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Advances on Non-monotonic Iterative Roots
ZHANG Weinian * #
School of Mathematics, Sichuan University, Chengdu 610064
*Correspondence author
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Funding: none
Opened online:12 January 2012
Accepted by: none
Citation: ZHANG Weinian.Advances on Non-monotonic Iterative Roots[OL]. [12 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459336
 
 
It has been treated as a difficult problem to find iterative roots of non-monotonic functions. In 1980's PM functions, a class of non-monotonic functions, were discussed by J.-Z. Zhang and L. Yang for continuous iterative roots. For those PM functions which do not increase the number of forts under iteration a method was given to obtain a non-monotonic iterative root by extending a monotone iterative root from the characteristic interval, while two open questions were raised. In 2001 another interesting question was proposed by C.-T. Ng. This paper shows some advances for these questions.
Keywords:dynamical system; iterative root; non-monotonic; characteristic interval; extension.
 
 
 

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