Affiliation:
1. LMDP Department of Mathematics, Faculty of Sciences Semlalia , Cadi Ayyad University Marrakech Morocco
2. UMMISCO UMI 209 Sorbonne university , IRD Bondy France
Abstract
Abstract
The main goal of the paper concerns two parts, in the ˝rst one, we extend some results from Blot et al [5] under general hypothesis on the measure, in the second part, we introduce a new class of functions, which we call measure pseudo 𝒮 - asymptotically omega periodic functions. The obtained results is the extension of those established recently in the literature. Then we establish many interesting results on those functions, namely their characterization, we give also several properties of those class of functions as composition results, the invariance by translation, and the convolution product. All sections are illustrated by examples or counter examples.
Subject
Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis
Reference18 articles.
1. [1] E. Ait Dads and O. Arino, Exponential dichotomy and existence of pseudo-almost periodic solutions of some differential equations, Nonlinear Anal. Theory Methods Appl. 27 (4) (1996), pp. 369–386.
2. [2] E. Ait Dads and K. Ezzinbi, Pseudo almost periodic solutions of some delay differential equations, J. Math. Anal. Appl. 201 (287) (1996), pp. 840–850.
3. [3] E. Ait Dads, K. Ezzinbi, and O. Arino, Pseudo almost periodic solutions for some differential equations in Banach space, Nonlinear Anal. Theory Methods Appl. 28 (7) (1997), pp. 1141–1155.
4. [4] H. Bohr; Zur theorie der fast periodischen funktionen I. Acta. Math. 45(1925). pp. 29-127.
5. [5] J. Blot, P. Cieutat, K. Ezzinbi, New approach for weighted pseudo almost periodic functions under the light of measure theory, basic results and applications. Appl. Anal. (2011), 1-34.
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