“…The commonly employed phase space is B proposed by Hale and Kato [28], widely applied in functional differential equations with infinite delay. For more comprehensive details, one can refer to the cited papers [7,8,9,10,11,43,50].…”
This research investigates the existence of piecewise asymptotically almost automorphic mild solutions for integrodifferential equations with infinite delay. The existence results are proved by using the Mönch's fixed point theorem, the concept of measures of non-compactness theorem and resolvent operator. Finally, an example is presented to illustrate our obtained results.
“…The commonly employed phase space is B proposed by Hale and Kato [28], widely applied in functional differential equations with infinite delay. For more comprehensive details, one can refer to the cited papers [7,8,9,10,11,43,50].…”
This research investigates the existence of piecewise asymptotically almost automorphic mild solutions for integrodifferential equations with infinite delay. The existence results are proved by using the Mönch's fixed point theorem, the concept of measures of non-compactness theorem and resolvent operator. Finally, an example is presented to illustrate our obtained results.
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.