Integrable solutions of a generalized mixed-type functional integral equation

Haydar Abdel Hamid and Waad Al Sayed

Applied Mathematics and Computation, 2016, vol. 276, issue C, 356-366

Abstract: In this work, we prove the existence of integrable solutions for the following generalized mixed-type nonlinear functional integral equation x(t)=g(t,(Tx)(t))+f(t,∫0tk(t,s)u(t,s,(Qx)(s))ds),t∈[0,∞).Our result is established by means of a Krasnosel’skii type fixed point theorem proved by Taoudi (2009). In the last section we give an example to illustrate our result.

Keywords: Krasnosel’skii type fixed point theorem; (ws)-compact operator; Measure of weak noncompactness; Separate contraction; Mixed-type nonlinear functional integral equation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:276:y:2016:i:c:p:356-366

DOI: 10.1016/j.amc.2015.12.024

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