Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem

被引：16
|
作者：
Lv, Xiao-xia [1 ]
Ao, Ji-jun [1 ,2 ]
Zettl, Anton [3 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
[2] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[3] Northern Illinois Univ, Math Dept, De Kalb, IL 60115 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 456卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fourth-order boundary value problems; Transmission conditions; Dependence of eigenvalues; Differential expression; STURM-LIOUVILLE PROBLEMS; CANONICAL-FORMS;
D O I：
10.1016/j.jmaa.2017.07.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fourth-order boundary value problems with discontinuous boundary conditions are studied. We prove that the eigenvalues depend not only continuously but smoothly on the coefficients and on the boundary conditions and find formulas for the derivatives with respect to each of these parameters. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：671 / 685
页数：15
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