Eigenvalues of limit-point Sturm-Liouville problems

被引：15

作者：

Zhang, Maozhu ^{[1
]}

Sun, Jiong ^{[2
]}

Zettl, Anton ^{[3
]}

机构：

[1] Taishan Univ, Coll Math & Stat, Tai An 271021, Shandong, 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：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 419卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Sturm-Liouville problems; Limit-point; Eigenvalue continuity and inequalities; DIFFERENTIAL-OPERATORS; REGULAR APPROXIMATION; INEQUALITIES; EXISTENCE; SPECTRUM;

D O I：

10.1016/j.jmaa.2014.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dependence of the eigenvalues of self-adjoint Sturm-Liouville problems on the boundary conditions when each endpoint is regular or in the limit-circle case is now, due to some surprisingly recent results, well understood. Here we study this dependence for singular problems with one endpoint in the limit-point case. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：627 / 642

页数：16

共 29 条

[1]

[Anonymous], 1968, LINEAR DIFFERENTIAL

[2]

[Anonymous], DYNAMIC SYSTEMS APPL

[3]

[Anonymous], PANAMER MATH J

[4]

Bailey P B., 1993, Results Math, V23, P3, DOI [DOI 10.1007/BF03323127, 10.1007/BF03323127]

[5] Regular and singular Sturm-Liouville problems with coupled boundary conditions [J].

Bailey, PB ;

Everitt, WN ;

Zettl, A .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 :505-514

[6] Algorithm 810: The SLEIGN2 Sturm-Liouville code [J].

Bailey, PB ;

Everitt, WN ;

Zettl, A .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2001, 27 (02) :143-192

[7]

BIRMAN MS, 1972, TOPICS MATH PHYS, V5, P19

[8] On the existence of an eigenvalue below the essential spectrum [J].

Brown, BM ;

McCormack, DKR ;

Zettl, A .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1986) :2229-2234

[9] On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm-Liouville problem [J].

Brown, BM ;

McCormack, DKR ;

Zettl, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 125 (1-2) :385-393

[10] Inequalities among eigenvalues of Sturm-Liouville problems [J].

Eastham, MSP ;

Kong, Q ;

Wu, H ;

Zettl, A .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 1999, 3 (01) :25-43

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