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Perron type theorems for functional differential equations with infinite delay in a Banach space
Authors:Kazuyuki Matsui  Hideaki Matsunaga  Satoru Murakami
Affiliation:1. Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan;2. Department of Applied Mathematics, Okayama University of Science, Okayama 700-0005, Japan
Abstract:For functional differential equations in a Banach space, we obtain some results on the asymptotic behavior of solutions, which correspond to Perron type theorems for differential equations without delay or with finite delay.
Keywords:Functional differential equations   Asymptotic behavior   Phase space   Delay
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