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Computers & Mathematics with Applications
Volume 55, Issue 3, February 2008, Pages 516-534
 
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doi:10.1016/j.camwa.2007.04.023    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Ltd All rights reserved.

Multiple fixed-sign solutions for a system of higher order three-point boundary-value problems with deviating arguments

Patricia J.Y. Wonga, E-mail The Corresponding Author

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

Received 21 March 2007; 
accepted 10 April 2007. 
Available online 19 July 2007.

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Abstract

We consider the following system of higher order three-point boundary-value problems



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where i=1,2,…,n, mi≥3, View the MathML source, δ>0 and phii’s are deviating arguments. Several criteria are offered for the existence of three fixed-sign solutions (u1,u2,…,un) of the system, i.e. for each 1≤in and all tset membership, variant[a,b], θiui(t)≥0 where θiset membership, variant{1,−1} is predetermined. We also present some examples to illustrate the results obtained.

Keywords: Fixed-sign solutions; System of higher order three-point boundary-value problems; Deviating arguments

Article Outline

1. Introduction
2. Preliminaries
3. Main results
4. Examples
References

 
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