ISRN Applied Mathematics
Volume 2011 (2011), Article ID 612591, 13 pages
http://dx.doi.org/10.5402/2011/612591
Positive Solutions for Second-Order Nonlinear Ordinary Differential Systems with Two Parameters
1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Received 7 September 2011; Accepted 23 October 2011
Academic Editor: G. C. Georgiou
Copyright © 2011 Lan Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
By using fixed-point theorem and under suitable conditions, we investigate the existence and multiplicity positive solutions to the following systems: , where are four positive constants and , , and . We derive two explicit intervals of and , such that the existence and multiplicity of positive solutions for the systems is guaranteed.