International Journal of Mathematics and Mathematical Sciences 
Volume 25 (2001), Issue 12, Pages 787-801
doi:10.1155/S016117120100429X

Ergodicity and asymptotically almost periodic solutions of some differential equations

Chuanyi Zhang

 Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 20 December 1999

Abstract

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.