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| We prove and existence result for bounded $C^0$-solutions to a class of nonlinear delay differential
evolution inclusions subjected to nonlocal implicit initial conditions. We assume that the $m$-dissipative
part is the infinitesimal generator of a nonlinear compact semigroup of contractions, while the
multi-valued forcing term is nonempty, convex, weakly compact valued and almost strongly-weakly u.s.c. The
main difficulty here is that the history constraint function $g$, which is assumed to be nonexpansive, has
affine, instead of linear, growth and thus $g(0)$ is allowed to be nonzero.
{\bf Acknowledgements.} {\small This work was supported by a grant of the Romanian National Authority for
Scientific Research, CNCS--UEFISCDI, project number PN-II-ID-PCE-2011-3-0052.} |
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