Multiple positive solutions for mm-point boundary-value problems with a one-dimensional pp-Laplacian

In this paper, we consider the multipoint boundary- value problem for the one-dimensional pp-Laplacian (ϕp(u′))′+q(t)f(t,u)=0,t∈(0,1), subject to the boundary conditions: u(0)=∑i=1m−2aiu(ξi),u(1)=∑i=1m−2biu(ξi), where ϕp(s)=|s|p−2sϕp(s)=|s|p−2s. By using a fixed point theorem in a cone, we present sufficient conditions for the existence of multiple positive solutions for the above boundary value problem.