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Asymptotic behavior of solutions of functional difference equations
Authors:Hideaki Matsunaga  Satoru Murakami
Institution:a Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan
b Department of Applied Mathematics, Okayama University of Science, Okayama 700-0005, Japan
Abstract:For linear functional difference equations, we obtain some results on the asymptotic behavior of solutions, which correspond to a Perron-type theorem for linear ordinary difference equations. We also apply our results to Volterra difference equations with infinite delay.
Keywords:Functional difference equations  Asymptotic behavior  Phase space  Volterra difference equations  Delay
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