Controllability for Semilinear Functional and Neutral Functional Evolution Equations with Infinite Delay in Fr,chet Spaces

摘要

The controllability of mild solutions defined on the semi-infinite positive real interval for two classes of first order semilinear functional and neutral functional differential evolution equations with infinite delay is studied in this paper. Our results are obtained using a recent nonlinear alternative due to Avramescu for sum of compact and contraction operators in Fr,chet spaces, combined with the semigroup theory.