Resolvent of nonautonomous linear delay functional differential equations

• Autorzy: Joël Blot , Mamadou I. Koné
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

resolvent; linear delay functional differential equation

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-06-15

zaakceptowano

2015-09-24

online

2015-10-16

Twórcy

autor

Joël Blot

• Laboratoire SAMM, Université Paris 1 Panthéon-Sorbonne, centre P.M.F., 90 rue de Tolbiac, 75634 Paris cedex 13, France,

autor

Mamadou I. Koné

• Laboratoire SAMM, Université Paris 1 Panthéon-Sorbonne, centre P.M.F., 90 rue de Tolbiac, 75634 Paris cedex 13, France,

Bibliografia

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Identyfikatory

DOI

10.1515/msds-2015-0006