A characterization of boundary conditions for regular sturm-liouville problems which have the same lowest eigenvalues

Guangsheng Wei; Zongben Xu

doi:10.1216/rmjm/1181069477

A characterization of boundary conditions for regular sturm-liouville problems which have the same lowest eigenvalues

Guangsheng Wei
, Zongben Xu

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we characterize the self-adjoint boundary conditions for the regular Sturm-Liouville problems which have the same lowest bound. In addition, we answer the equal cases of the inequalities among the minimal eigenvalues of the Sturm-Liouville problems [4].

Original language	English
Pages (from-to)	741-763
Number of pages	23
Journal	Rocky Mountain Journal of Mathematics
Volume	36
Issue number	2
DOIs	https://doi.org/10.1216/rmjm/1181069477
State	Published - 2006

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abstract = "In this paper we characterize the self-adjoint boundary conditions for the regular Sturm-Liouville problems which have the same lowest bound. In addition, we answer the equal cases of the inequalities among the minimal eigenvalues of the Sturm-Liouville problems [4].",

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A characterization of boundary conditions for regular sturm-liouville problems which have the same lowest eigenvalues

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