TY  - JOUR
ID  - Diagana2012
LB  - Diagana2012
AU  - Diagana, Toka
AU  - Nelson, Valerie
AU  - N'Guérékata, Gaston M.
TI  - Stepanov-like C<sup>(n)</sup>-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations
ST  - Stepanov-like C<sup>(n)</sup>-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 3
SP  - 455
EP  - 471
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.3.455
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.3.455
AB  - 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.
KW  - pseudo almost automorphic \(C^{(n)}\)-pseudo almost automorphy
KW  - Stepanov-like \(C^{(n)}\)-pseudo almost automorphy
KW  - exponential dichotomy
SN  - 1232-9274
ER  -