Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers
This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three) integer solutions. Besides, its all period-fo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/827235 |
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| _version_ | 1832545872959766528 |
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| author | Li He Wanping Liu |
| author_facet | Li He Wanping Liu |
| author_sort | Li He |
| collection | DOAJ |
| description | This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three) integer solutions. Besides, its all period-four (and five) integer solutions are derived under appropriate rational parameters. |
| format | Article |
| id | doaj-art-a4107a588a804c949e9f0a38d25ba4c5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a4107a588a804c949e9f0a38d25ba4c52025-02-03T07:24:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/827235827235Periodic Solutions to a Third-Order Conditional Difference Equation over the IntegersLi He0Wanping Liu1College of Computer Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCollege of Computer Science, Chongqing University, Chongqing 400044, ChinaThis paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three) integer solutions. Besides, its all period-four (and five) integer solutions are derived under appropriate rational parameters.http://dx.doi.org/10.1155/2011/827235 |
| spellingShingle | Li He Wanping Liu Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers Discrete Dynamics in Nature and Society |
| title | Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers |
| title_full | Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers |
| title_fullStr | Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers |
| title_full_unstemmed | Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers |
| title_short | Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers |
| title_sort | periodic solutions to a third order conditional difference equation over the integers |
| url | http://dx.doi.org/10.1155/2011/827235 |
| work_keys_str_mv | AT lihe periodicsolutionstoathirdorderconditionaldifferenceequationovertheintegers AT wanpingliu periodicsolutionstoathirdorderconditionaldifferenceequationovertheintegers |