Abstract
Most known results on global solutions for leading coefficient problem of polynomial-like iterative equations depend on the local linearity of the known functions. In this paper, global C 0 solutions without this assumption is considered. By virtue of Schröder transformation, we give a general construction of infinitely many increasing C 0 solutions for a general form of iterative equation.
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This work is supported by the National Science Foundation of China (11101105,11301226), Zhejiang Provincial Natural Science Foundation of China under Grant No. LQ13A010017.
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Li, L., Song, W. Global Solutions for Leading Coefficient Problem of a General Iterative Equation. Results. Math. 68, 247–260 (2015). https://doi.org/10.1007/s00025-014-0432-0
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DOI: https://doi.org/10.1007/s00025-014-0432-0