Document Type

Post-Print

Publication Date

12-2007

Abstract

We show that the condition |a| + |∑+∞l=0bl| < 1 is not necessary, though sufficient, for the asymptotic stability of xn+1 = axn + ∑+∞l=0bn-lxl. We prove the existence of a class of Volterra difference equations (VDEs) that violate this condition but whose zero solutions are asymptotically stable.

Document Object Identifier (DOI)

10.1080/10236190701264529

Publisher

Taylor & Francis

Publication Information

Journal of Difference Equations and Applications

Included in

Mathematics Commons

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