Toka Diagana, Mohamed Zitane
Abstract:
In this article we introduce and study a new class of functions
called Stepanov-like pseudo-almost automorphic functions with
variable exponents, which generalizes in a natural way classical
Stepanov-like pseudo-almost automorphic spaces. Basic properties
of these new spaces are investigated. The existence of pseudo-almost
automorphic solutions to some first-order differential equations with
-pseudo-almost automorphic
coefficients will also be studied.
Submitted May 23, 2013. Published August 28, 2013.
Math Subject Classifications: 34C27, 35B15, 46E30.
Key Words: Pseudo-almost automorphy;
-pseudo-almost automorphic;
Lebesgue space with variable exponents; variable exponents.
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Toka Diagana Department of Mathematics, Howard University 2441 6th Street NW, Washington, DC 20059, USA email: tokadiag@gmail.com |
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Mohamed Zitane Université Ibn Tofaïl, Faculté des Sciences Département de Mathématiques, Laboratoire d'An. Maths et GNC B.P. 133, Kénitra 1400, Maroc email: zitanem@gmail.com |
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