The sensitive dependence on initial conditions and the equicontinuity under strongly uniform convergence(强一致收敛下的初值敏感性与等度连续性)

首先,举例指出了《Nonlinear Anglgsis》文中定理3. 2的条件下并不能使函数序列的初值敏感性遗传至极限函数,并证明了若函数序列的敏感常数的上极限为某一正数,则在强一致收敛下,函数序列的极限函数也具有初值敏感性.其次,证明了在强一致收敛下,序列系统的等度连续性和一致几乎周期性能被极限系统所继承....

Full description

Bibliographic Details
Main Author: WANGLiang-ping(王良平)
Format: Article
Language:zho
Published: Zhejiang University Press 2012-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2012.03.007