International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 10, Pages 609-619
Ergodic type solutions of differential equations with piecewise constant arguments
1Departamento de Matemática Aplicada a la Ingeniería, Paseo del Cauce s/n. 47011, Universidad de Valladolid, Spain
2Institute of Computational Mathematics and Scientiﬁc/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China
Received 27 November 2000
Copyright © 2001 Ana Isabel Alonso and Jialin Hong. 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.
We summarize the conditions discovered for the existence of new
ergodic type solutions (asymptotically almost periodic, pseudo
almost periodic, ) of differential equations with
piecewise constant arguments. Their existence is characterized by
introducing a new tool, the ergodic sequences.