On S-asymptotically ω-periodic mild solutions of some integrodifferential inclusions of Volterra-type

This work studies the well-posedness of S-asymptotically omega-periodic mild solutions for a class of integrodifferential inclusions with non-instantaneous impulsive effects. Firstly, under the situation that the nonlinear multivalued function satisfies some Lipschitz and nonconvex conditions and the resolvent operator is not necessarily compact, the well-posedness of S-asymptotic omega-periodic mild solutions is considered. Secondly, the existence of S-asymptotic omega-periodic mild solutions under non-Lipschitz, nonconvex conditions, and compact resolvent operator is proved. Examples are given to illustrate the applicability of our findings.