Title: Existence of positive solutions for a third order ordinary differential system

Authors: Cai-Xun Wang, Hong-Rui Sun, Fang Wang

Addresses: Department of Basic Research, Qinghai University, Xining 810016, PR China. ' School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China. ' Department of Mathematics and Information Science, Qinghai Normal University, Xining 810008, China

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.

Keywords: third order; ordinary differential systems; fixed point index; positive solution; ordinary differential equations; ODE.

DOI: 10.1504/IJDSDE.2009.031108

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.3/4, pp.280 - 290

Published online: 20 Jan 2010 *

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