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| HAL : hal-00664739, version 1 |
| DOI : 10.1016/j.na.2011.10.041 |
| Fiche détaillée |  Récupérer au format |
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| Nonlinear Analysis: Theory, Methods and Applications 75 (2012) 2426-2447 |
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| Measure theory and pseudo almost periodic automorphic functions: new developments and applications |
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| Joël Blot 1Philippe Cieutat 2 |
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| (2012) |
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| In this work, we establish a new concept of weighted almost automorphic function using the measure theory. We present new results on weighted ergodic functions like completeness and composition theorems. The theory of this work generalizes the clasical results on weighted 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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| 1 : | Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM) |
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Université Paris I - Panthéon-Sorbonne |
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| 2 : | Laboratoire de Mathématiques de Versailles (LM-Versailles) |
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CNRS : UMR8100 – Université de Versailles Saint-Quentin-en-Yvelines |
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| 3 : | Département de mathématiques [FSSM] |
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Faculté des Sciences Semlalia Marrakech |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| measure theory – ergocity – mu-pseudo almost automorphic function – completeness – composition theorem – evolution equation – reaction-diffusion system – partial functional differential equation |
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| hal-00664739, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00664739 | |
| oai:hal.archives-ouvertes.fr:hal-00664739 | |
| Contributeur : Joël Blot | |
| Soumis le : Mardi 31 Janvier 2012, 14:01:23 | |
| Dernière modification le : Mardi 31 Janvier 2012, 14:01:23 | |
