Multi-interval dissipative Sturm—Liouville boundary-value problems with distributional coefficients
The paper investigates spectral properties of multi-interval Sturm–Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of boundary conditions are given. Sufficient conditions for the resolvents...
Gespeichert in:
| Datum: | 2020 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Видавничий дім "Академперіодика" НАН України
2020
|
| Schriftenreihe: | Доповіді НАН України |
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/173046 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Multi-interval dissipative Sturm—Liouville boundary-value problems with distributional coefficients / A.S. Goriunov // Доповіді Національної академії наук України. — 2020. — № 7. — С. 10-16. — Бібліогр.: 15 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The paper investigates spectral properties of multi-interval Sturm–Liouville operators with distributional coefficients.
Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of
boundary conditions are given. Sufficient conditions for the resolvents of these operators to be operators of the
trace class and for the systems of root functions to be complete are found. The results are new for one-interval
boundary-value problems as well. |
|---|