Continuous solutions of 3rd-order iterative equation of linear dependence

被引：0
作者：
Pingping Zhang
Xiaobing Gong
机构：
[1] Binzhou University,Department of Mathematics
[2] Neijiang Normal University,Department of Mathematics
来源：
Advances in Difference Equations | / 2014卷
关键词：
functional equation; iteration; characteristic root; continuous solution;
D O I：
暂无
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学科分类号：
摘要：
We study continuous solutions of the 3rd-order iterative equation of the linear dependence for hyperbolic cases and generalize the results to the n th-order polynomial-like iterative equation, in some cases recursively. This paper partly answers the question raised in Remark 7 in (Yang and Zhang in Aequ. Math. 67:80-105, 2004) and the open problem raised by Matkowski in (Aequ. Math. 37:119, 1989) in the 26th international symposium on functional equations.
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