Multiple Positive Solutions for Second Order m-Point Boundary Value Problems

In this paper, the second order m-point boundary value problem u´´(t) + a(t)u´(t) + f{t,u) = 0, 0 les t les 1, u´(0) -^m-2Sigma_i=1 k_iu´(xi_i) = 0, u(1) = 0 is studied, where k{ > 0(i = 1, 2,..., m-2), 0 < xi₁< xi₂ < ... < xi_m-2 < 1. We obtain the existence of at least three positive solutions by using the Leggett-Williams fixed point theorem and the properties.