Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 49, Issue 5-6, Pages 841-855Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2004.06.032
Keywords
functional difference equations; discrete dichotomies; convergent solutions; asymptotic behavior; Krasnoselsky's theorem; Volterra difference equations
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Using discrete dichotomies and Krasnoselsky's theorem, we obtain existence and asymptotic behavior of convergent solutions for retarded functional difference equations. We also will get some global properties for the set of convergent solutions. Applications on Volterra difference equations with infinite delay are shown. (c) 2005 Elsevier Ltd. All rights reserved.
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