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Pré-Publication, Document De Travail Année : 2017

R-boundedness Approach to linear third differential equations in a UMD Space

Bahloul Rachid

Résumé

The aim of this work is to study the existence of a periodic solutions of third order differential equations z ′′′ (t) = Az(t) + f (t) with the periodic condition x(0) = x(2π), x ′ (0) = x ′ (2π) and x ′′ (0) = x ′′ (2π). Our approach is based on the R-boundedness and L p-multiplier of linear operators.
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Dates et versions

hal-01547610 , version 1 (27-06-2017)

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  • HAL Id : hal-01547610 , version 1
  • PUBMED : 498348

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Bahloul Rachid. R-boundedness Approach to linear third differential equations in a UMD Space. 2017. ⟨hal-01547610⟩
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