On the Spectral Properties of High-Order Differential Operators with Periodic Boundary Conditions

On the Spectral Properties of High-Order Differential Operators with Periodic Boundary Conditions

We study the spectral properties of the differential operator generated by the differential expression , , and the boundary conditions , where and is an arbitrary complex-valued function in the class , .

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Veröffentlicht in:Differential equations 2023-03, Vol.59 (3), p.312-331
1. Verfasser: Kerimov, N. B.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Difference and Functional Equations
Differential equations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
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Beschreibung
Zusammenfassung:We study the spectral properties of the differential operator generated by the differential expression , , and the boundary conditions , where and is an arbitrary complex-valued function in the class , .
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266123030035