We show that the condition is not necessary, though sufficient, for the asymptotic stability of . We prove the existence of a class of Volterra difference equations (VDEs) that violate this condition but whose zero solutions are asymptotically stable.

On the asymptotic stability of linear Volterra difference equations of convolution type

Vecchio A
2007

Abstract

We show that the condition is not necessary, though sufficient, for the asymptotic stability of . We prove the existence of a class of Volterra difference equations (VDEs) that violate this condition but whose zero solutions are asymptotically stable.
2007
Istituto Applicazioni del Calcolo ''Mauro Picone''
Istituto Applicazioni del Calcolo ''Mauro Picone''
Volterra difference equations
Asymptotic stability
Convolution
Open question
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/115823
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 15
social impact