Controllability of Second Order Semi-Linear Neutral Functional Differential Inclusions in Banach Spaces
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In this article, we investigate sufficient conditions for controllability of second order semi-linear neutral functional initial value problem for the class of differential inclusions in Banach spaces using the theory of strongly continuous cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. An example is provided to illustrate the result. This work is motivated by the paper of Benchohra, Gorniewicz and Ntouyas .
Mathematics Subject Classification (2000).93B05 93C10
Keywords.Controllability initial value problems convex multi-valued map evolution inclusion fixed point
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