Delay Differential Equations in Sequence Spaces

Year 2019, Volume: 2 Issue: 3, 182 - 191, 30.09.2019

Luis Gerardo Mármol , Carmen Judith Vanegas

https://doi.org/10.33434/cams.528305

Abstract

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.

Keywords

Delay Differential Equations, Sequence Spaces, Exact Controllability

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