Xingqiu Zhang
Abstract:
In this article, we study the existence of positive solutions
for Sturm-Liouville boundary-value problems of a second-order
nonlinear differential equation on the half line.
Our approach is based on the fixed point theorem and the
monotone iterative technique. Without assuming the existence
of lower and upper solution, we obtain the existence of
positive solutions, and establish iterative schemes for
approximating the solutions.
Submitted October 22, 2008. Published October 30, 2009.
Math Subject Classifications: 34B10, 34B15, 34B18, 34B40.
Key Words: Successive iteration; singular differential equation;
half line; positive solution.
Show me the PDF file (204 KB), TEX file, and other files for this article.
Xingqiu Zhang School of Mathematics, Liaocheng University Liaocheng, Shandong, China email: zhxq197508@163.com |
Return to the EJDE web page