Finite spectrum of 2nth order boundary value problems

被引：11
|
作者：
Ao, Ji-jun [1 ]
Sun, Jiong [2 ]
Zettl, Anton [3 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[3] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 42卷
基金：
中国国家自然科学基金;
关键词：
2nth order boundary value problems; Eigenvalues; Finite spectrum; STURM-LIOUVILLE PROBLEMS;
D O I：
10.1016/j.aml.2014.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For any even positive integer 2n and any positive integer m we construct a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most (2n 1)m + 1 eigenvalues. Our main result reduces to previously known results for the cases n = 1 and n = 2. In the self-adjoint case with separated boundary conditions this upper bound can be improved to n(m + 1). (C) 2014 Elsevier Ltd. All rights reserved.
引用
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页码：1 / 8
页数：8
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