Matrix representations of fourth order boundary value problems with periodic boundary conditions

被引：5
作者：
Ge, Suqin [1 ]
Wang, Wanyi [1 ]
Ao, Jijun [2 ]
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
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 227卷
关键词：
Boundary value problems; Matrix representations; Eigenvalues; STURM-LIOUVILLE PROBLEMS; TRANSMISSION CONDITIONS; FINITE SPECTRUM;
D O I：
10.1016/j.amc.2013.11.059
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 eigenvalues. Such an equivalence is considered with the special coupled boundary conditions, i.e. periodic boundary conditions. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：601 / 609
页数：9
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