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The continual differentiable peak-unimodal solutions of Feigenbaum's functional equations

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Abstract

For the famous Feigenbaum's equations, in this paper, we established its constructive theorem of the peak-unimodal, then we found out other paths to explore the peak-unimodal solutions. For example, we proceed on the direction to try the non-symmetrical continuous peak-unimodal solutions and C1 solutions.

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References

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Communicated by Chien Wei-zang

Projects supported by National Natural Science Foundation of China.

Partial content had been exchanged at MMM II.

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Bao-long, C. The continual differentiable peak-unimodal solutions of Feigenbaum's functional equations. Appl Math Mech 10, 419–426 (1989). https://doi.org/10.1007/BF02019231

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  • DOI: https://doi.org/10.1007/BF02019231

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