Differentiability and growth bounds of solutions of delay equations

We consider the question of eventual differentiability of the delay semigroups associated with the retarded equation u′ (t) = A u(t) + Φut (t ≥ 0), where ut is the history function, A generates an immediately norm-continuous semigroup and Φ is bounded. We show that this is determined by the rate of...

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Päätekijä: Batty, C
Aineistotyyppi: Journal article
Kieli:English
Julkaistu: Elsevier 2004

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