Adıvar, MuratKoyuncuoglu, Halis CanRaffoul, Youssef N.2023-06-162023-06-1620161452-86302406-100Xhttps://doi.org/10.2298/AADM160402006Ahttps://hdl.handle.net/20.500.14365/2393We study the existence of almost automorphic solutions of the delayed neutral dynamic system on hybrid domains that are additively periodic. We use exponential dichotomy and prove the uniqueness of projector of exponential dichotomy to obtain some limit results leading to sufficient conditions for existence of almost automorphic solutions to neutral system. Unlike the existing literature we prove our existence results without assuming boundedness of the coefficient matrices in the system. Hence, we significantly improve the results in the existing literature. Finally, we also provide an existence result for almost periodic solutions of the system.eninfo:eu-repo/semantics/openAccessAlmost automorphicexponential dichotomyneutral dynamic systemtime scaleunique projectionPositive Periodic-SolutionsDifferential-EquationsNoise ModelExistenceArticle10.2298/AADM160402006A2-s2.0-84971280954