On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations. (24th June 2013)

• Record Type: Journal Article
• Authors: Özdemir, İsmet; Çakan, Ümit; İlhan, Bekir
• Other Names: Jeribi Aref Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-06-24
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/698234
• Languages: English
• ISSNs: 1085-3375

Abstract

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).