Open AccessTHE <i>C</i><sup>1</sup> SOLUTION OF THE HIGH DIMENSIONAL FEIGENBAUM-LIKE FUNCTIONAL EQUATION
Author(s) -
Ying Liang,
Xiaopei Li,
Yuzhen Mi
Publication year - 2011
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2011035
Subject(s) - uniqueness , mathematics , fixed point theorem , operator (biology) , mathematical analysis , mathematical physics , chemistry , biochemistry , repressor , transcription factor , gene
By constructing a structure operator quite different from before, and using the Schauder's fixed point theory, the existence and uniqueness of the \(C^1\) solutions of the high dimensional Feigenbaum-like functional equations are discussed.
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