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## On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]

#### Burak OĞUL  , Dağistan ŞİMŞEK 

In this paper, given solutions fort he following difference equation x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. We investigate periodic behavior of this equation. Also some numerical examples and graphs of solutions are given.
difference equations, recursive sequences, recursive
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Primary Language en Engineering Research Article Orcid: 0000-0002-3264-4340Author: Burak OĞUL (Primary Author)Institution: KYRGYZ - TURKISH MANAS UNIVERSITY, INSTITUTE OF SCIENCECountry: Turkey Orcid: 0000-0003-3003-807XAuthor: Dağistan ŞİMŞEKInstitution: KONYA TEKNİK ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ, ENDÜSTRİ MÜHENDİSLİĞİ BÖLÜMÜCountry: Turkey Publication Date : December 21, 2020
 Bibtex @research article { mjen748450, journal = {MANAS Journal of Engineering}, issn = {1694-7398}, eissn = {1694-7398}, address = {}, publisher = {Kyrgyz-Turkish Manas University}, year = {2020}, volume = {8}, pages = {155 - 163}, doi = {10.51354/mjen.748450}, title = {On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]}, key = {cite}, author = {Oğul, Burak and Şi̇mşek, Dağistan} } APA Oğul, B , Şi̇mşek, D . (2020). On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] . MANAS Journal of Engineering , 8 (2) , 155-163 . DOI: 10.51354/mjen.748450 MLA Oğul, B , Şi̇mşek, D . "On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]" . MANAS Journal of Engineering 8 (2020 ): 155-163 Chicago Oğul, B , Şi̇mşek, D . "On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]". MANAS Journal of Engineering 8 (2020 ): 155-163 RIS TY - JOUR T1 - On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] AU - Burak Oğul , Dağistan Şi̇mşek Y1 - 2020 PY - 2020 N1 - doi: 10.51354/mjen.748450 DO - 10.51354/mjen.748450 T2 - MANAS Journal of Engineering JF - Journal JO - JOR SP - 155 EP - 163 VL - 8 IS - 2 SN - 1694-7398-1694-7398 M3 - doi: 10.51354/mjen.748450 UR - https://doi.org/10.51354/mjen.748450 Y2 - 2020 ER - EndNote %0 MANAS Journal of Engineering On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] %A Burak Oğul , Dağistan Şi̇mşek %T On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)] %D 2020 %J MANAS Journal of Engineering %P 1694-7398-1694-7398 %V 8 %N 2 %R doi: 10.51354/mjen.748450 %U 10.51354/mjen.748450 ISNAD Oğul, Burak , Şi̇mşek, Dağistan . "On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]". MANAS Journal of Engineering 8 / 2 (December 2020): 155-163 . https://doi.org/10.51354/mjen.748450 AMA Oğul B , Şi̇mşek D . On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MJEN. 2020; 8(2): 155-163. Vancouver Oğul B , Şi̇mşek D . On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]. MANAS Journal of Engineering. 2020; 8(2): 155-163. IEEE B. Oğul and D. Şi̇mşek , "On the Recursive Sequence x(n+!) = x(n-14) / [1 + x(n-2) x(n-5) x(n-8) x(n-11)]", MANAS Journal of Engineering, vol. 8, no. 2, pp. 155-163, Dec. 2020, doi:10.51354/mjen.748450

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