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Existence and controllability results for semilinear neutral functional differential inclusions with nonlocal conditions

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In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.
  • Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
  • Department of Mathematics, National University of Ireland, Galway, Ireland
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