ON THE ASYMPTOTIC EQUIVALENCE OF LINEAR DELAY EQUATIONS IN BANACH SPACE

Dang Dinh Chau

Abstract

          In this paper we present some sufficient conditions for the asymptotic equivalence of linear evolution equations with time-delay in Banach spaces. Besides, we discuss the asymptotic  relationship between C₀ groups and strongly continuous evolutionary processes. The obtained results extend the Levinsons theorem on the asymptotic equivalence of linear differential equations.