![](/images/graphics-bg.png)
Non-Single-Valley Solutions for p -Order Feigenbaum’s Type Functional Equation f ( φ ( x ) ) = φ p ( f ( x ) )
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This work deals with Feigenbaum’s functional equation f ( φ ( x ) ) = φ p ( f ( x ) ) , φ ( 0 ) = 1 , 0 ≤ φ ( x ) ≤ 1 , x ∈ [ 0 , 1 ] , where p ≥ 2 is an integer, φ p is the p -fold iteration of φ , and f ( x ) is a strictly increasing continuous function on [ 0 , 1 ] that satisfies f ( 0 ) = 0 , f ( x ) < x , ( x ∈ ( 0 , 1 ] ) .
Using a constructive method, we discuss the existence of non-single-valley continuous solutions of the above equation.
American Psychological Association (APA)
Zhang, Min. 2014. Non-Single-Valley Solutions for p -Order Feigenbaum’s Type Functional Equation f ( φ ( x ) ) = φ p ( f ( x ) ). Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014674
Modern Language Association (MLA)
Zhang, Min. Non-Single-Valley Solutions for p -Order Feigenbaum’s Type Functional Equation f ( φ ( x ) ) = φ p ( f ( x ) ). Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014674
American Medical Association (AMA)
Zhang, Min. Non-Single-Valley Solutions for p -Order Feigenbaum’s Type Functional Equation f ( φ ( x ) ) = φ p ( f ( x ) ). Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014674
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014674