Dependence of the nth Sturm-Liouville eigenvalue on the problem

被引：101

作者：

Kong, QK ^{[1
]}

Wu, HY ^{[1
]}

Zettl, A ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1999年 / 156卷 / 02期

关键词：

regular Sturm-Liouville problems; nth eigenvalue; continuity; discontinuity; range;

D O I：

10.1006/jdeq.1998.3613

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the nth eigenvalue as a function on the space of self-adjoint regular Sturm-Liouville problems with positive leading coefficient and weight functions. The discontinuity of the nth eigenvalue is completely characterized, (C) 1999 Academic Press.

引用

页码：328 / 354

页数：27

共 50 条

[31] CORRECTION OF STURM-LIOUVILLE EIGENVALUE ESTIMATES
PAINE, J
MATHEMATICS OF COMPUTATION, 1982, 39 (160) : 415 - 420
[32] Eigenvalue ratios for Sturm-Liouville problems
Hedhly, Jihed
JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (05)
[33] Equality of multiplicities of a Sturm-Liouville eigenvalue
Wang, Z
Wu, HY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (02) : 540 - 547
[34] THE DEPENDENCE OF THE EIGENVALUES OF THE STURM-LIOUVILLE PROBLEM ON BOUNDARY CONDITIONS
Harutyunyan, T. N.
MATEMATICKI VESNIK, 2008, 60 (04): : 285 - 294
[35] Dependence of eigenvalue of Sturm-Liouville operators on the real coupled boundary condition
Yang, Xinya
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 538 (02)
[36] Eigenvalue ratios and eigenvalue gaps of Sturm-Liouville operators
Law, CK
Huang, YL
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1998, 128 : 337 - 347
[37] ON THE MAXIMUM AND MINIMUM OF SOME FUNCTIONALS FOR THE EIGENVALUE PROBLEM OF STURM-LIOUVILLE TYPE
CHERN, HH
SHEN, CL
JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 107 (01) : 68 - 79
[38] EIGENVECTORS OF A FINITE-DIFFERENCE APPROXIMATION TO STURM-LIOUVILLE EIGENVALUE PROBLEM
GEKELER, E
MATHEMATICS OF COMPUTATION, 1974, 28 (128) : 973 - 979
[39] The eigenvalue problem for the Sturm-Liouville operator with potential depending on the spectral parameter
Zhidkov, PE
DIFFERENTIAL EQUATIONS, 1997, 33 (01) : 38 - 46
[40] THE INVERSE STURM-LIOUVILLE PROBLEM
LEVINSON, N
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (07) : 693 - 693

← 1 2 3 4 5 →