The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems

The upper and lower bounds on non-real eigenvalues of indefinite Sturm-Liouville problems

The present paper gives a priori upper and lower bounds on non-real eigenvalues of regular indefinite Sturm-Liouville problems only under the integrability conditions. More generally, a lower bound on non-real eigenvalues of the self-adjoint operator in Krein space is obtained.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 2016-02, Vol.144 (2), p.547-559
Hauptverfasser: Qi, Jiangang, Xie, Bing, Chen, Shaozhu
Format: Artikel
Sprache:eng
Schlagworte:
B. ANALYSIS
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The present paper gives a priori upper and lower bounds on non-real eigenvalues of regular indefinite Sturm-Liouville problems only under the integrability conditions. More generally, a lower bound on non-real eigenvalues of the self-adjoint operator in Krein space is obtained.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/12854