Positive solutions for multi-point boundary value problem on the half-line ✩

This paper presents a variety of existence results for nonlinear multi-point boundary value problem on the half-line. In particular, we consider x (t) −px (t) −qx(t) +f t,x(t) = 0, t∈ [0,∞), αx(0) −βx (0) − n i=1 kix(ξi ) = a, lim t→∞ x(t) ert = b, r ∈ 0, p + p2 +4q 2 . Existence results are established using fixed-point theorems on cone. © 2006 Elsevier Inc. All rights reserved