 2010. "Hyers–Ulam and Hyers–Ulam–Rassias Stability of Volterra Integral Equations with Delay," Springer Books, in: Christian Constanda & M.E. Pérez (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 9, pages 85-94, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4899-2_9
    DOI: 10.1007/978-0-8176-4899-2_9
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