Non-monotonic solutions and continuously differentiable solutions of conjugacy equations

被引：12
|
作者：
Shi, Yong-Guo [1 ,2 ,3 ]
机构：
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Neijiang Normal Univ, Key Lab Numer Simulat Sichuan Prov, Neijang 641112, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 07期
关键词：
Functional equation; Conjugacy equation; Non-monotonic solution; Continuously differentiable solution; ITERATIVE ROOTS;
D O I：
10.1016/j.amc.2009.08.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper solutions of conjugacy equation phi(f(x)) = g(phi(x)) for a strictly decreasing continuous given function f and a continuous given function g (maybe non-monotonic) are constructed by piecewise de. ning. We determine the conditions for piecewise continuously differentiable solutions of conjugacy equations with a strictly decreasing continuously differentiable given function f and a continuously differentiable given function g. Finally, the recursive algorithm is implemented in MATLAB software and two examples are respectively presented for a non-monotonic solution and a continuously differentiable one. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：2399 / 2404
页数：6
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