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Resolvent of nonautonomous linear delay functional differential equations. (English) Zbl 1337.34067
Summary: The aim of this paper is to give a complete proof of the formula for the resolvent of a nonautonomous linear delay functional differential equations given in the book of J. K. Hale and S. M. Verduyn Lunel [Introduction to functional differential equations. New York, NY: Springer-Verlag (1993; Zbl 0787.34002)] under the assumption alone of the continuity of the right-hand side with respect to the time,when the notion of solution is a differentiable function at each point, which satisfies the equation at each point, and when the initial value is a continuous function.

34K06 Linear functional-differential equations
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