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Pré-Publication, Document De Travail Année : 2017

Existence and uniqueness of periodic solution of nth-order Equations with delay in Banach space having Fourier type

Bahloul Rachid

Résumé

The aim of this work is to study the existence of a periodic solutions of nth-order differential equations with delay d dt x(t) + d 2 dt 2 x(t) + d 3 dt 3 x(t) + ... + d n dt n x(t) = Ax(t) + L(xt) + f (t). Our approach is based on the M-boundedness of linear operators, Fourier type, B s p,q-multipliers and Besov spaces.
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hal-01566894 , version 1 (21-07-2017)

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Bahloul Rachid. Existence and uniqueness of periodic solution of nth-order Equations with delay in Banach space having Fourier type. 2017. ⟨hal-01566894⟩
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