Almost periodic processes and the existence of almost periodic solutions

Y. Hino, Chiba University, Chiba, Japan
S. Murakami, Okayama University of Science, Okayama, Japan

E. J. Qualitative Theory of Diff. Equ., No. 3. (1998), pp. 1-19.

Abstract: Some property which is equivalent to the concept of an asymptotically almost periodic integral for almost periodic processes is introduced. By using this property, it is shown that a precompact integral of almost periodic processes which is uniformly asymptotically stable is an asymptotically almost periodic integral. Results are applied to the existence of almost periodic solutions of some evolution equation.

You can download the full text of this paper in DVI, PostScript or PDF format, or have a look at the Zentralblatt or the Mathematical Reviews entry of this paper.