Journal of Optimization Theory and Applications

, Volume 135, Issue 3, pp 491–513

Controllability for Semilinear Neutral Functional Differential Inclusions via Analytic Semigroups

Article

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

Abstract

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.

Keywords

Semilinear neutral functional differential inclusionsAnalytic semigroupsIntegrated semigroupsControllabilityFixed points

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of IoanninaIoanninaGreece
  2. 2.Department of MathematicsNational University of IrelandGalwayIreland