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Non-autonomous retarded differential equations: the variation of constants formulas and the asymptotic behaviour. (English) Zbl 1060.47044

The autors study non-autonomous delay differential equations and obtain (mild) solutions by a variation of constants formula. This is used to derive qualitative and stability properties of the solutions.

MSC:

47D06 One-parameter semigroups and linear evolution equations
34G10 Linear differential equations in abstract spaces
34K30 Functional-differential equations in abstract spaces
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