Measure theory and pseudo almost automorphic functions: New developments and applications |
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| Authors: | Joël Blot |
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| Institution: | a Université Paris 1 Panthéon-Sorbonne, Laboratoire SAMM EA 4543, 75013 Paris, Franceb Université Versailles-Saint-Quentin-en-Yvelines, Laboratoire de Mathématiques de Versailles, UMR-CNRS 8100, 78035 Versailles cedex, Francec Université Cadi Ayyad, Faculté des Sciences Semlalia, Département de Mathématiques, B.P.2390, Marrakech, Morocco |
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| Abstract: | In this work, we establish a new concept of weighted pseudo almost automorphic functions using the measure theory. We present new results on weighted ergodic functions like completeness and composition theorems. The theory of this work generalizes the classical results on weighted pseudo almost periodic and automorphic functions. For illustration, we provide some applications for evolution equations which include reaction-diffusion systems and partial functional differential equations. |
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| Keywords: | 34C27 34K14 34K30 35B15 35K55 35K57 43A60 44A35 47D06 |
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