The finite spectrum of Sturm-Liouville problems with <i>n</i> transmission conditions and quadratic eigenparameter-dependent boundary conditions-Reference-Cited by-同舟云学术

The finite spectrum of Sturm-Liouville problems with n transmission conditions and quadratic eigenparameter-dependent boundary conditions

Published:2021-01-01 Issue:1 Volume:19 Page:1736-1745
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Li Jia¹,Hao Xiaoling¹,Li Kun²,Yao Siqin¹

Affiliation:

1. School of Mathematical Sciences, Inner Mongolia University , Hohhot 010021 , China

2. School of Mathematical Sciences, Qufu Normal University , Qufu , Shandong 273165 , China

Abstract

Abstract For any positive integer n and a set of positive integers

m i

{m}_{i}

i = 1 , 2 , … , n + 1

i=1,2,\ldots ,n+1

, we construct a class of quadratic eigenparameter-dependent boundary Sturm-Liouville problems with n transmission conditions, which have at most

∑ i = 1 n + 1 m i + n + 5

{\sum }_{i=1}^{n+1}{m}_{i}+n+5

eigenvalues. The key to this analysis is still the division of intervals and an iterative construction of the characteristic function. Further, some examples are given for a simple explanation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0107/pdf

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