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Bounds of non-real eigenvalues for eigenparameter-dependent Sturm–Liouville problems with indefinite weight

Part of: Ordinary differential operators

Published online by Cambridge University Press:  14 October 2025

Jinbang Feng ,
Kun Li Open the ORCID record for Kun Li [Opens in a new window] ,
Zhaowen Zheng Open the ORCID record for Zhaowen Zheng [Opens in a new window]  and
Xiaoling Hao
Jinbang Feng
Affiliation:
School of Mathematics Sciences, Qufu Normal University, Qufu, China Yanxi Middle School, Jinan, China
Kun Li*
Affiliation:
School of Mathematics Sciences, Qufu Normal University, Qufu, China
Zhaowen Zheng
Affiliation:
College of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, China
Xiaoling Hao
Affiliation:
School of Mathematics Sciences, Inner Mongolia University, Hohhot, China
*
Corresponding author: Kun Li, email: qslikun@163.com
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Abstract

In this paper, the upper bounds of non-real eigenvalues of indefinite Sturm–Liouville (S-L) problems with boundary conditions depend on the eigenparameter are studied. The upper bounds of real parts, imaginary parts and absolute values of non-real eigenvalues are given under the condition that the coefficients are integrable.

Keywords

indefinite Sturm–Liouville problemseigenparameter-dependent boundary conditionnon-real eigenvalues

MSC classification

Primary: 34L15: Eigenvalues, estimation of eigenvalues, upper and lower bounds
Secondary: 34L05: General spectral theory

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , First View , pp. 1 - 18
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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