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Computers & Mathematics with Applications
Volume 49, Issues 2-3, January-February 2005, Pages 271-280
 
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doi:10.1016/j.camwa.2004.07.012    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Published by Elsevier Ltd.

Constant-sign solutions for a system of integral equations on time scales

P.J.Y. Wong and Y.C. Soh

School of Electrical and Electronic Engineering Nanyang Technological University 50 Nanyang Avenue, Singapore 639798, Singapore

Received 1 June 2004; 
accepted 1 July 2004. 
Available online 25 April 2005.

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Abstract

We consider the following system of integral equations on a time scale T,

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Using a nonlinear alternative of Leray-Schauder type and Krasnosel'skii's fixed-point theorem, we establish the existence of one or more constant-sign solutions of the system. The generality of the results obtained is illustrated through application to boundary value problems.

Keywords: Constant-sign solutions; System of integral equations; Boundary value problems; Time scales


 
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