Perron-Type Criterion for Linear Difference Equations with Distributed Delay

Jehad O. Alzabut and Thabet Abdeljawad

Discrete Dynamics in Nature and Society, 2007, vol. 2007, 1-12

Abstract:

It is shown that if a linear difference equation with distributed delay of the form Δ x ( n ) = ∑ k = − d 0 Δ k ζ ( n + 1 , k − 1 ) x ( n + k − 1 ) , n ≥ 1 , satisfies a Perron condition then its trivial solution is uniformly asymptotically stable.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:010840

DOI: 10.1155/2007/10840

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