Non-Single-Valley Solutions for p-Order Feigenbaum’s Type Functional Equation f(φ(x))=φp(f(x))
This work deals with Feigenbaum’s functional equation f(φ(x))=φp(f(x)), φ(0)=1, 0≤φ(x)≤1, x∈ [0, 1], where p≥2 is an integer, φp 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...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/731863 |
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