Equivalence of Fourth Order Boundary Value Problems and Matrix Eigenvalue Problems

被引：18

作者：

Ao, Ji-jun ^{[1
,2
]}

Sun, Jiong ^{[1
]}

Zettl, Anton ^{[3
]}

机构：

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

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

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

来源：

RESULTS IN MATHEMATICS | 2013年 / 63卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Boundary value problems; matrix representations; eigenvalues;

D O I：

10.1007/s00025-011-0219-5

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 (BVPs) is equivalent to a certain class of matrix problems. Conversely, for any given matrix problem in this class, there exist fourth order self-adjoint BVPs which are equivalent to the given matrix problem. Equivalent here means that they have exactly the same spectrum.

引用

页码：581 / 595

页数：15

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