Existence of continuous solutions and stability for a general iterative functional equation

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• 作者：Jingmin Chen ; Lin Li
• 关键词：37E05 ; 39B12 ; 26A18
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：April, 2014
• 年：2014
• 卷：260
• 期：Complete
• 页码：509-518
• 全文大小：536 K

文摘

In this paper, solutions for a general form of iterative functional equation are considered when the coefficient of the first order iterate can be zero, which is called the leading coefficient problem for polynomial-like iterative equations. Moreover, the stability of those solutions is also discussed. Finally, as an application, we give an algorithm to compute the piecewise linear solutions of polynomial-like iterative equations.