Open Access
2013 On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations
İsmet Özdemir, Ümit Çakan, Bekir İlhan
Abstr. Appl. Anal. 2013: 1-5 (2013). DOI: 10.1155/2013/698234

Abstract

We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [ 0 , a ] . To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness. We give also an example satisfying the conditions of our main theorem but not satisfying the conditions described by Maleknejad et al. (2009).

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İsmet Özdemir. Ümit Çakan. Bekir İlhan. "On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations." Abstr. Appl. Anal. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/698234

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095250
MathSciNet: MR3070197
Digital Object Identifier: 10.1155/2013/698234

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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