Xu Chen, Xingqiu Zhang
Abstract:
The article shows the existence of positive solutions for
systems of nonlinear singular differential equations with integral
boundary conditions on an infinite interval in Banach spaces.
Our main tool is the Monch fixed point theorem combined with
a monotone iterative technique. In addition, an explicit
iterative approximation of the solution is provided.
Submitted August 22, 2011. Published November 10, 2011.
Math Subject Classifications: 34B15, 34B16, 34B40.
Key Words: Singular differential equations; integral boundary;
cone; ordering; positive solution; Monch fixed point theorem.
Show me the PDF file (278 KB), TEX file, and other files for this article.
Xu Chen School of Mathematics, Liaocheng University Liaocheng, Shandong, China email: woshchxu@163.com | |
Xingqiu Zhang School of Mathematics, Liaocheng University Liaocheng, Shandong, China email: zhxq197508@163.com |
Return to the EJDE web page