@Article{Diagana2012,
author = "Diagana, Toka and Nelson, Valerie and N'Guérékata, Gaston M.",
title = "Stepanov-like C<sup>(n)</sup>-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "3",
pages = "455--471",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.3.455",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.3.455",
abstract = "In this paper we introduce and study a new concept called Stepanov-like \(C^{(n)}\)-pseudo almost automorphy, which generalizes in a natural fashion both the notions of \(C^{(n)}\)-pseudo almost periodicity and that of \(C^{(n)}\)-pseudo almost automorphy recently introduced in the literature by the authors. Basic properties of these new functions are investigated. Furthermore, we study and obtain the existence of \(C^{(N+m)}\)-pseudo almost automorphic solutions to some nonautonomous higher-order systems of differential equations with Stepanov-like \(C^{(m)}\)-pseudo almost automorphic coefficients.",
keywords = "pseudo almost automorphic \(C^{(n)}\)-pseudo almost automorphy, Stepanov-like \(C^{(n)}\)-pseudo almost automorphy, exponential dichotomy",
issn = "1232-9274"
}