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  • Cubo: A Mathematical Journal
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𝐶⁽ⁿ⁾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations

Author
Ezzinbi, Khalil

Nelson, Valerie

N’Gu´er´ekata, Gaston

Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1516
Abstract
This paper is concerned with the study of properties of C(n)-almost automorphic functions and their uniform spectra. We apply the obtained results to prove Massera type theorems for the nonautonomous differential equation in ℂk: x′(t) = A(t)x(t)+f(t), t ∈ ℝ and A(t) is τ periodic and the equation x′(t) = Ax(t) + f(t), t ∈ ℝ where the operator A generates a quasi-compact semigroup in a Banach space, and in both cases f is C(n)-almost automorphic.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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