Classification of self-adjoint domains of odd-order differential operators with matrix theory-Reference-Cited by-同舟云学术

Classification of self-adjoint domains of odd-order differential operators with matrix theory

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhang Maozhu¹,Hao Xiaoling²,Wang Jing³

Affiliation:

1. College of Mathematics and Statistics, Taishan University , Taian , 271021 , China

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

3. College of Tourism, Taishan University , Taian , 271021 , China

Abstract

Abstract In this article, we investigate the classification of self-adjoint boundary conditions of odd-order differential operators. We obtain that for odd-order self-adjoint boundary conditions under some assumptions, there are exactly two basic types of self-adjoint boundary conditions: coupled and mixed. Moreover we determine the number of possible conditions for each type, which is different from the even-order cases. Our construction will play an important role in the canonical forms and in the spectral analysis of these operators.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0104/pdf

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