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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.