Dependence of Eigenvalues of Discontinuous Fourth-order Differential Operators with Eigenparameter Dependent Boundary Conditions-Reference-Cited by-同舟云学术

Dependence of Eigenvalues of Discontinuous Fourth-order Differential Operators with Eigenparameter Dependent Boundary Conditions

Published:2022-05-28 Issue:4 Volume:29 Page:776-793
ISSN:1776-0852
Container-title:Journal of Nonlinear Mathematical Physics
language:en
Short-container-title:J Nonlinear Math Phys

Author:

Qin Jianfang,Li Kun,Zheng Zhaowen^ORCID,Cai Jinming

Abstract

AbstractIn this paper, we investigate a fourth-order differential operator with eigenparameter dependent boundary conditions and transmission conditions. To study the eigenvalues of the problem, we establish a new operator associated with the considered problem. Furthermore, we prove that the eigenvalues are differentiable depending on the parameters of the problem. Finally, the differential expressions of the eigenvalues with respect to all parameters are given.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s44198-022-00060-x.pdf

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