On some almost-periodicity problems in various metrics

Authors
Andres, J Bersani, AM Lesniak, K
Citation
J. Andres et al., On some almost-periodicity problems in various metrics, ACT APPL MA, 65(1-3), 2001, pp. 35-57
Citations number
33
Categorie Soggetti
Mathematics
Journal title
ACTA APPLICANDAE MATHEMATICAE
ISSN journal
01678019 → ACNP
Volume
65
Issue
1-3
Year of publication
2001
Pages
35 - 57
Database
ISI
SICI code
0167-8019(200101)65:1-3<35:OSAPIV>2.0.ZU;2-D
Abstract
The Bohr-type and the Bochner-type definitions for almost periodic function s are examined in various metrics (Stepanov, Weyl and Besicovitch). The cor rect definitions of Besicovitch-like multifunctions are given. Weak almost- periodic solutions are proved for differential equations and inclusions. Th is problem is also discussed as a fixed-point problem in function spaces.