Eigenvalues of fourth-order differential operators with eigenparameter dependent boundary conditions

This paper is concerned with a fourth-order differential operator with eigenparameter dependent boundary conditions. We prove that each of the eigenvalues of the problem can be embedded in a continuous eigenvalue branch. Furthermore, the differential expressions of the eigenvalues with respect to ea...

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Veröffentlicht in:	AIMS mathematics 2022-01, Vol.7 (5), p.9247-9260
Hauptverfasser:	Qin, Jianfang, Li, Kun, Zheng, Zhaowen, Cai, Jinming
Format:	Artikel
Sprache:	eng
Schlagworte:	dependence of eigenvalue differential expression eigenparameter-dependent boundary condition fourth-order differential operator
Online-Zugang:	Volltext
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Zusammenfassung:	This paper is concerned with a fourth-order differential operator with eigenparameter dependent boundary conditions. We prove that each of the eigenvalues of the problem can be embedded in a continuous eigenvalue branch. Furthermore, the differential expressions of the eigenvalues with respect to each of parameters are given.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2022512