Stepanov-like C(n)-pseudo almost automorphy and applications to some nonautonomous higher-order differential equations

• Autorzy: Diagana T. , Nelson V. , N'Guerekata G. M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudo almost automorphic C(n)-pseudo almost automorphy; Stepanov-like C(n)-pseudo almost automorphy; exponential dichotomy

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 3
• Strony: 455--471
• Opis fizyczny: Bibliogr. 42 poz.

Twórcy

autor

Diagana T.

autor

Nelson V.

autor

N'Guerekata G. M.

• Howard University, Department of Mathematics, 2441 6th Street N.W. Washington, D.C. 20059, USA,

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