Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations

First we show that if the doubly-weighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some non-autonomous abstract dif...

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Main Author: Toka Diagana
Format: Article
Language:English
Published: Texas State University 2011-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/28/abstr.html
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spelling doaj-37472554809c416cadb84503aa89660a2020-11-25T00:38:14ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-02-01201128,115Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equationsToka DiaganaFirst we show that if the doubly-weighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some non-autonomous abstract differential equations. http://ejde.math.txstate.edu/Volumes/2011/28/abstr.htmlWeighted pseudo-almost periodicdoubly-weighted Bohr spectrumalmost periodicdoubly-weighted pseudo-almost periodic
collection DOAJ
language English
format Article
sources DOAJ
author Toka Diagana
spellingShingle Toka Diagana
Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
Electronic Journal of Differential Equations
Weighted pseudo-almost periodic
doubly-weighted Bohr spectrum
almost periodic
doubly-weighted pseudo-almost periodic
author_facet Toka Diagana
author_sort Toka Diagana
title Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
title_short Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
title_full Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
title_fullStr Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
title_full_unstemmed Existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
title_sort existence of doubly-weighted pseudo almost periodic solutions to non-autonomous differential equations
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2011-02-01
description First we show that if the doubly-weighted Bohr spectrum of an almost periodic function exists, then it is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some non-autonomous abstract differential equations.
topic Weighted pseudo-almost periodic
doubly-weighted Bohr spectrum
almost periodic
doubly-weighted pseudo-almost periodic
url http://ejde.math.txstate.edu/Volumes/2011/28/abstr.html
work_keys_str_mv AT tokadiagana existenceofdoublyweightedpseudoalmostperiodicsolutionstononautonomousdifferentialequations
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