Electron. J. Diff. Eqns., Vol. 2008(2008), No. 106, pp. 1-8.

Positive solutions for multipoint boundary-value problem with parameters

Juanjuan Xu, Zhongli Wei

Abstract:
In this paper, we study a generalized Sturm-Liouville boundary-value problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear operators, we obtain sufficient conditions for the existence of at least one positive solution.

Submitted May 2, 2008. Published August 7, 2008.
Math Subject Classifications: 34B15, 39A10.
Key Words: Multipoint; positive solution; eigenvalue; parameters.

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Juanjuan Xu
School of Mathematics, Shandong University
Jinan, Shandong 250100, China
email: jnxujuanjuan@163.com Tel: 86-531-88369649
Zhongli Wei
School of Mathematics, Shandong University
Jinan, Shandong 250100, China
email: jnwzl@yahoo.com.cn

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