Triple positive pseudo-symmetric solutions of three-point BVPs for p-Laplacian dynamic equations on time scales

Let T be a time scale such that 0,T∈T. We consider the three-point boundary value problem for p-Laplacian dynamic equations on time scales T of the form (ϕp(uΔ(t)))∇+h(t)f(t,u(t))=0 for t∈(0,T)T with boundary conditions u(0)=0, u(η)=u(T), where T is symmetric in [η,T]T and ϕp(u)=|u|p−2u with p>1. By using a pseudo-symmetric technique and the five-functionals fixed-point theorem, we prove that the boundary value problem has at least three positive pseudo-symmetric solutions under some assumptions. As an application, an example is given to illustrate the result.