Matrix representations of fourth order boundary value problems with finite spectrum

被引：15

作者：

Ao, Ji-jun ^{[2
,3
]}

Sun, Jiong ^{[2
]}

Zettl, Anton ^{[1
]}

机构：

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

[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

[3] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Boundary value problems; Matrix representations; Eigenvalues; STURM-LIOUVILLE PROBLEMS; EIGENVALUE;

D O I：

10.1016/j.laa.2011.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a class of regular self-adjoint fourth order boundary value problems is equivalent to a certain class of matrix problems. Equivalent here means that they have exactly the same eigenvalues. Such an equivalence was previously known only in the second order case. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2359 / 2365

页数：7

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