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

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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Classification of self-adjoint domains of odd-order differential operators with matrix theory ; volume:21 ; number:1 ; year:2023 ; extent:9
Open mathematics ; 21, Heft 1 (2023) (gesamt 9)

Creator
Zhang, Maozhu
Hao, Xiaoling
Wang, Jing

DOI
10.1515/math-2023-0104
URN
urn:nbn:de:101:1-2023081914032841709641
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:00 AM CEST

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Associated

  • Zhang, Maozhu
  • Hao, Xiaoling
  • Wang, Jing

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