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Existence Results for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups

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In this paper we prove existence results for semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece

    S. K. Ntouyas

  2. Department of Mathematics, National University of Ireland, Galway, Ireland

    D. O’Regan

Authors
  1. S. K. Ntouyas
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  2. D. O’Regan
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Correspondence to S. K. Ntouyas.

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Ntouyas, S.K., O’Regan, D. Existence Results for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups. Acta Appl Math 98, 223–253 (2007). https://doi.org/10.1007/s10440-007-9157-3

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  • DOI: https://doi.org/10.1007/s10440-007-9157-3

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