Locally Expansive Solutions for a Class of Iterative Equations

Iterative equations which can be expressed by the following form fnx=Hx,fx,f2x,…,fn−1x, where n≥2, are investigated. Conditions for the existence of locally expansive C1 solutions for such equations are given.

Bibliographic Details
Main Authors: Wei Song, Sheng Chen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/372681
Description
Summary:Iterative equations which can be expressed by the following form fnx=Hx,fx,f2x,…,fn−1x, where n≥2, are investigated. Conditions for the existence of locally expansive C1 solutions for such equations are given.
ISSN:1537-744X