h有界性与R^n有界性之间的等价关系

THE EQUIVALENCES BETWEEN h—BOUNDEDNESS AND R^n—BOUNDEDNESS

本文给出了 h 有界性及 R^n 有界性的定义。系统地讨论了具无限时滞的泛函微分方程解的 h 有界性及 R^n 有界的等价关系。

In This paper,we made a systematic study on the equivalen- ces between h-boundedness and R^n-boundedness of solutions of functional differential equations with inifite delay,gave the definitions of h-boundednees and R^n-boundedness and proved that h-boundedness is equivalent to R^n-boundedness.