摘要

In this paper, we study a general second-order m-point boundary value problem for nonlinear singular dynamic equation on time scales u(Delta del),(t) a(t) u(Delta)(t) b(t)u(t) lambda q(t)f(t, u(t)) = 0, t is an element of (0, 1)(T) u(rho(0)) = 0, u(sigma(1)) = Sigma(m-2)(i=1) a(i)u(eta(i)). This paper shows the existence of multiple positive solutions if f is semipositone and superlinear. The arguments are based upon fixed-point theorems in a cone.