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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