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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2018

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

Résumé

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 ∈ R, in a Banach space X, where A : D (A) ⊂ X → X is a linear operator (unbounded) which generates an exponentially stable C 0-semigroup on X and f : R → X is a Weyl almost periodic function. We also investigate the nonautonomous case.
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Dates et versions

hal-01780941 , version 1 (28-04-2018)

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Fazia Bedouhene, Youcef Ibaouene, Omar Mellah, Paul Raynaud de Fitte. Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients. Mathematical Methods in the Applied Sciences, 2018, 41 (18), pp.9546-9566. ⟨hal-01780941⟩
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