Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 71580, 13 pages
doi:10.1155/DDNS/2006/71580
Singular boundary value problem on infinite time scale
1Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
2Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, China
Received 1 June 2005; Accepted 14 August 2005
Copyright © 2006 Zhao-Cai Hao 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
This paper deals with a class of singular boundary value problems
of differential equations on infinite time scale. An existence
theorem of positive solutions is established by using the
Schauder fixed point theorem and perturbation and operator
approximation method, which resolves the singularity successfully
and differs from those of some papers. In the end of the paper, an
example is given to illustrate our main result.