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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 16, 2015

Resolvent of nonautonomous linear delay functional differential equations

  • Joël Blot and Mamadou I. Koné

Abstract

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 Hale and Verduyn Lunel [9] 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.

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Received: 2015-6-15
Accepted: 2015-9-24
Published Online: 2015-10-16

©2015 Joël Blot and Mamadou I. Koné

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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