Existence, uniqueness and stability of solutions for a class of nonlinear integral equations under generalized Lipschitz condition

Omid Baghani (), Mortaza Gachpazan () and Hamid Baghani ()
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Mortaza Gachpazan: Ferdowsi University of Mashhad
Hamid Baghani: Semnan University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 4, 309-321

Abstract: Abstract In this paper, we prove the existence, uniqueness and the stability of solutions for some nonlinear functional-integral equations by using generalized Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aims in Banach space X:= C([a, b],R). As application we study some Volterra integral equations with linear, nonlinear and singular kernel.

Keywords: Nonlinear functional-integral equation; Hyers-Ulam stability; iterative method; fixed point theorem (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0019-y

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