Jin-Mun Jeong and Han-Geul Kim Pukyong National University
Abstract : This paper deals with the regularity properties for a class of semilinear integrodifferential functional differential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given.
Keywords : semilinear control systems, existence of solutions, regularity, approximate controllability