On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]
The behaivour of the solutions of the following system ofdifference equations is examined,x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]where the initial conditions are positive real numbers.The initial conditions of the equation are arbitrary positive real numbers.Also, we discuss and i...
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| Format: | Article |
| Language: | English |
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Kyrgyz Turkish Manas University
2019-12-01
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| Series: | MANAS: Journal of Engineering |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/900017 |
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| author | Burak Oğul Dağıstan Şimşek |
| author_facet | Burak Oğul Dağıstan Şimşek |
| author_sort | Burak Oğul |
| collection | DOAJ |
| description | The behaivour of the solutions of the following system ofdifference equations is examined,x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]where the initial conditions are positive real numbers.The initial conditions of the equation are arbitrary positive real numbers.Also, we discuss and illustrate the stability of the solutions in theneighborhood of the critical points and the periodicity of the consideredequations. |
| format | Article |
| id | doaj-art-f9fb5a8a02dc4f7cbcdf79777e28a64e |
| institution | Kabale University |
| issn | 1694-7398 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | Kyrgyz Turkish Manas University |
| record_format | Article |
| series | MANAS: Journal of Engineering |
| spelling | doaj-art-f9fb5a8a02dc4f7cbcdf79777e28a64e2024-12-05T03:57:25ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982019-12-01721471561437On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]Burak Oğul0https://orcid.org/0000-0002-3264-4340Dağıstan Şimşek1KYRGYZ - TURKISH MANAS UNIVERSITYKonya Technical UniversityThe behaivour of the solutions of the following system ofdifference equations is examined,x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)]where the initial conditions are positive real numbers.The initial conditions of the equation are arbitrary positive real numbers.Also, we discuss and illustrate the stability of the solutions in theneighborhood of the critical points and the periodicity of the consideredequations.https://dergipark.org.tr/en/download/article-file/900017difference equationrational difference equationperiod 21 solutions |
| spellingShingle | Burak Oğul Dağıstan Şimşek On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] MANAS: Journal of Engineering difference equation rational difference equation period 21 solutions |
| title | On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] |
| title_full | On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] |
| title_fullStr | On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] |
| title_full_unstemmed | On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] |
| title_short | On The Recursive Sequence x(n+1)=x(n-20)/[1+x(n-2)x(n-5)x(n-8)x(n-11)x(n-14)x(n-17)] |
| title_sort | on the recursive sequence x n 1 x n 20 1 x n 2 x n 5 x n 8 x n 11 x n 14 x n 17 |
| topic | difference equation rational difference equation period 21 solutions |
| url | https://dergipark.org.tr/en/download/article-file/900017 |
| work_keys_str_mv | AT burakogul ontherecursivesequencexn1xn201xn2xn5xn8xn11xn14xn17 AT dagıstansimsek ontherecursivesequencexn1xn201xn2xn5xn8xn11xn14xn17 |