Open AccessEigenvalues of fourth-order differential operators with eigenparameter dependent boundary conditions
Author(s) -
Jianfang Qin,
Kun Li,
Zhaowen Zheng,
Jinming Cai
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022512
Subject(s) - eigenvalues and eigenvectors , differential operator , mathematics , boundary value problem , order (exchange) , differential (mechanical device) , mathematical analysis , boundary (topology) , operator (biology) , matrix differential equation , differential equation , physics , chemistry , quantum mechanics , finance , repressor , gene , transcription factor , economics , thermodynamics , biochemistry
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.