More on Linear Differential Systems with Small Delays

By Ovide Arino, M. Pituk. 2001

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Let R and R* denote the n-dimensional space of real column vectors and the n-dimensional space of real row vectors, respectively, with any convenient norm | } |. For r>0, let C=C([&r, 0], R) denote the Banach space of continuous functions from [&r, 0] into R with the supremum norm, |,|=sup&r % 0 |,(%)| for , # C. The space C*=C([0, r], R*) is defined similarly. Adopting the usual conventions, if x: [t&r, t] R and y: [t, t+r] R* are continuous functions, then the new functions xt # C and y # C* are defined by

Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health

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