Eventual norm continuity for neutral semigroups on Banach spaces Academic Article

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.

authors

• Nounou, Hazem
• Nounou, Mohamed

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

publisher

• Elsevier  Publisher

keywords

• Banach Space
• Compactness
• Neutral Semigroup
• Norm Continuity
• Perturbation

Digital Object Identifier (DOI)

• 10.1016/j.jmaa.2010.09.065

start page

• 543

end page

• 552

volume

• 375

issue

• 2

URL

• http://dx.doi.org/10.1016/j.jmaa.2010.09.065