Autonomous Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Hilbert Space

We study boundary-value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter. We obtain necessary and sufficient conditions for the existence of generalized solutions of the problem.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Ukrainian mathematical journal 2021-12, Vol.73 (7), p.1009-1022
Hauptverfasser:	Bihun, D. S., Pokutnyi, O. O., Panasenko, E. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Boundary value problems Geometry Hilbert space Mathematical analysis Mathematics Mathematics and Statistics Statistics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We study boundary-value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter. We obtain necessary and sufficient conditions for the existence of generalized solutions of the problem.
ISSN:	0041-5995 1573-9376
DOI:	10.1007/s11253-021-01973-4