Eigenvalues of Sturm-Liouville problems with eigenparameter dependent boundary and interface conditions

Autor:	Jiajia Zheng, Kun Li, Zhaowen Zheng
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Sturm-Liouville problems interface conditions continuity differential expression Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 28, Iss 3 (2023)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2023.17094
Popis:	In this paper, a regular discontinuous Sturm-Liouville problem which contains eigenparameter in both boundary and interface conditions is investigated. Firstly, a new operator associated with the problem is constructed, and the self-adjointness of the operator in an appropriate Hilbert space is proved. Some properties of eigenvalues are discussed. Finally, the continuity of eigenvalues and eigenfunctions is investigated, and the differential expressions in the sense of ordinary or Fréchet of the eigenvalues concerning the data are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/05e77e97eb9444d093dfad56d792a964 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF