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....
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Format: | Article |
Language: | zho |
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Zhejiang University Press
2012-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
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Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2012.03.007 |