连续函数空间Cr上的无穷延滞NFDE中的T.Yoshizawa定理

T.YOSHIZAWA THEOREM OF THE INFINITE DELAY NFDE IN CONTINUOUS FUNCTION SPACE CR

本文讨论了无穷时滞中立型泛函微分方程解的正极限集和半不变集,以及解的渐近性态。文章是在Cr空间中把T.Yoshizawa的理论推广到无穷时滞的NFDE之中,证明其结果成立,使这方面的理论在泛函微分方程中得到补充与完善.

This paper discusses positive limit set and semi-invariant set of solutions of infinite delay NFDE,and asymptotic behaviours of that T.Yoshizawa's theory is generalized to the infinite delay NFDE in Cr Space,the results are proved to be right,T.Yoshizawa's theory can be supplemented and further perfected in infinite delay NFDE.