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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Zhang, Maozhu
Hao, Xiaoling
Wang, Jing
- DOI
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10.1515/math-2023-0104
- URN
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urn:nbn:de:101:1-2023081914032841709641
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 11:00 MESZ
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Beteiligte
- Zhang, Maozhu
- Hao, Xiaoling
- Wang, Jing
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