Existence of positive solutions of halflinear delay differential equation

In this paper we consider the halflinear delay differential equation x (t) α−1 x (t) + n i=1 pi (t) x t − τi (t) α−1 x t − τi (t) = 0 for t t0 andα >0. Using the method of generalized Riccati equation, we give conditions for the existence of positive solutions. © 2005 Elsevier Inc. All rights reserved.