On some classes of almost periodic functions in abstract spaces. (28th November 2004)

• Record Type: Journal Article
• Authors: Bugajewski, Dariusz; N'Guérékata, Gaston M.
• Is Part Of: International journal of mathematics and mathematical sciences. Number 61(2004)
• Page Start: 3237
• Page End: 3247
• Publication Date: 2004-11-28
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S016117120440653X
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : We deal withC ( n ) -almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under consideration. Some applications to ordinary as well as partial differential equations are presented. Moreover, we introduce the class of the so-called asymptoticallyC ( n ) -almost periodic functions and give some of their properties.