Existence of Positive Solutions to Periodic Boundary Value Problems for Nonlinear Ordinary Differential Systems with Sign-changing Green Function
- *Corresponding Author:
- Wanjun Li
Department of Mathematics
Longdong University, Qingyang 745000
Gansu, P. R. China
E-mail: [email protected]
Received Date: March 08, 2012; Accepted Date: July 28, 2012; Published Date: July 31, 2012
Citation: Li W, An Y (2012) Existence of Positive Solutions to Periodic Boundary Value Problems for Nonlinear Ordinary Differential Systems with Sign-changing Green Function. J Appl Computat Math 1:117. doi: 10.4172/2168-9679.1000117
Copyright: © 2012 Li W, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
This paper deals with the periodic boundary value problems where is a constant and in which case the associated Greens function may changes sign. The existence result of positive solutions is established by using the fixed point index theory of cone mapping.