Spectral properties for discontinuous Dirac system with eigenparameter‐dependent boundary condition
In this paper, Dirac system with interface conditions and spectral parameter dependent boundary conditions is investigated. By introducing a new Hilbert space, the original problem is transformed into an operator problem. Then the continuity and differentiability of the eigenvalues with respect to the parameters in the problem are showed. In particular, the differential expressions of eigenvalues for each parameter are given. These results would provide theoretical support for the calculation of eigenvalues of the corresponding problems.
Authors
- Zhaowen Zheng (ORCID: https://orcid.org/0000-0003-1976-2243)
- Li Kun (ORCID: https://orcid.org/0000-0002-2632-739X)
- Jiajia Zheng (ORCID: https://orcid.org/0000-0003-4032-8628)
Institutions
- Qufu Normal University (CN)
- Guangdong Polytechnic of Science and Technology (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-08-30
- DOI
- https://doi.org/10.1002/mma.10364
- Citations
- 2
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.78
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shandong Province
- Youth Innovation Team Project for Talent Introduction and Cultivation in Universities of Shandong Province