Delay Differential Equations in Sequence Spaces

Luis Gerardo Mármol, Carmen Judith Vanegas
2019 Communications in Advanced Mathematical Sciences  
The standard delay equations are newly studied in the context of classical separable Banach Sequence Spaces. As a classical solution is shown to exist, the associated semigroup and its infinitesimal generator are found, and some important properties of those operators are proven, including some spectral properties. As an application, it is shown how can these results be used to characterize the constrained null-controllability.
doi:10.33434/cams.528305 fatcat:qwd5srjfxnhflodeemuyibdnki