Article ID Journal Published Year Pages File Type
473083 Computers & Mathematics with Applications 2009 10 Pages PDF
Abstract

In this paper, we study the existence of positive solutions of the following nnth-order four-point boundary value problem with one dimensional pp-Laplacian {(ϕp(u(n−1)))′+h(t)f(t,u(t),u′(t),…,u(n−2)(t))=0,01,0<α≤1ξ,0<β≤11−η,0<ξ<η<1. By using a fixed point theorem in cones, the existence of a positive solution and multiple positive solutions is obtained. Also, at the end of this paper, we present a generalization of this problem.

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