Iteration for a Third‐Order Three‐Point BVP with Sign‐Changing Green′s Function

Ya-Hong Zhao and Xing-Long Li

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We are concerned with the following third‐order three‐point boundary value problem: u‴(t = f(t ,u(t, t ∈ 0,1, u′(0 = u(1 = 0, u″(η + αu(0 = 0 , where α ∈ 0,2) and η ∈ [2/3, 1). Although corresponding Green′s function is sign‐changing, we still obtain the existence of monotone positive solution under some suitable conditions on f by applying iterative method. An example is also included to illustrate the main results obtained.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/541234

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:541234

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().