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

Ait Dads El Hadi | Zendy; Essebbar Brahim | Zendy; Ezzinbi Khalil | Zendy; Ziat Mohamed | Zendy

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

Author(s) -

Ait Dads El Hadi,

Essebbar Brahim,

Ezzinbi Khalil,

Ziat Mohamed

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4145

Subject(s) - bounded function , mathematics , mathematical analysis , partial differential equation , type (biology) , differential equation , reduction (mathematics) , pure mathematics , geometry , ecology , biology

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.

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