Global attractivity of a rational difference equation with higher order and its applications
We study in this paper the global attractivity for a higher order rational difference equation. As application, our results not only include and generalize many known ones, but also formulate some new results for several conjectures presented by Camouzis and Ladas, et al.
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-07-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024021 |
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| _version_ | 1832590309777735680 |
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| author | Xianyi Li Luyao Lv |
| author_facet | Xianyi Li Luyao Lv |
| author_sort | Xianyi Li |
| collection | DOAJ |
| description | We study in this paper the global attractivity for a higher order rational difference equation. As application, our results not only include and generalize many known ones, but also formulate some new results for several conjectures presented by Camouzis and Ladas, et al. |
| format | Article |
| id | doaj-art-1ae5b8548da848c295a6821e320a424f |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-1ae5b8548da848c295a6821e320a424f2025-01-24T01:02:08ZengAIMS PressMathematical Modelling and Control2767-89462024-07-014326027210.3934/mmc.2024021Global attractivity of a rational difference equation with higher order and its applicationsXianyi Li0Luyao Lv1Department of Big Data Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaDepartment of Big Data Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaWe study in this paper the global attractivity for a higher order rational difference equation. As application, our results not only include and generalize many known ones, but also formulate some new results for several conjectures presented by Camouzis and Ladas, et al.https://www.aimspress.com/article/doi/10.3934/mmc.2024021rational difference equation with higher orderglobal attractivityglobally asymptotically stableschwarzian derivativeconjecture |
| spellingShingle | Xianyi Li Luyao Lv Global attractivity of a rational difference equation with higher order and its applications Mathematical Modelling and Control rational difference equation with higher order global attractivity globally asymptotically stable schwarzian derivative conjecture |
| title | Global attractivity of a rational difference equation with higher order and its applications |
| title_full | Global attractivity of a rational difference equation with higher order and its applications |
| title_fullStr | Global attractivity of a rational difference equation with higher order and its applications |
| title_full_unstemmed | Global attractivity of a rational difference equation with higher order and its applications |
| title_short | Global attractivity of a rational difference equation with higher order and its applications |
| title_sort | global attractivity of a rational difference equation with higher order and its applications |
| topic | rational difference equation with higher order global attractivity globally asymptotically stable schwarzian derivative conjecture |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024021 |
| work_keys_str_mv | AT xianyili globalattractivityofarationaldifferenceequationwithhigherorderanditsapplications AT luyaolv globalattractivityofarationaldifferenceequationwithhigherorderanditsapplications |