Locally Expansive Solutions for a Class of Iterative Equations

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
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spelling doaj-32b739acebc741aa8fea8b7e130a4ead2020-11-24T21:32:32ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/372681372681Locally Expansive Solutions for a Class of Iterative EquationsWei Song0Sheng Chen1Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaIterative 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.http://dx.doi.org/10.1155/2013/372681
collection DOAJ
language English
format Article
sources DOAJ
author Wei Song
Sheng Chen
spellingShingle Wei Song
Sheng Chen
Locally Expansive Solutions for a Class of Iterative Equations
The Scientific World Journal
author_facet Wei Song
Sheng Chen
author_sort Wei Song
title Locally Expansive Solutions for a Class of Iterative Equations
title_short Locally Expansive Solutions for a Class of Iterative Equations
title_full Locally Expansive Solutions for a Class of Iterative Equations
title_fullStr Locally Expansive Solutions for a Class of Iterative Equations
title_full_unstemmed Locally Expansive Solutions for a Class of Iterative Equations
title_sort locally expansive solutions for a class of iterative equations
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/372681
work_keys_str_mv AT weisong locallyexpansivesolutionsforaclassofiterativeequations
AT shengchen locallyexpansivesolutionsforaclassofiterativeequations
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