Sihua Liang, Jihui Zhang, Zhiyong Wang
Abstract:
In this paper, we study the existence of positive solutions
for the nonlinear nth-order with m-point singular boundary-value
problem. By using the fixed point index theory and a new fixed point
theorem in cones, the existence of countably many positive solutions
for a nonlinear singular boundary value problem are obtained.
Submitted February 20, 2008. Published September 4, 2008.
Math Subject Classifications: 34B18
Key Words: Time scales; positive solutions; singular boundary-value;
fixed-point index theory.
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Sihua Liang Institute of Mathematics, School of Mathematics and Computer Sciences Nanjing Normal University, 210097, Jiangsu, China. College of Mathematics, Changchun Normal University Changchun 130032, Jilin, China email: liangsihua@163.com | |
Jihui Zhang Institute of Mathematics, School of Mathematics and Computer Sciences Nanjing Normal University, 210097, Jiangsu, China email: jihuiz@jlonline.com | |
Zhiyong Wang Department of Mathematics, Nanjing University of Information Science and Technology Nanjing 210044, Jiangsu, China email: mathswzhy@126.com |
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