International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 4, Pages 727-735
doi:10.1155/S0161171297000999

Almost periodic solutions for Abel equations

Zeng Weiyao,1 Shi Jinlin,2 Lin Zhensheng_and Lokenath Debnath3

 1Department of Mathematics, Changsha Railway University, Hunan, Changsha 410075, China
2Department of Mathematics, Fuzhou University, Fujian, Fuzhou 350002, China
3Department of Mathematics, University of Central Florida, Orlando 32816, FL, USA
Received 11 January 1994; Revised 15 April 1997

Abstract

Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic solutions of Abel differential equations We obtain several interesting results which improve the results due to Chongyou [1] and Dongpin [2].