Asymptotic Stability for a Class of Nonlinear Difference Equations
We study the global asymptotic stability of the equilibrium point for the fractional difference equation xn+1=(axn-lxn-k)/(α+bxn-s+cxn-t), n=0,1,…, where the initial conditions x-r,x-r+1,…,x1,x0 are arbitrary positive real numbers of the interval (0,α/2a),l,k,s,t are nonnegative integers, r=max{l,...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/791610 |
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| _version_ | 1832562266380173312 |
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| author | Chang-you Wang Shu Wang Zhi-wei Wang Fei Gong Rui-fang Wang |
| author_facet | Chang-you Wang Shu Wang Zhi-wei Wang Fei Gong Rui-fang Wang |
| author_sort | Chang-you Wang |
| collection | DOAJ |
| description | We study the global asymptotic stability of the equilibrium point for the fractional difference equation xn+1=(axn-lxn-k)/(α+bxn-s+cxn-t), n=0,1,…, where the initial conditions x-r,x-r+1,…,x1,x0 are arbitrary positive real numbers of the interval (0,α/2a),l,k,s,t are nonnegative integers, r=max{l,k,s,t} and α,a,b,c are positive constants. Moreover, some numerical simulations are given to illustrate our results. |
| format | Article |
| id | doaj-art-6305db419935404d8ade83a7e191c7bd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6305db419935404d8ade83a7e191c7bd2025-02-03T01:23:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/791610791610Asymptotic Stability for a Class of Nonlinear Difference EquationsChang-you Wang0Shu Wang1Zhi-wei Wang2Fei Gong3Rui-fang Wang4College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCollege of Applied Sciences, Beijing University of Technology, Beijing 100124, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, ChinaKey Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, ChinaWe study the global asymptotic stability of the equilibrium point for the fractional difference equation xn+1=(axn-lxn-k)/(α+bxn-s+cxn-t), n=0,1,…, where the initial conditions x-r,x-r+1,…,x1,x0 are arbitrary positive real numbers of the interval (0,α/2a),l,k,s,t are nonnegative integers, r=max{l,k,s,t} and α,a,b,c are positive constants. Moreover, some numerical simulations are given to illustrate our results.http://dx.doi.org/10.1155/2010/791610 |
| spellingShingle | Chang-you Wang Shu Wang Zhi-wei Wang Fei Gong Rui-fang Wang Asymptotic Stability for a Class of Nonlinear Difference Equations Discrete Dynamics in Nature and Society |
| title | Asymptotic Stability for a Class of Nonlinear Difference Equations |
| title_full | Asymptotic Stability for a Class of Nonlinear Difference Equations |
| title_fullStr | Asymptotic Stability for a Class of Nonlinear Difference Equations |
| title_full_unstemmed | Asymptotic Stability for a Class of Nonlinear Difference Equations |
| title_short | Asymptotic Stability for a Class of Nonlinear Difference Equations |
| title_sort | asymptotic stability for a class of nonlinear difference equations |
| url | http://dx.doi.org/10.1155/2010/791610 |
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