THE <i>C</i><sup>1</sup> SOLUTION OF THE HIGH DIMENSIONAL FEIGENBAUM-LIKE FUNCTIONAL EQUATION

Ying Liang; XiaoPei Li; YuZhen Mi

doi:10.11948/2011035

2011 Volume 1 Issue 4

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Ying Liang, XiaoPei Li, YuZhen Mi. THE C1 SOLUTION OF THE HIGH DIMENSIONAL FEIGENBAUM-LIKE FUNCTIONAL EQUATION[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 517-522. doi: 10.11948/2011035

Citation:

Ying Liang, XiaoPei Li, YuZhen Mi. THE C¹ SOLUTION OF THE HIGH DIMENSIONAL FEIGENBAUM-LIKE FUNCTIONAL EQUATION[J]. Journal of Applied Analysis & Computation, 2011, 1(4): 517-522. doi: 10.11948/2011035

THE C¹ SOLUTION OF THE HIGH DIMENSIONAL FEIGENBAUM-LIKE FUNCTIONAL EQUATION

Mathematics and Computational School, Zhanjiang Normal University, Zhanjiang, Guangdong, 524048, China

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Abstract

Abstract

By constructing a structure operator quite different from before, and using the Schauder's fixed point theory, the existence and uniqueness of the C¹ solutions of the high dimensional Feigenbaum-like functional equations are discussed.
- Feigenbaum-like functional equations /
- Schauder's fixed point /
- existence /
- uniqueness
MSC: 35D;35C

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References

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