Dependence of eigenvalues of fourth-order Sturm-Liouville problems on canonical boundary conditions

被引：0

作者：

Suo, Jianqing ^{[1
]}

机构：

[1] Inner Mongolia Univ, Math Dept, Hohhot 010021, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 543卷 / 02期

关键词：

Fourth-order Sturm-Liouville; problems; Canonical boundary conditions; Dependence; Eigenvalues; DIFFERENTIAL-OPERATORS; FORMS;

D O I：

10.1016/j.jmaa.2024.128890

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the dependence of eigenvalues of fourth-order SturmLiouville (SL) problems on the fundamental canonical forms of separated, coupled and mixed self-adjoint boundary conditions. The eigenvalues depend not only continuously but smoothly on the boundary conditions and boundary points. Simultaneously, the derivative expression of the eigenvalues with respect to all the parameters in the boundary conditions are given, and thus its monotonicity with respect to some parameters is derived.

引用

页数：15

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