渐近周期的Logistic方程

Asymptotically Periodic Logistic Function

主要研究了渐近周期的Logistic方程,得到了渐近周期解的存在唯一性,全局吸 引性;进一步得到渐近周期函数对加减乘除,导数,微分,复合函数运算的封闭性;渐近周期函 数空间是Banach空间,并得到高维系统下的渐近周期函数空间是Banach空间．

In this paper, asymptotically periodic Logistic function is considered. We obtain the properties of existence, uniqueness and global attraction of asymptotically periodic solution; furthermore, asymptotically periodic Logistic function is closed about addtion, subtraction, multiplication, division, derivative, differential, multiplex function; Asymptotically periodic Logistic function space is Banach space, and it is true for high-dimension system.