Exact multiplicity and stability of solutions of second-order Neumann boundary value problem
Hui Xing,
Hongbin Chen and
Xibing He
Applied Mathematics and Computation, 2014, vol. 232, issue C, 1104-1111
Abstract:
The purpose of this paper is to establish the exact multiplicity and stability of solutions of the equation u″+g(x,u)=f(x) with the Neumann boundary value conditions u′(0)=u′(1)=0. Exactly three ordered solutions are obtained by taking advantage of the anti-maximum principle combined with the methods of upper and lower solutions. Moreover, we obtain that one of three solutions is negative, while the other two are positive, the middle solution is unstable, and the remaining two are stable.
Keywords: Neumann boundary value conditions; The method of lower and upper solutions; Exact multiplicity; Stability (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314001647
Full text for ScienceDirect subscribers only
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:eee:apmaco:v:232:y:2014:i:c:p:1104-1111
DOI: 10.1016/j.amc.2014.01.119
Access Statistics for this article
Applied Mathematics and Computation is currently edited by Theodore Simos
More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().