Global Attractivity of a Higher-Order Difference Equation
The aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation xn+1=Axn-2r-1/(B-C∏i=lkxn-2i), n=0,1,2,… where A,B,C are positive real numbers and l,r,k are nonnegative integers, such that l≤k....
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/930410 |
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| _version_ | 1832551535669673984 |
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| author | R. Abo-Zeid |
| author_facet | R. Abo-Zeid |
| author_sort | R. Abo-Zeid |
| collection | DOAJ |
| description | The aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation xn+1=Axn-2r-1/(B-C∏i=lkxn-2i), n=0,1,2,… where A,B,C are positive real numbers and l,r,k are nonnegative integers, such that l≤k. |
| format | Article |
| id | doaj-art-5ea345d1c88f433cb997a4ad240f7065 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5ea345d1c88f433cb997a4ad240f70652025-02-03T06:01:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/930410930410Global Attractivity of a Higher-Order Difference EquationR. Abo-Zeid0Department of Mathematics, College of Science & Arts-Rabigh, King Abdulaziz University, Rabigh 21911, Saudi ArabiaThe aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation xn+1=Axn-2r-1/(B-C∏i=lkxn-2i), n=0,1,2,… where A,B,C are positive real numbers and l,r,k are nonnegative integers, such that l≤k.http://dx.doi.org/10.1155/2012/930410 |
| spellingShingle | R. Abo-Zeid Global Attractivity of a Higher-Order Difference Equation Discrete Dynamics in Nature and Society |
| title | Global Attractivity of a Higher-Order Difference Equation |
| title_full | Global Attractivity of a Higher-Order Difference Equation |
| title_fullStr | Global Attractivity of a Higher-Order Difference Equation |
| title_full_unstemmed | Global Attractivity of a Higher-Order Difference Equation |
| title_short | Global Attractivity of a Higher-Order Difference Equation |
| title_sort | global attractivity of a higher order difference equation |
| url | http://dx.doi.org/10.1155/2012/930410 |
| work_keys_str_mv | AT rabozeid globalattractivityofahigherorderdifferenceequation |