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Abstract and Applied Analysis - Volume 2014 2014, Article ID 731863, 8 pages -

Research ArticleCollege of Science, China University of Petroleum, Qingdao, Shandong 266555, China

Received 19 March 2014; Accepted 16 June 2014; Published 10 July 2014

Academic Editor: Cristina Marcelli

Copyright © 2014 Min Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work deals with Feigenbaum’s functional equation , , , , where is an integer, is the -fold iteration of , and is a strictly increasing continuous function on that satisfies , , . Using a constructive method, wediscuss the existence of non-single-valley continuous solutions of the above equation.

Autor: Min Zhang



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