Finite spectrum of 2nth order boundary value problems

被引：12

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

页码：1 / 8

页数：8

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