Periodicity and Stability of Linear Volterra Difference Systems

We give sufficient conditions for a system of Volterra difference equations to have a unique periodic solution. Then a criterion for uniform asymptotic stability is established.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical analysis and applications 1994, Vol.181 (2), p.483-492
1. Verfasser:	Elaydi, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Finite differences and functional equations Mathematical analysis Mathematics Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We give sufficient conditions for a system of Volterra difference equations to have a unique periodic solution. Then a criterion for uniform asymptotic stability is established.
ISSN:	0022-247X 1096-0813
DOI:	10.1006/jmaa.1994.1037