Controllability of second‐order impulsive neutral functional differential inclusions in Banach spaces |
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| Authors: | Jong Yeoul Park Sun Hye Park Yong Han Kang |
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| Institution: | 1. Department of Mathematics, Pusan National University, Pusan 609‐735, Korea;2. Department of Mathematics, University of Ulsan, Ulsan 680‐749, Korea |
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| Abstract: | In this paper, we shall prove the controllability of second‐order impulsive neutral functional differential inclusions with infinite delay in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families and a fixed point theorem for multi‐valued mappings. As an example, we also consider an second‐order impulsive neutral functional differential equation with infinite delay. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | controllability neutral functional impulsive differential inclusion fixed point theorem |
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