Existence of positive solutions for a third order ordinary differential system. Issue 3 (22nd January 2010)

• Record Type: Journal Article
• Authors: Wang, Cai-Xun; Sun, Hong-Rui; Wang, Fang
• Is Part Of: International journal of dynamical systems and differential equations. Volume 2:Issue 3/4(2009)
• Page Start: 280
• Page End: 290
• Publication Date: 2010-01-22
• Subjects: third order -- ordinary differential systems -- fixed point index -- positive solution -- ordinary differential equations -- ODE; Differential equations -- Periodicals; 515.35
• Languages: English
• ISSNs: 1752-3583

Abstract

In this paper, we consider the existence of positive solution for a class of third order ordinary differential system, where the nonlinear term is superlinear in one equation and sublinear in the other equation in some sense, by applying the fixed point index theory on the cone K1 × K2 which is the cartesian product of two cones, the existence criteria of at least one positive solutions of the system is established. An example is also given to illustrate the main result.