Behavior of bounded solutions for some almost periodic neutral partial functional differential equations

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 parti...

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Veröffentlicht in:Mathematical methods in the applied sciences 2017-05, Vol.40 (7), p.2377-2397
Hauptverfasser: Ait Dads, El Hadi, Es‐sebbar, Brahim, Ezzinbi, Khalil, Ziat, Mohamed
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Sprache:eng
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Zusammenfassung: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 R are almost periodic. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4145