Global Behavior of a Higher-Order Difference Equation
This paper is concerned with the global behavior of higher-order difference equation of the form 𝑦𝑛+1=(𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖)))/(1−𝑦𝑛+𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖))), 𝑛=0,1,2…, 𝑦−𝑘,𝑦−𝑘+1,…,𝑦0∈(0,1). Under some certain assumptions, it is proved that the positive equilibrium is globally asymptotical stable...
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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/10.1155/2010/834020 |
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| _version_ | 1832557077231304704 |
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| author | Tuo Li Xiu-Mei Jia |
| author_facet | Tuo Li Xiu-Mei Jia |
| author_sort | Tuo Li |
| collection | DOAJ |
| description | This paper is concerned with the global behavior of higher-order difference equation of the form 𝑦𝑛+1=(𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖)))/(1−𝑦𝑛+𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖))), 𝑛=0,1,2…, 𝑦−𝑘,𝑦−𝑘+1,…,𝑦0∈(0,1). Under some certain assumptions, it is proved that the positive equilibrium is globally asymptotical stable. |
| format | Article |
| id | doaj-art-1fbd0cc46b4f4761b34c23c589936c6c |
| 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-1fbd0cc46b4f4761b34c23c589936c6c2025-02-03T05:43:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/834020834020Global Behavior of a Higher-Order Difference EquationTuo Li0Xiu-Mei Jia1Department of Mathematics, Hexi University, Zhangye, Gansu 734000, ChinaDepartment of Mathematics, Hexi University, Zhangye, Gansu 734000, ChinaThis paper is concerned with the global behavior of higher-order difference equation of the form 𝑦𝑛+1=(𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖)))/(1−𝑦𝑛+𝑦𝑛∑exp(𝛽(1−2𝑘𝑖=0𝑎𝑖𝑦𝑛−𝑖))), 𝑛=0,1,2…, 𝑦−𝑘,𝑦−𝑘+1,…,𝑦0∈(0,1). Under some certain assumptions, it is proved that the positive equilibrium is globally asymptotical stable.http://dx.doi.org/10.1155/2010/834020 |
| spellingShingle | Tuo Li Xiu-Mei Jia Global Behavior of a Higher-Order Difference Equation Discrete Dynamics in Nature and Society |
| title | Global Behavior of a Higher-Order Difference Equation |
| title_full | Global Behavior of a Higher-Order Difference Equation |
| title_fullStr | Global Behavior of a Higher-Order Difference Equation |
| title_full_unstemmed | Global Behavior of a Higher-Order Difference Equation |
| title_short | Global Behavior of a Higher-Order Difference Equation |
| title_sort | global behavior of a higher order difference equation |
| url | http://dx.doi.org/10.1155/2010/834020 |
| work_keys_str_mv | AT tuoli globalbehaviorofahigherorderdifferenceequation AT xiumeijia globalbehaviorofahigherorderdifferenceequation |