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The upper and lower solution method for some fourth-order boundary value problems

✍ Scribed by Zhanbing Bai

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
182 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we are concerned with the fourth-order two-point boundary value problem

By placing certain restrictions on the nonlinear term f , we obtain the existence results for the fourth-order two-point boundary value problem via the lower and upper solution method. In particular, a new truncating technique and an appropriate Nagumo-type condition are introduced and employed.

πŸ“œ SIMILAR VOLUMES

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✍ De-xiang Ma; Xiao-zhong Yang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 476 KB

This paper is concerned with the fourth-order four-point boundary value problem where Ξ·, ΞΎ ∈ (0, 1) and a, b β‰₯ 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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✍ Sihua Liang; Jihui Zhang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 514 KB

In this paper, we consider the following 2nth-order multi-point boundary value problems where The existence of iterative solutions is obtained by using the lower and upper solution method for the above 2(nm)-point boundary value problems.