Dependence of the nth Sturm-Liouville eigenvalue on the problem

被引：101

作者：

Kong, QK ^{[1
]}

Wu, HY ^{[1
]}

Zettl, A ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 156卷 / 02期

关键词：

regular Sturm-Liouville problems; nth eigenvalue; continuity; discontinuity; range;

D O I：

10.1006/jdeq.1998.3613

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the nth eigenvalue as a function on the space of self-adjoint regular Sturm-Liouville problems with positive leading coefficient and weight functions. The discontinuity of the nth eigenvalue is completely characterized, (C) 1999 Academic Press.

引用

页码：328 / 354

页数：27

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