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 equat
Decomposition of weighted pseudo-almost periodic functions
β Scribed by Jin Liang; Ti-Jun Xiao; Jun Zhang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 241 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Under the assumption of uniformly continuity, we establish a composition theorem of pseudo almost-periodic functions in general Banach spaces. As an application, we give some existence theorems of pseudo almost-periodic solutions and mild pseudo almost-periodic solutions for some differential equati
In a recent paper by Liang et al. (2010) [1], the original question which is that of the existence of a weighted mean for almost periodic functions was raised. In particular, they showed through an example that there exist weights for which a weighted mean for almost periodic functions may or may no