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
Weiyao Zeng1
, Jinlin Shi2
, Zhensheng Lin3
and Lokenath Debnath4
1Department of Mathematics, Changsha Railway University, Hunan, Changsha 410075, China
2Department of Mathematics, Fuzhou University, Fujian, Fuzhou 350002, China
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].