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

被引：10
|
作者：
Qin, Jianfang [1 ]
Li, Kun [1 ]
Zheng, Zhaowen [1 ]
Cai, Jinming [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2022年 / 29卷 / 04期
关键词：
Fourth-order differential operator; Eigenparameter-dependent boundary condition; Transmission condition; Dependence of eigenvalue; Differential expression; STURM-LIOUVILLE PROBLEMS;
D O I：
10.1007/s44198-022-00060-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 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.
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页码：776 / 793
页数：18
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