The Fixed Points of Solutions of Some q-Difference Equations

The purpose of this paper is to investigate the fixed points of solutions f(z) of some q-difference equations and obtain some results about the exponents of convergence of fixed points of f(z) and f(qjz)  (j∈N+), q-differences Δqf(z)=f(qz)-f(z), and q-divided differences Δqf(z)/f(z).

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Main Authors: Xiu-Min Zheng, Hong-Yan Xu, Jun-Feng Xu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/262570
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author Xiu-Min Zheng
Hong-Yan Xu
Jun-Feng Xu
author_facet Xiu-Min Zheng
Hong-Yan Xu
Jun-Feng Xu
author_sort Xiu-Min Zheng
collection DOAJ
description The purpose of this paper is to investigate the fixed points of solutions f(z) of some q-difference equations and obtain some results about the exponents of convergence of fixed points of f(z) and f(qjz)  (j∈N+), q-differences Δqf(z)=f(qz)-f(z), and q-divided differences Δqf(z)/f(z).
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publishDate 2014-01-01
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spelling doaj-art-2fc431df30f74e52a022f2acf0db3c0d2025-08-20T03:20:22ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/262570262570The Fixed Points of Solutions of Some q-Difference EquationsXiu-Min Zheng0Hong-Yan Xu1Jun-Feng Xu2Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, ChinaDepartment of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, ChinaDepartment of Mathematics, Wuyi University, Jiangmen, Guangdong 529020, ChinaThe purpose of this paper is to investigate the fixed points of solutions f(z) of some q-difference equations and obtain some results about the exponents of convergence of fixed points of f(z) and f(qjz)  (j∈N+), q-differences Δqf(z)=f(qz)-f(z), and q-divided differences Δqf(z)/f(z).http://dx.doi.org/10.1155/2014/262570
spellingShingle Xiu-Min Zheng
Hong-Yan Xu
Jun-Feng Xu
The Fixed Points of Solutions of Some q-Difference Equations
Abstract and Applied Analysis
title The Fixed Points of Solutions of Some q-Difference Equations
title_full The Fixed Points of Solutions of Some q-Difference Equations
title_fullStr The Fixed Points of Solutions of Some q-Difference Equations
title_full_unstemmed The Fixed Points of Solutions of Some q-Difference Equations
title_short The Fixed Points of Solutions of Some q-Difference Equations
title_sort fixed points of solutions of some q difference equations
url http://dx.doi.org/10.1155/2014/262570
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