Existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays

By using the continuation theorem due to Mawhin and Gaines, some analysis techniques and the Lyapunov functional method, the sufficient conditions ensuring the existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays are established. The results are interesting and very different from previously known results Xia and Wong, 2009 7]; Tan and Tan, 2009 19]; Huang et al., 2005 20]; Liu and Huang, 2006 22]]. Finally, applications and an example are given to illustrate the effectiveness of the results.