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

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, γ u(1)+ δu′(1) = 0,u′′(0) = 0, where φp(s) = |s|p−2s, p > 1. By applying a monotone iterative technique, we not only… (More)
DOI: 10.1016/j.amc.2015.05.118

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