Electron. J. Diff. Equ., Vol. 2011 (2011), No. 154, pp. 1-9.

Existence of positive solutions for nonlinear systems of second-order differential equations with integral boundary conditions on an infinite interval in Banach spaces

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