Existence and Uniqueness Fourth-order Differential Equations in Banach Space Having Fourier Type

El Maroufi Abdelouahed and Bahloul Rachid

Journal of Mathematics Research, 2018, vol. 10, issue 4, 151-155

Abstract: The aim of this work is to study the existence of a periodic solutions of differential equations $\frac{d^{4} }{ dt^{4} }x(t) = Ax(t) + f(t)$. Our approach is based on the M-boundedness of linear operators, Fourier type, $B^{s}_{p, q}$-multipliers and Besov spaces.

Keywords: integro-differential equations; Fourier type; $B^{s}_{p; q}$-multipliers (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:10:y:2018:i:4:p:151

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