Article ID Journal Published Year Pages File Type
4624179 Journal of Mathematical Analysis and Applications 2006 13 Pages PDF
Abstract

This paper presents sufficient conditions for the existence and multiplicity of positive solutions to the one-dimensional p-Laplacian differential equation (ϕp′(u′))+a(t)f(u,u′)=0, subject to some boundary conditions. We show that it has at least one or two or three positive solutions under some assumptions by applying the fixed point theorem.

Related Topics
Physical Sciences and Engineering Mathematics Analysis