On the Global Attractivity of a Max-Type Difference Equation
We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation 𝑥𝑛=max{𝐴/𝑥𝑛−1,1/𝑥𝛼𝑛−3},𝑛=0,1,…, where 𝐴>0 and 0<𝛼<1. We prove that every positive solution of this difference equation approaches 𝑥=1 or is eventually periodic with period 2....
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/812674 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850230589537386496 |
|---|---|
| author | Ali Gelişken Cengiz Çinar |
| author_facet | Ali Gelişken Cengiz Çinar |
| author_sort | Ali Gelişken |
| collection | DOAJ |
| description | We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation 𝑥𝑛=max{𝐴/𝑥𝑛−1,1/𝑥𝛼𝑛−3},𝑛=0,1,…, where 𝐴>0 and 0<𝛼<1. We prove that every positive solution of this difference equation approaches 𝑥=1 or is eventually periodic with period 2. |
| format | Article |
| id | doaj-art-1e8aba42977247a88ecc2d8bac39ac6d |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1e8aba42977247a88ecc2d8bac39ac6d2025-08-20T02:03:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/812674812674On the Global Attractivity of a Max-Type Difference EquationAli Gelişken0Cengiz Çinar1Mathematics Department, Faculty of Education, Selcuk University, 42090 Konya, TurkeyMathematics Department, Faculty of Education, Selcuk University, 42090 Konya, TurkeyWe investigate asymptotic behavior and periodic nature of positive solutions of the difference equation 𝑥𝑛=max{𝐴/𝑥𝑛−1,1/𝑥𝛼𝑛−3},𝑛=0,1,…, where 𝐴>0 and 0<𝛼<1. We prove that every positive solution of this difference equation approaches 𝑥=1 or is eventually periodic with period 2.http://dx.doi.org/10.1155/2009/812674 |
| spellingShingle | Ali Gelişken Cengiz Çinar On the Global Attractivity of a Max-Type Difference Equation Discrete Dynamics in Nature and Society |
| title | On the Global Attractivity of a Max-Type Difference Equation |
| title_full | On the Global Attractivity of a Max-Type Difference Equation |
| title_fullStr | On the Global Attractivity of a Max-Type Difference Equation |
| title_full_unstemmed | On the Global Attractivity of a Max-Type Difference Equation |
| title_short | On the Global Attractivity of a Max-Type Difference Equation |
| title_sort | on the global attractivity of a max type difference equation |
| url | http://dx.doi.org/10.1155/2009/812674 |
| work_keys_str_mv | AT aligelisken ontheglobalattractivityofamaxtypedifferenceequation AT cengizcinar ontheglobalattractivityofamaxtypedifferenceequation |