Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1}
We study global behavior of the following max-type difference equation xn+1=max{1/xn,An/xn−1}, n=0,1,…, where {An}n=0∞ is a sequence of positive real numbers with 0≤infAn≤supAn<1. The special case when {An}n=0∞ is a periodic sequence with period k and An∈(0,1) for every n≥0 has been completely...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/152964 |
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| _version_ | 1832549424294789120 |
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| author | Taixiang Sun Bin Qin Hongjian Xi Caihong Han |
| author_facet | Taixiang Sun Bin Qin Hongjian Xi Caihong Han |
| author_sort | Taixiang Sun |
| collection | DOAJ |
| description | We study global behavior of the following max-type difference equation xn+1=max{1/xn,An/xn−1}, n=0,1,…, where {An}n=0∞ is a sequence of positive real numbers with 0≤infAn≤supAn<1. The special case when {An}n=0∞ is a periodic sequence with period k and An∈(0,1) for every n≥0 has been completely investigated by Y. Chen. Here we extend his results to the general case. |
| format | Article |
| id | doaj-art-1db34f25066348ca9e7031001a5d21eb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1db34f25066348ca9e7031001a5d21eb2025-02-03T06:11:13ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/152964152964Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1}Taixiang Sun0Bin Qin1Hongjian Xi2Caihong Han3College of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaDepartment of Mathematics, Guangxi College of Finance and Economics, Nanning 530003, ChinaDepartment of Mathematics, Guangxi College of Finance and Economics, Nanning 530003, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning 530004, ChinaWe study global behavior of the following max-type difference equation xn+1=max{1/xn,An/xn−1}, n=0,1,…, where {An}n=0∞ is a sequence of positive real numbers with 0≤infAn≤supAn<1. The special case when {An}n=0∞ is a periodic sequence with period k and An∈(0,1) for every n≥0 has been completely investigated by Y. Chen. Here we extend his results to the general case.http://dx.doi.org/10.1155/2009/152964 |
| spellingShingle | Taixiang Sun Bin Qin Hongjian Xi Caihong Han Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1} Abstract and Applied Analysis |
| title | Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1} |
| title_full | Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1} |
| title_fullStr | Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1} |
| title_full_unstemmed | Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1} |
| title_short | Global Behavior of the Max-Type Difference Equation xn+1=max{1/xn,An/xn−1} |
| title_sort | global behavior of the max type difference equation xn 1 max 1 xn an xn 1 |
| url | http://dx.doi.org/10.1155/2009/152964 |
| work_keys_str_mv | AT taixiangsun globalbehaviorofthemaxtypedifferenceequationxn1max1xnanxn1 AT binqin globalbehaviorofthemaxtypedifferenceequationxn1max1xnanxn1 AT hongjianxi globalbehaviorofthemaxtypedifferenceequationxn1max1xnanxn1 AT caihonghan globalbehaviorofthemaxtypedifferenceequationxn1max1xnanxn1 |