Behavior of bounded solutions for some almost periodic neutral partial functional differential equations |
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| Authors: | El Hadi Ait Dads,Brahim Es‐sebbar,Khalil Ezzinbi,Mohamed Ziat |
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| Affiliation: | Faculté des Sciences Semlalia, Département de Mathématiques, Université Cadi Ayyad, Marrakesh, Morocco |
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| Abstract: | We establish a Bochner type characterization for Stepanov almost periodic functions, and we prove a new result about the integration of almost periodic functions. This result is then used together with a reduction principle to investigate the nature of bounded solutions of some almost periodic partial neutral functional differential equations. More specifically, we prove that all bounded solutions on  are almost periodic. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | Stepanov almost periodic functions bounded solutions almost periodic solutions semigroup neutral functional differential equations |
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are almost periodic. Copyright © 2016 John Wiley & Sons, Ltd.