The intersection of the spectra of two Sturm-Liouville equations

被引：0

作者：

Zhang, YanXia ^{[1
]}

Wang, ZhongZhi ^{[1
]}

Zhang, Xuefeng ^{[2
]}

机构：

[1] AnHui Univ Technol, Sch Math & Phys, Maanshan 243002, Peoples R China

[2] AnHui Univ Technol, Dept Comp Sci, Maanshan 243002, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Vectorial Sturm-Liouville problems; Eigenvalues; Spectrum; Multiplicity; Potential function; EIGENVALUES;

D O I：

10.1016/j.amc.2012.08.105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the intersection of the spectra for two Sturm-Liouville equations with general separated BCs and real coupled BCs. Under certain conditions, we proved that a two-dimensioned vectorial SLPs with separated BCs only has finitely many double eigenvalues and obtain a bound M-Q depending on Q(x) and its eigenvalues, which are larger than M-Q, are all simple. Finally, with the help of the obtained results, we conclude that the number of the same eigenvalue is finite for two one-dimensioned SLPs with general separated BCs or real coupled BCs. (C) 2012 Published by Elsevier Inc.

引用

页码：4232 / 4238

页数：7

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