Existence and iteration of positive solutions for third-order Sturm–Liouville boundary value problems with p-Laplacian

Xingfang Feng, Hanying Feng and Huixuan Tan

Applied Mathematics and Computation, 2015, vol. 266, issue C, 634-641

Abstract: In this paper, we investigate the existence and iteration of positive solutions for the following third-order Sturm–Liouville boundary value problem with p-Laplacian {(ϕp(u′′(t)))′+q(t)f(t,u(t),u′′(t))=0,t∈(0,1),αu(0)−βu′(0)=0,γu(1)+δu′(1)=0,u′′(0)=0,where ϕp(s)=|s|p−2s,p > 1. By applying a monotone iterative technique, we not only obtain the existence of positive solutions for the above boundary value problem, but also establish iterative schemes for approximating the solutions.

Keywords: Positive solution; Sturm–Liouville boundary value problem; Monotone iterative; p-Laplacian operator (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:634-641

DOI: 10.1016/j.amc.2015.05.118

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