Existence of multiple positive solutions for nonlinear m-point boundary-value problems

摘要

In this paper, we afford some sufficient conditions to guarantee the existence of multiple positive solutions for the nonlinear m-point boundary-value problem for the one-dimensional p-Laplacian(φp(u′))′+f(t,u)=0,t∈(0,1),u′(0)=∑i=1m−2biu′(ξi),u(1)=∑i=1m−2aiu(ξi).