Triple positive solutions for pp-Laplacian mm-point boundary value problem on time scales

In this paper we discuss the following pp-Laplacian mm-point boundary value problem on time scales TT: (φp(uΔ(t)))∇+h(t)f(t,u(t),uΔ(t))=0,t∈(0,T)T,u(0)=0,φp(uΔ(T))=∑i=1m−2aiφp(uΔ(ξi)), where φp(u)=|u|p−2uφp(u)=|u|p−2u for p>1p>1. Some new existence criteria for at least three positive solutions are established by using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge. An example is also given to demonstrate the main result.