Eigenvalues of Fourth-Order Boundary Value Problems with Self-Adjoint Canonical Boundary Conditions

被引：8

作者：

Lv, Xiao-xia ^{[1
]}

Ao, Ji-jun ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fourth-order boundary value problems; Eigenvalues; Differential expression; Self-adjoint canonical boundary conditions; STURM-LIOUVILLE PROBLEMS; DEPENDENCE;

D O I：

10.1007/s40840-018-00714-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fourth-order boundary value problems with general real self-adjoint boundary conditions are investigated. It is obtained that the eigenvalues of the problem depend not only continuously on all parameters of the problem but also smoothly on the boundary conditions. Furthermore, the derivatives of the eigenvalues with respect to boundary conditions are given in the sense of the fundamental canonical forms of fourth-order self-adjoint boundary conditions including each type of separated, mixed and coupled cases.

引用

页码：833 / 846

页数：14

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