EXACT NULL CONTROLLABILITY OF NON-AUTONOMOUS FUNCTIONAL EVOLUTION SYSTEMS WITH NONLOCAL CONDITIONS

摘要

In this article,by using theory of linear evolution system and Schauder fixed point theorem,we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions.In particular,the compactness condition or Lipschitz condition for the function g in the nonlocal conditions appearing in various literatures is not required here.An example is also provided to show an application of the obtained result.