Eventual norm continuity for neutral semigroups on Banach spaces Academic Article uri icon

abstract

  • In this paper we prove, under suitable hypotheses, eventually norm continuity and compactness of the solution semigroups of certain neutral differential equations in Banach spaces. Our approach is based on a general perturbation theorem obtained from closed-loop systems of infinite dimensional control systems with unbounded control and observation operators. In fact, the solution semigroup can be viewed as the semigroup of an appropriate closed-loop system in product state spaces. 2010.

published proceedings

  • Journal of Mathematical Analysis and Applications

author list (cited authors)

  • Hadd, S., Nounou, H., & Nounou, M.

citation count

  • 4

complete list of authors

  • Hadd, S||Nounou, H||Nounou, M

publication date

  • March 2011