✦ LIBER ✦

Upper and lower solution method for fourth-order four-point boundary value problems

✍ Scribed by De-xiang Ma; Xiao-zhong Yang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 476 KB
Volume: 223
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.10.051

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is concerned with the fourth-order four-point boundary value problem

where η, ξ ∈ (0, 1) and a, b ≥ 0. The upper and lower solution method and a new maximum principle are employed to establish existence results and we release the increasing condition imposed on f (t, u, v).

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