Abstract
The aim of this work is to investigate the existence and uniqueness of μ-pseudo almost periodic (resp. μ-pseudo compact almost automorphic) weak solutions for the following partial functional differential inclusion: where is a strongly maximal monotone operator on a real Hilbert space , is a Stepanov μ-pseudo almost periodic (resp. μ-pseudo compact almost automorphic) function of class r, is the Banach space of all continuous functions from to and the history function is defined by for . Two examples are given for parabolic and subdifferential systems.
Acknowledgements
The authors are grateful to the anonymous referee for carefully reading this manuscript and giving valuable suggestions for improvements.
Disclosure statement
No potential conflict of interest was reported by the author(s).