On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis
Abstract In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability character of the equilibrium points. We utilize Lie symmetry analysis as part of our approach together with some...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Arabian Journal of Mathematics |
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| Online Access: | https://doi.org/10.1007/s40065-023-00438-9 |
| _version_ | 1797663605884190720 |
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| author | Mensah Folly-Gbetoula |
| author_facet | Mensah Folly-Gbetoula |
| author_sort | Mensah Folly-Gbetoula |
| collection | DOAJ |
| description | Abstract In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability character of the equilibrium points. We utilize Lie symmetry analysis as part of our approach together with some number theoretic functions. Our findings generalize certain results in the literature. |
| first_indexed | 2024-03-11T19:17:04Z |
| format | Article |
| id | doaj.art-656cb3efdac24d92a0c0bfa06a87d309 |
| institution | Directory Open Access Journal |
| issn | 2193-5343 2193-5351 |
| language | English |
| last_indexed | 2024-03-11T19:17:04Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Arabian Journal of Mathematics |
| spelling | doaj.art-656cb3efdac24d92a0c0bfa06a87d3092023-10-08T11:07:09ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512023-08-0112354155110.1007/s40065-023-00438-9On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysisMensah Folly-Gbetoula0School of Mathematics, University of the Witwatersrand (Wits)Abstract In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability character of the equilibrium points. We utilize Lie symmetry analysis as part of our approach together with some number theoretic functions. Our findings generalize certain results in the literature.https://doi.org/10.1007/s40065-023-00438-939A1039A1339A99 |
| spellingShingle | Mensah Folly-Gbetoula On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis Arabian Journal of Mathematics 39A10 39A13 39A99 |
| title | On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis |
| title_full | On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis |
| title_fullStr | On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis |
| title_full_unstemmed | On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis |
| title_short | On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis |
| title_sort | on a family of higher order recurrence relations symmetries formula solutions periodicity and stability analysis |
| topic | 39A10 39A13 39A99 |
| url | https://doi.org/10.1007/s40065-023-00438-9 |
| work_keys_str_mv | AT mensahfollygbetoula onafamilyofhigherorderrecurrencerelationssymmetriesformulasolutionsperiodicityandstabilityanalysis |