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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
  2. Department of Mathematics, National University of Ireland, Galway, Ireland

Abstract

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.

Keywords

ENG
semilinear differential inclusions, nonlocal conditions, analytic semigroups, cosine functions, integrated semigroups, fixed point, nonlinear alternative, controllability

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2007/27/2
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Pages:
213-264
Main language of publication
English
Received
2005-11-21
Published
2007

DOI: 10.7151/dmdico.1084

Exact and natural sciences