【摘要】 本文首先把Melnikov方法推广到一般的非自治系统，然后利用所得到的结果讨论了含小参数的非自治系统在R上存在指数二分性的条件．我们的结果推广了S.Wiggins[1]和K．J．Palmer[2][5]中的一些已知结果．更多还原

【Abstract】 Melinkov method,in this paper, is extended to nonautonomous differential equations. Then, using Melnikov method extended here, we study the theory of exponential dichotomies of linear systems depending on small parameters. Results of this paper generalize and improve some known important results in Wigging [1]and Palmer[2][5].更多还原