SPECTRAL THEORY OF C-SYMMETRIC NON-SELFADJOINT DIFFERENTIAL OPERATORS OF ORDER 2n
| Autor(en): | Behncke, Horst Hinton, Don |
Stichwörter: | asymptotic solutions; C-symmetric operators; essential spectrum; Green's function; m-functions; non-selfadjoint operators; singular operators | Erscheinungsdatum: | 2023 | Herausgeber: | Texas State University - San Marcos | Journal: | Electronic Journal of Differential Equations | Volumen: | 2023 | Ausgabe: | Special Issue 2 | Startseite: | 41 – 66 | Zusammenfassung: | We continue the spectral analysis of dierential operators with complex coecients, extending some results for Sturm-Liouville operators to higher order operators.We give conditions for the essential spectrum to be empty, and for the operator to have compact resolvent. Conditions are given on the coecients for the resolvent to be Hilbert-Schmidt. These conditions are new even for real coecients, i.e., the selfadjoint case. Asymptotic analysis is a central tool. © 2023 This work is licensed under a CC BY 4.0 license. |
Beschreibung: | Cited by: 0 |
ISSN: | 1072-6691 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85165959346&partnerID=40&md5=5b2c0e9e49b42dbe9acab2da5f671af6 |
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