Solvability and representations of the general solutions to some nonlinear difference equations of second order
We give detailed theoretical explanations for getting the closed-form formulas and representations for the general solutions to four special cases of a class of nonlinear difference equations of second order considered in the literature, present an extension of the class of difference equations whic...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023773?viewType=HTML |
| _version_ | 1797829583317237760 |
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| author | Stevo Stević |
| author_facet | Stevo Stević |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | We give detailed theoretical explanations for getting the closed-form formulas and representations for the general solutions to four special cases of a class of nonlinear difference equations of second order considered in the literature, present an extension of the class of difference equations which is solvable in closed form, analyze some results on the long-term behavior of the solutions to the class of equations, and give some results on convergence. |
| first_indexed | 2024-04-09T13:23:40Z |
| format | Article |
| id | doaj.art-dfb44d152d224ab0a6a1758dc751d98e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T13:23:40Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-dfb44d152d224ab0a6a1758dc751d98e2023-05-11T01:46:05ZengAIMS PressAIMS Mathematics2473-69882023-04-0187151481516510.3934/math.2023773Solvability and representations of the general solutions to some nonlinear difference equations of second orderStevo Stević01. Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/Ⅲ, Beograd 11000, Serbia 2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, TaiwanWe give detailed theoretical explanations for getting the closed-form formulas and representations for the general solutions to four special cases of a class of nonlinear difference equations of second order considered in the literature, present an extension of the class of difference equations which is solvable in closed form, analyze some results on the long-term behavior of the solutions to the class of equations, and give some results on convergence.https://www.aimspress.com/article/doi/10.3934/math.2023773?viewType=HTMLdifference equationsolvable equationclosed-form formula for solutionsbilinear difference equation |
| spellingShingle | Stevo Stević Solvability and representations of the general solutions to some nonlinear difference equations of second order AIMS Mathematics difference equation solvable equation closed-form formula for solutions bilinear difference equation |
| title | Solvability and representations of the general solutions to some nonlinear difference equations of second order |
| title_full | Solvability and representations of the general solutions to some nonlinear difference equations of second order |
| title_fullStr | Solvability and representations of the general solutions to some nonlinear difference equations of second order |
| title_full_unstemmed | Solvability and representations of the general solutions to some nonlinear difference equations of second order |
| title_short | Solvability and representations of the general solutions to some nonlinear difference equations of second order |
| title_sort | solvability and representations of the general solutions to some nonlinear difference equations of second order |
| topic | difference equation solvable equation closed-form formula for solutions bilinear difference equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023773?viewType=HTML |
| work_keys_str_mv | AT stevostevic solvabilityandrepresentationsofthegeneralsolutionstosomenonlineardifferenceequationsofsecondorder |