Exact null controllability for semilinear differential equations with nonlocal conditions in Hilbert spaces
Abstract:We present some sufficient conditions for the exact null controllability of semilinear differential equations with nonlocal conditions in Hilbert spaces. By using operator semigroups and fixed point theorems, we obtain some new results on exact null controllability when the nonlocal item is Lipschitz continuous and is neither Lipschitz nor compact, respectively. The method in this paper can also be applied to other nonlocal differential systems to weaken the compactness of nonlocal item. An example concerning … Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.