Dichotomous solutions of linear impulsive differential equations

The notion of Lp(h,k) solutions of linear impulsive differential equations in Banach spaces is introduced. Sufficient conditions for existence of such solutions are derived. Possible applications to linear control systems with impulses are considered. An illustrative example is given.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Mathematical methods in the applied sciences 2018-03, Vol.41 (5), p.1753-1760
Hauptverfasser:	Atanasova, Pavlina, Georgieva, Atanaska, Konstantinov, Mihail
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach spaces control systems with impulses Differential equations differential equations in Banach spaces Linear control linear impulsive differential equations Lp(h,k) solutions Mathematical analysis
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	The notion of Lp(h,k) solutions of linear impulsive differential equations in Banach spaces is introduced. Sufficient conditions for existence of such solutions are derived. Possible applications to linear control systems with impulses are considered. An illustrative example is given.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.4701