Multiple symmetric positive solutions to a new kind of four point boundary value problem Original Research Article

In this paper, we are concerned with the existence of multiple symmetric positive solutions for four point boundary value problems with one-dimensional pp-Laplacian View the MathML source(ϕp(x′(t)))′+h(t)f(t,x(t),x′(t))=0,01,ξ,η∈(0,1),ξ+η=1ϕp(s)=|s|p−2s,p>1,ξ,η∈(0,1),ξ+η=1. By using a fixed point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions. The interesting points here are that ξ>ηξ>η and the nonlinear term ff are involved with the first-order derivative explicitly.