This paper deals with a nonlinear Volterra delay evolution inclusion subjected to a nonlocal implicit initial condition. The evolution inclusion involves an $m$-dissipative operator (possibly multivalued and/or nonlinear) and a noncompact interval. We first consider the evolution inclusion subjected to a local initial condition and prove an existence result for bounded $C^0$-solutions. Then, using a fixed point theorem for upper semicontinuous multifunctions with contractible values, we obtain a global solvability result for the original problem. Finally, we present an example to illustrate the abstract result.
"Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions." Topol. Methods Nonlinear Anal. 58 (1) 135 - 160, 2021. https://doi.org/10.12775/TMNA.2020.065