Two positive solutions for boundary value problems of a kind of Sturm-Liouville functional differential equations

In this paper, by using of a fixed point theorem in cones, we investigate the existence of two positive solutions for boundary value problem (BVP, in short) of a kind of Sturm-Liouville functional differential equations (FDE, in short) of the form: (p (t) u')' + q (t) u + f (t, u) = 0 for 0 less than or equal to t less than or equal to 1, alpha(1) u (t) - beta(1) u' (t) = mu (t) for -tau less than or equal to t less than or equal to 0, alpha(2) u (t) + beta(2) u' (t) = v (t) for 1 less than or equal to t less than or equal to 1 + h, where f(t, u(t)) = Sigma(n) (i=1) a(i) (t) u (t + tau(i)))(gammai).