Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions

被引：1

作者：

Li, Jia ^{[1
]}

Hao, Xiaoling ^{[1
]}

Li, Kun ^{[2
]}

Yao, Siqin ^{[1
]}

机构：

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

[2] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 04期

基金：

中国国家自然科学基金;

关键词：

2nth-order boundary value problems; eigenvalues; finite spectrum; transmission conditions; STURM-LIOUVILLE PROBLEMS; MATRIX REPRESENTATIONS; 4TH-ORDER;

D O I：

10.1080/01630563.2023.2171053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any positive integer 2n and any positive integer m, l, a class of regular self-adjoint and non-self-adjoint boundary value problems whose spectrum consists of at most (2n-1)(m+l+1)+1 eigenvalues is constructed. The key to this analysis is the division of intervals and an iterative construction of the characteristic function. In the self-adjoint case with separated boundary conditions this upper bound can be improved to n(m+l+2).

引用

页码：296 / 310

页数：15

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