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C n -almost automorphic solutions for partial neutral functional differential equations |
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| Authors: | Khalil Ezzinbi Samir Fatajou |
| Institution: | Faculté des Sciences Semlalia, Département de Mathématiques , Université Cadi Ayyad , B.P. 2390 Marrakech, Morocco |
| Abstract: | In this work, we study the existence of C n -almost periodic solutions and C n -almost automorphic solutions (n?≥?1), for partial neutral functional differential equations. We prove that the existence of a bounded integral solution on ?+ implies the existence of C n -almost periodic and C n -almost automorphic strict solutions. When the exponential dichotomy holds for the homogeneous linear equation, we show the uniqueness of C n -almost periodic and C n -almost automorphic strict solutions. |
| Keywords: | Partial neutral functional differential equations Integral solution Strict solution Reduction principle C n -almost periodic solution C n -almost automorphic solution Exponential dichotomy |