The behavior of solutions of linear volterra difference equations with infinite delay

Authors:
Ch. G. Philos;I. K. Purnaras
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2004

Citing 3
Cited 0

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Abstract

A class of linear Volterra difference equations with infinite delay is considered. A basic theorem on the behavior of solutions is established and, as a corollary, a useful exponential estimate for solutions is obtained and a stability criterion is derived. These results are achieved via an appropriate positive root of the corresponding characteristic equation.