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
• DOI: 10.1016/j.na.2009.06.077

✦ 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.