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The aim of this work is to study the existence of a periodic solutions ofnth-order differential equations with delay d dt x(t) + d 2 dt 2 x(t) + d 3 dt3 x(t) + ... + d n dt n x(t) = Ax(t) + L(xt) + f (t). Our approach is based onthe M-boundedness of linear operators, Fourier type, B s p,q-multipliers andBesov spaces.

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