中立型泛函微分方程的概周期解的存在性(英文)

Existence of Almost Periodic Solutions of Neutral Functional Differential Equations

利用李雅普诺夫泛函研究中立型泛函微分方程的概周期解的存在性，其中李雅普诺夫泛函不是正定的．另外，我们指出，如果李雅普诺夫泛函是正定的，则有界解的存在性便是一种附带结果．我们这里所得结果改进了Ｊ．Ｋ．Ｈａｌｅ〔１〕、Ｔ．Ｙｏｓｈｉｚａｗａ〔２〕和Ｙ．

We investigate the existence of almost periodic solutions of functional differential equations of neutral type by Liapunov functional which is not positive definite.In addition, we show if Liapunov functional is positive definite then the existence of bounded solutions is residual.Our results obtained here improve those in J.K.Hale 1 ,T.Yoshizawa 2 and Y.Rong 3 .