Dependence of Eigenvalues of (2n+1) th Order Boundary Value Problems with Transmission Conditions

被引：0

作者：

Lin, Qiuhong ^{[1
]}

机构：

[1] Guangdong Technol Coll, Sch Basic Courses, Zhaoqing 526100, Guangdong, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 03期

关键词：

Dependence of eigenvalue; Odd order differential equation; Self-adjoint operator; Transmission conditions; Boundary value problem; STURM-LIOUVILLE PROBLEMS; DIFFERENTIAL-OPERATORS;

D O I：

10.1007/s44198-023-00114-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some boundary value problems generated by (2n + 1) th order differential equation with transmission conditions. After showing that these problems generate self-adjoint operators and the eigenvalues of the problems are real, we introduce the continuous dependence and differentiable dependence of eigenvalues on parameters: coefficient functions and weight function, boundary conditions, transmission conditions, as well as the endpoints and transmission points. In addition, we obtain the differential expressions of all given parameters respectively.

引用

页码：1190 / 1209

页数：20

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