Bounds of non-real eigenvalues for eigenparameter-dependent Sturm–Liouville problems with indefinite weight
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.
Authors
- Zhaowen Zheng (ORCID: https://orcid.org/0000-0003-1976-2243)
- Xiaoling Hao
- Kun Li (ORCID: https://orcid.org/0000-0003-3076-2586)
- Jinbang Feng (ORCID: https://orcid.org/0000-0002-9328-5732)
Institutions
- Middle East Institute (US)
- Qufu Normal University (CN)
- Inner Mongolia University (CN)
- Guangdong Polytechnic Normal University (CN)
- Crest Middle School (US)
Publication Details
- Journal
- Proceedings of the Edinburgh Mathematical Society
- Published
- 2025-10-14
- DOI
- https://doi.org/10.1017/s0013091525101065
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00