Journal of Optimization Theory and Applications

, Volume 135, Issue 3, pp 491–513

Controllability for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups


    • Department of MathematicsUniversity of Ioannina
  • D. O’Regan
    • Department of MathematicsNational University of Ireland

DOI: 10.1007/s10957-007-9228-7

Cite this article as:
Ntouyas, S.K. & O’Regan, D. J Optim Theory Appl (2007) 135: 491. doi:10.1007/s10957-007-9228-7


In this paper, we prove controllability 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.


Semilinear neutral functional differential inclusionsAnalytic semigroupsIntegrated semigroupsControllabilityFixed points

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© Springer Science+Business Media, LLC 2007