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arXiv · 1805.00694

Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients

Fazia Bedouhene·Youcef Ibaouene·Omar Mellah·Paul Raynaud de Fitte
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Abstract

In this work, we study the existence and uniqueness of bounded Weyl almost periodic solution to the abstract differential equation u ' (t) = Au(t) + f (t), t $\in$ R, in a Banach space X, where A : D (A) $\subset$ X $\rightarrow$ X is a linear operator (unbounded) which generates an exponentially stable C 0-semigroup on X and f : R $\rightarrow$ X is a Weyl almost periodic function. We also investigate the nonautonomous case.

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Fazia Bedouhene, Youcef Ibaouene, Omar Mellah, Paul Raynaud de Fitte. 2018-05-02. Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients. https://doi.org/10.1002/mma.5312

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