Perron-Type Criterion for Linear Difference Equations with Distributed Delay
It is shown that if a linear difference equation with distributed delay of the form Δx(n)=∑k=−d0Δkζ(n+1,k−1)x(n+k−1), n≥1, satisfies a Perron condition then its trivial solution is uniformly asymptotically stable.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/10840 |