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arXiv · 1708.05608

Periodic solutions of integro-differential equations in Banach space having Fourier type

Bahloul Rachid
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Abstract

The aim of this work is to study the existence of a periodic solutions of integro-differential equations d dt [x(t)-- L(x t)] = A[x(t)-- L(x t)]+ G(x t)+ t --$\infty$ a(t-- s)x(s)ds+ f (t), (0 $\le$ t $\le$ 2$\pi$) with the periodic condition x(0) = x(2$\pi$), where a $\in$ L 1 (R +). 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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Bahloul Rachid. 2017-06-26. Periodic solutions of integro-differential equations in Banach space having Fourier type. https://arxiv.org/abs/1708.05608

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