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

✍ Scribed by Patricia J.Y. Wong

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 352 KB
Volume: 55
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.04.023

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✦ Synopsis

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

where i = 1, 2, . . . , n, m i ≥ 3, 1 2 (a + b) < t * < b, ξ ≥ 0, δ > 0 and φ i 's are deviating arguments. Several criteria are offered for the existence of three fixed-sign solutions (u 1 , u 2 , . . . , u n ) of the system, i.e. for each 1 ≤ i ≤ n and all t ∈ [a, b], θ i u i (t) ≥ 0 where θ i ∈ {1, -1} is predetermined. We also present some examples to illustrate the results obtained.

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