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Controllability of second order semi-linear neutral functional differential inclusions in Banach spaces. (English) Zbl 1167.93316

Summary: In this article, we investigate sufficient conditions for controllability of a 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 M. Benchohra, L. Górniewicz and S. K. Ntouyas [Discuss. Math., Differ. Incl. Control Optim. 21, No. 2, 261–282 (2001; Zbl 1020.93004)].

MSC:

93B05 Controllability
93C10 Nonlinear systems in control theory
49J24 Optimal control problems with differential inclusions (existence) (MSC2000)
47H10 Fixed-point theorems

Citations:

Zbl 1020.93004
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