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Asymptotic theory for delay differene equations
Authors:S Elaydi  I Györi
Institution:1. Department of Mathematics , Trinity University , San Antonio, TX, 78213, USA;2. Department of Mathematics and Computing , University of Veszprém , Veszprém, Egyetem út 10, P.O. Box 158, H-8200, Hungary
Abstract:Using the new notion of block dichotomy we investigate the asymptotic behavior of nonlinear delay difference equations. Our results produce a discrete analogue of Levinson-type theorems.
Keywords:block dichotomy in difference equations  bounded solutions  asymptotic theory  systems with delays  generalization of Levinsor's theorem  structural defects
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