𝐶⁽ⁿ⁾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations

Ezzinbi, Khalil; Nelson, Valerie; N’Gu´er´ekata, Gaston

Ezzinbi, Khalil ; Nelson, Valerie ; N’Gu´er´ekata, Gaston

CUBO, A Mathematical Journal, Tome 10 (2008), / Harvested from Cubo, A Mathematical Journal

Résumé

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.

Publié le : 2008-07-01

@article{1516,
     title = {C(n)-Almost Automorphic Solutions of Some Nonautonomous Differential Equations},
     journal = {CUBO, A Mathematical Journal},
     volume = {10},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1516}
}

Ezzinbi, Khalil; Nelson, Valerie; N’Gu´er´ekata, Gaston. 𝐶⁽ⁿ⁾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1516/