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On the Eigenvalue Accumulation of Sturm‐Liouville Problems Depending Nonlinearly on the Spectral Parameter

 

作者: R. Mennicken,   H. Schmi,   A. A. Shkalikov,  

 

期刊: Mathematische Nachrichten  （WILEY Available online 1998）
卷期: Volume 189, issue 1  

页码: 157-170

 

ISSN:0025-584X

 

年代: 1998

 

DOI:10.1002/mana.19981890110

 

出版商: WILEY‐VCH Verlag

 

关键词: Oscillatory;nonoscillatory;majorant pair;Suydams criterion

 

数据来源: WILEY

 

摘要:

AbstractA nonlinear spectral problem for a Sturm‐Liouville equation‐(p(x, λ)y'(x, λ))' +q(x, λ)y(x, λ) = 0 on a finite interval [a,b] with λ‐dependent boundary conditions is considered. The spectral parameter λ is varying in an interval ∧ andp(x, λ),q(x, A) are real, continuous functions on [a,b] × ∧ Some criteria to the eigenvalue accumulation at the endpoints of A will be established. The results are applied to concrete problems arising in mag

 

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