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


  •  Bahloul Rachid    
  •  El Maroufi Abdelouahed    

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.


This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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