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
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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