On the dynamical behaviors and periodicity of difference equation of order three
The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;\;\; n = 0,1,2,\dots$$ where $w_{-2}$, $w_{-1...
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| Format: | Article |
| Language: | English |
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Tokat Gaziosmanpasa University
2022-04-01
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| Series: | Journal of New Results in Science |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2133913 |
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| author | Elsayed Elsayed Ibraheem Alsulami |
| author_facet | Elsayed Elsayed Ibraheem Alsulami |
| author_sort | Elsayed Elsayed |
| collection | DOAJ |
| description | The major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;\;\; n = 0,1,2,\dots$$ where $w_{-2}$, $w_{-1}$, and $w_{0} $ are arbitrary real numbers and the values $\alpha$, $\beta$, $\gamma$, $\delta$, and $\zeta$ are defined as positive constants. |
| format | Article |
| id | doaj-art-5694ed289d4b433ab1c7f7d201a1a0b4 |
| institution | DOAJ |
| issn | 1304-7981 |
| language | English |
| publishDate | 2022-04-01 |
| publisher | Tokat Gaziosmanpasa University |
| record_format | Article |
| series | Journal of New Results in Science |
| spelling | doaj-art-5694ed289d4b433ab1c7f7d201a1a0b42025-08-20T02:41:08ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812022-04-01111486110.54187/jnrs.1037024142On the dynamical behaviors and periodicity of difference equation of order threeElsayed Elsayed0https://orcid.org/0000-0003-0894-8472Ibraheem Alsulami1https://orcid.org/0000-0002-2174-6915king Abdulaziz UniversityKing Abdulaziz UniversityThe major target of our research paper is to demonstrate the boundedness, stability and periodicity of the solutions of the following third- order difference equation $$ w_{n+1} = \alpha w_{n} +\frac {\beta+ \gamma w_{n_-2} }{\delta+\zeta w_{n-2}} , \;\;\;\; n = 0,1,2,\dots$$ where $w_{-2}$, $w_{-1}$, and $w_{0} $ are arbitrary real numbers and the values $\alpha$, $\beta$, $\gamma$, $\delta$, and $\zeta$ are defined as positive constants.https://dergipark.org.tr/en/download/article-file/2133913periodicitystabilityboundednessdifference equations |
| spellingShingle | Elsayed Elsayed Ibraheem Alsulami On the dynamical behaviors and periodicity of difference equation of order three Journal of New Results in Science periodicity stability boundedness difference equations |
| title | On the dynamical behaviors and periodicity of difference equation of order three |
| title_full | On the dynamical behaviors and periodicity of difference equation of order three |
| title_fullStr | On the dynamical behaviors and periodicity of difference equation of order three |
| title_full_unstemmed | On the dynamical behaviors and periodicity of difference equation of order three |
| title_short | On the dynamical behaviors and periodicity of difference equation of order three |
| title_sort | on the dynamical behaviors and periodicity of difference equation of order three |
| topic | periodicity stability boundedness difference equations |
| url | https://dergipark.org.tr/en/download/article-file/2133913 |
| work_keys_str_mv | AT elsayedelsayed onthedynamicalbehaviorsandperiodicityofdifferenceequationoforderthree AT ibraheemalsulami onthedynamicalbehaviorsandperiodicityofdifferenceequationoforderthree |