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
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
i’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≤i≤n and all t
[a,b], θiui(t)≥0 where θi
{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







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