Electron. J. Diff. Eqns., Vol. 2006(2006), No. 24, pp. 1-10.

Positive solutions for second-order m-point boundary-value problems with nonlinearity depending on the first derivative

Liu Yang, Xiping Liu, Chunfang Shen

Abstract:
We consider multiplicity of positive solutions for second-order m-point boundary-value problems, with the first order derivative involved in the nonlinear term. Using a fixed point theorem, we show the existence of at least three positive solutions. By giving an example we illustrate the main result of the article.

Submitted June 6, 2005. Published February 23, 2006.
Math Subject Classifications: 34B10, 34B15.
Key Words: Boundary value problem; positive solution; cone; fixed point theorem.

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Liu Yang
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: xjiangfeng@163.com>
Xiping Liu
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: xipingliu@163.com
Chunfang Shen
College of Science
University of Shanghai for Science and Technology
Shanghai 200093, China
email: minirose1982@163.com

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