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Locally Expansive Solutions for a Class of Iterative Equations

Iterative equations which can be expressed by the following form f (n)(x) = H(x, f(x), f (2)(x),…, f (n−1)(x)), where n ≥ 2, are investigated. Conditions for the existence of locally expansive C (1) solutions for such equations are given.

Detalles Bibliográficos
Autores principales: Song, Wei, Chen, Sheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3836456/
https://www.ncbi.nlm.nih.gov/pubmed/24319362
http://dx.doi.org/10.1155/2013/372681
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author Song, Wei
Chen, Sheng
author_facet Song, Wei
Chen, Sheng
author_sort Song, Wei
collection PubMed
description Iterative equations which can be expressed by the following form f (n)(x) = H(x, f(x), f (2)(x),…, f (n−1)(x)), where n ≥ 2, are investigated. Conditions for the existence of locally expansive C (1) solutions for such equations are given.
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spelling pubmed-38364562013-12-08 Locally Expansive Solutions for a Class of Iterative Equations Song, Wei Chen, Sheng ScientificWorldJournal Research Article Iterative equations which can be expressed by the following form f (n)(x) = H(x, f(x), f (2)(x),…, f (n−1)(x)), where n ≥ 2, are investigated. Conditions for the existence of locally expansive C (1) solutions for such equations are given. Hindawi Publishing Corporation 2013-11-05 /pmc/articles/PMC3836456/ /pubmed/24319362 http://dx.doi.org/10.1155/2013/372681 Text en Copyright © 2013 W. Song and S. Chen. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Song, Wei
Chen, Sheng
Locally Expansive Solutions for a Class of Iterative Equations
title 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_short Locally Expansive Solutions for a Class of Iterative Equations
title_sort locally expansive solutions for a class of iterative equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3836456/
https://www.ncbi.nlm.nih.gov/pubmed/24319362
http://dx.doi.org/10.1155/2013/372681
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