Eigenvalues of a Class of Eigenparameter Dependent Third-Order Differential Operators

被引：7
|
作者：
Bai, Yulin [1 ]
Wang, Wanyi [3 ]
Li, Kun [2 ]
Zheng, Zhaowen [2 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Inner Mongolia Agr Univ, Sch Math Sci, Hohhot 010018, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2022年 / 29卷 / 03期
关键词：
Third-order differential operators; Eigenparameter dependent boundary conditions; Continuity of eigenvalues; Differentiability of eigenvalues; STURM-LIOUVILLE PROBLEMS; ADJOINT BOUNDARY-CONDITIONS;
D O I：
10.1007/s44198-022-00032-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with a class of third-order differential operators with eigenparameter dependent boundary conditions. The continuity of eigenvalues concerning a given parameter is proved. Moreover, the derivative formulas of eigenvalues concerning the parameters, in particular, the eigenparameter dependent boundary condition matrix, are given.
引用
收藏
页码：477 / 492
页数：16
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