2012
DOI: 10.7494/opmath.2012.32.3.455
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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 w… Show more

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Cited by 7 publications
(1 citation statement)
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“…We refer the reader to the paper [41] by Diagana et al for more details about the notion of S (n) p -almost periodicity (the notion of N -almost periodicity is very well explored in the monograph [15] by Levitan and Zhikov. Stepanov cases have not been introduced so far, to the best knowledge of the authors).…”
Section: Example 46 Definementioning
confidence: 99%
“…We refer the reader to the paper [41] by Diagana et al for more details about the notion of S (n) p -almost periodicity (the notion of N -almost periodicity is very well explored in the monograph [15] by Levitan and Zhikov. Stepanov cases have not been introduced so far, to the best knowledge of the authors).…”
Section: Example 46 Definementioning
confidence: 99%