In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
@article{bwmeta1.element.doi-10_1515_msds-2015-0002,
author = {Abdelkarim-Nidal Akdad and Khalil Ezzinbi and Lotti Souden},
title = {Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations},
journal = {Nonautonomous Dynamical Systems},
volume = {2},
year = {2015},
zbl = {1329.34105},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_msds-2015-0002}
}
Abdelkarim-Nidal Akdad; Khalil Ezzinbi; Lotti Souden. Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations. Nonautonomous Dynamical Systems, Tome 2 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_msds-2015-0002/
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