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

被引：1
作者：
Xiao-xia Lv
Ji-jun Ao
机构：
[1] Inner Mongolia University of Technology,College of Sciences
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷
关键词：
Fourth-order boundary value problems; Eigenvalues; Differential expression; Self-adjoint canonical boundary conditions; Primary 34B05; 34B09; Secondary 65L10; 65L15;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：833 / 846
页数：13
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