Discrete Dynamics in Nature and Society
Volume 2006 (2006), Issue 1, Article ID 71580, 13 pages
doi:10.1155/DDNS/2006/71580
Singular boundary value problem on infinite time scale
Zhao-Cai Hao
, Jin Liang
and Ti-Jun Xiao
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
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.