International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 12, Pages 787-801
Ergodicity and asymptotically almost periodic solutions of some differential equations
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 20 December 1999
Copyright © 2001 Chuanyi Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Using ergodicity of functions, we prove the existence and uniqueness of (asymptotically) almost periodic solution
for some nonlinear differential equations. As a consequence, we generalize a Massera’s result. A counterexample is given to show
that the ergodic condition cannot be dropped.