Triple positive solutions of m-point BVPs for p-Laplacian dynamic equations on time scales

摘要

This paper is concerned with the existence of positive solutions of p-Laplacian dynamic equation (phi(p)(u(Delta)(t)))(del) + a(1)(t)f(u(t)) = 0 subject to boundary conditions u(0) - B-0(Sigma(m-2)(i=1) a(i)u(Delta)(xi(i))) = 0, u(Delta)(T) = 0 or u(Delta)(0) = 0, u(T) + B-1(Sigma(m-2)(i=1) b(i)u(Delta)(xi(i))) =0, where phi(p)(v) = vertical bar v vertical bar(p-2)v with p >1. By using the five functionals fixed-point theorem, we prove that the boundary value problem has at least three positive solutions. As an application, an example is given to illustrate the result. (C) 2007 Elsevier Ltd. All rights reserved.