stepanov-like c^{(n)}-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations
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2012
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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.
| Reference Key |
diagana2012opusculastepanov-like
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|---|---|
| Authors | ;Toka Diagana;Valerie Nelson;Gaston M. N'Guérékata |
| Journal | zhonghua yi xue za zhi |
| Year | 2012 |
| DOI |
http://dx.doi.org/10.7494/OpMath.2012.32.3.455
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