Existence of positive solutions for a class of second-order ordinary differential systems

摘要

In this paper, we present some new concepts of superlinearity and sublinearity for nonlinear terms of second-order ordinary differential systems, and then consider the existence of positive solutions for systems with such superlinear and sublinear nonlinear terms, especially proving the existence of positive solutions for systems in which one nonlinear term is superlinear and the other is sublinear. (C) 2007 Elsevier Ltd. All rights reserved.