Controllability results for semilinear functional and neutral functional evolution equations with infinite delay

Abstract

In this paper sufficient conditions are given ensuring the controllability of mild solutions defined on a bounded interval for two classes of first order semilinear functional and neutral functional differential equations involving evolution operators when the delay is infinite using the nonlinear alternative of Leray-Schauder type.

Keywords

• controllability
• existence
• semilinear functional
• neutral functional differential evolution equations
• mild solution
• fixed-point
• evolution system
• infinite delay