Electron. J. Diff. Eqns.,
Vol. 2008(2008), No. 123, pp. 1-13.
Existence of countably many positive solutions for nth-order
m-point boundary-value problems on time scales
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 |
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Jihui Zhang
Institute of Mathematics, School of Mathematics and Computer
Sciences
Nanjing Normal University, 210097, Jiangsu, China
email: jihuiz@jlonline.com |
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Zhiyong Wang
Department of Mathematics, Nanjing University of Information Science
and Technology
Nanjing 210044, Jiangsu, China
email: mathswzhy@126.com |
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