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Stability of Iterative Roots
ZHANG Weinian * #
Department of Mathematics, Sichuan University, ChengDu 610064
*Correspondence author
#Submitted by
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Funding: SRFDP（No.No. 200806100002）
Opened online:11 January 2012
Accepted by: none
Citation: ZHANG Weinian.Stability of Iterative Roots[OL]. [11 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459195
 
 
Since many results on existence of continuous iterative roots were obtained, stability of iterative roots becomes an important subject in order to compute iterative roots numerically. This paper discusses on continuous stability and continuously differentiable stability of monotone iterative roots, showing results of the Hyers-Ulam stability, results of approximation which actually give continuous stability, and a comparison between local continuously differentiable stablility and global continuously differentiable unstability for iterative roots.
Keywords:dynamical system; iterative root; stability; perturbation
 
 
 

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