Open AccessPerron-Type Criterion for Linear Difference Equations with Distributed Delay
Author(s) -
Jehad Alzabut,
Thabet Abdeljawad
Publication year - 2007
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2007/10840
Subject(s) - algorithm , computer science
It is shown that if a linear difference equation with distributed delay of the formΔx(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
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