Equivalence of Fourth Order Boundary Value Problems and Matrix Eigenvalue Problems

被引：17
|
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.
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页码：581 / 595
页数：15
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