The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order
We explore the dynamics of adhering to rational difference formula$$ \psi_{m+1}=\frac{\psi_{m-20}}{\pm 1 \pm \psi_{m-2}\psi_{m-5}\psi_{m-8}\psi_{m-11}\psi_{m-14}\psi_{m-17}\psi_{m-20}}, \quad m \in \mathbb{N}_{0} $$where the initials are arbitrary nonzero real numbers. Specifically, we examine globa...
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| Format: | Article |
| Language: | English |
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Kyrgyz Turkish Manas University
2023-07-01
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| Series: | MANAS: Journal of Engineering |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2886707 |
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| author | Ibrahim Tarek Fawzi Abdelhamid Dağıstan Şimşek Burak Oğul |
| author_facet | Ibrahim Tarek Fawzi Abdelhamid Dağıstan Şimşek Burak Oğul |
| author_sort | Ibrahim Tarek Fawzi Abdelhamid |
| collection | DOAJ |
| description | We explore the dynamics of adhering to rational difference formula$$ \psi_{m+1}=\frac{\psi_{m-20}}{\pm 1 \pm \psi_{m-2}\psi_{m-5}\psi_{m-8}\psi_{m-11}\psi_{m-14}\psi_{m-17}\psi_{m-20}}, \quad m \in \mathbb{N}_{0} $$where the initials are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. Additionally, we provide examples and solutions graphs of some special cases. |
| format | Article |
| id | doaj-art-3bd4a3abe8a44ea08bf389e0e672df48 |
| institution | Kabale University |
| issn | 1694-7398 |
| language | English |
| publishDate | 2023-07-01 |
| publisher | Kyrgyz Turkish Manas University |
| record_format | Article |
| series | MANAS: Journal of Engineering |
| spelling | doaj-art-3bd4a3abe8a44ea08bf389e0e672df482025-02-03T11:50:36ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982023-07-0111115816510.51354/mjen.12330631437The Solution and Dynamic Behaviour of Difference Equations of Twenty-First OrderIbrahim Tarek Fawzi Abdelhamid0https://orcid.org/0000-0002-6895-3268Dağıstan Şimşek1https://orcid.org/0000-0003-3003-807XBurak Oğul2https://orcid.org/0000-0002-3264-4340King Khalid UniversityKONYA TECHNICAL UNIVERSITYISTANBUL AYDIN UNIVERSITYWe explore the dynamics of adhering to rational difference formula$$ \psi_{m+1}=\frac{\psi_{m-20}}{\pm 1 \pm \psi_{m-2}\psi_{m-5}\psi_{m-8}\psi_{m-11}\psi_{m-14}\psi_{m-17}\psi_{m-20}}, \quad m \in \mathbb{N}_{0} $$where the initials are arbitrary nonzero real numbers. Specifically, we examine global asymptotically stability. Additionally, we provide examples and solutions graphs of some special cases.https://dergipark.org.tr/en/download/article-file/2886707equilibrium pointsolution of difference equationstabilityboundednessglobal asymptotic stabilityequilibrium pointsolution of difference equationstabilityboundednessglobal asymptotic stability |
| spellingShingle | Ibrahim Tarek Fawzi Abdelhamid Dağıstan Şimşek Burak Oğul The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order MANAS: Journal of Engineering equilibrium point solution of difference equation stability boundedness global asymptotic stability equilibrium point solution of difference equation stability boundedness global asymptotic stability |
| title | The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order |
| title_full | The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order |
| title_fullStr | The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order |
| title_full_unstemmed | The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order |
| title_short | The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order |
| title_sort | solution and dynamic behaviour of difference equations of twenty first order |
| topic | equilibrium point solution of difference equation stability boundedness global asymptotic stability equilibrium point solution of difference equation stability boundedness global asymptotic stability |
| url | https://dergipark.org.tr/en/download/article-file/2886707 |
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