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Existence, uniqueness and attractiveness of a pseudo almost automorphic solutions for some dissipative differential equations in Banach spaces |
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| Authors: | Philippe Cieutat |
| Institution: | a Laboratoire de Mathématiques de Versailles, Université Versailles-Saint-Quentin-en-Yvelines, 45 avenue des États-Unis, 78035 Versailles cedex, France b Département de Mathématiques, Université Cadi Ayyad, Faculté des Sciences, B.P. 2390, Marrakech, Morocco |
| Abstract: | We give sufficient conditions ensuring the existence, uniqueness and global attractiveness of a pseudo compact almost automorphic solution of the following differential equation: x′(t)=f(t,x(t)) |
| Keywords: | Dissipative differential equations Pseudo compact almost automorphic solutions Attractiveness |
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