International Journal of Mathematics and Mathematical Sciences 
Volume 28 (2001), Issue 10, Pages 609-619
doi:10.1155/S0161171201006263

Ergodic type solutions of differential equations with piecewise constant arguments

Ana Isabel Alonso1 and Jialin Hong2

 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

Abstract

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.