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

Bahloul Rachid

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arXiv · 1706.08417

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

Bahloul Rachid

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Abstract

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 $x(0) = x(2\pi), x'(0) = x'(2\pi)$ and $x''(0) = x''(2\pi)$. Our approach is based on the R-boundedness and $L^{p}$-multiplier of linear operators.

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BibTeX RIS

Bahloul Rachid. 2017-06-26. R-boundedness Approach to linear third differential equations in a UMD Space. https://arxiv.org/abs/1706.08417

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