Electron. J. Diff. Equ., Vol. 2012 (2012), No. 19, pp. 1-9.

Existence of positive solutions for systems of bending elastic beam equations

Ping Kang, Zhongli Wei

Abstract:
This article discusses the existence of positive solutions for systems of bending elastic beam equations. In mechanics, the problem describes the deformations of two elastic beams in equilibrium state, whose two ends are simply supported.

Submitted September 5, 2011. Published January 31, 2012.
Math Subject Classifications: 34B15, 39A10.
Key Words: Positive solutions; fixed points; cone.

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Ping Kang
Department of Mathematics
Tianjin Polytechnic University
Tianjin, 300160, China
email: jnkp1980@163.com, Tel: 86-22-24493329
Zhongli Wei
School of Mathematics, Shandong University
Jinan, Shandong, 250100, China.
Department of Mathematics, Shandong Jianzhu University
Jinan, Shandong, 250101, China
email: jnwzl@yahoo.com.cn

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