Electron. J. Diff. Eqns., Vol. 2006(2006), No. 78, pp. 1-13.

Positive solutions of four-point boundary-value problems for four-order p-Laplacian dynamic equations on time scales

Hua Su, Baohe Wang, Zhongli Wei

Abstract:
We study the existence of positive solutions for the nonlinear four-point singular boundary-value problem with p-Laplacian operator on time scales. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary-value problem with p-Laplacian operator are obtained.

Submitted May 10, 2006. Published July 19, 2006.
Math Subject Classifications: 34B18.
Key Words: Time scales; four-point boundary-value problems; cone; fixed points; positive solutions

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Hua Su
School of Mathematics and System Sciences
Shandong University
Jinan Shandong, 250100, China
email: jnsuhua@163.com
Baohe Wang
Shandong Administration Institute
Jinan Shandong, 250014, China
Zhongli Wei
School of Mathematics and System Sciences
Shandong University
Jinan Shandong, 250100, China
email: jnwzl@yahoo.com.cn

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