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Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with -weighted pseudo-almost periodic coefficients

✍ Scribed by Toka Diagana; Gisèle M. Mophou; Gaston M. N’Guérékata


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
526 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis


In this paper we introduce the concept of weighted pseudo-almost periodicity in the sense of Stepanov, also called S p -weighted pseudo-almost periodicity and study its properties. Next, we present a result on the existence of weighted pseudo-almost periodic solutions to the N-dimensional heat equation with S p -weighted pseudo-almost periodic coefficients.


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