Abstract and Applied Analysis

Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables

Abstract

The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type. The basic tool used in investigations is the technique of measures of noncompactness and Darbo’s fixed point theorem. The results obtained in the paper are applicable, in a particular case, to the nonlinear partial integral equations of fractional orders.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 618434, 11 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425047801

Digital Object Identifier
doi:10.1155/2014/618434

Mathematical Reviews number (MathSciNet)
MR3214441

Zentralblatt MATH identifier
07022735

Citation

Darwish, Mohamed Abdalla; Banaś, Józef. Existence and Characterization of Solutions of Nonlinear Volterra-Stieltjes Integral Equations in Two Variables. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 618434, 11 pages. doi:10.1155/2014/618434. https://projecteuclid.org/euclid.aaa/1425047801

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