Dynamics and Expression of Solution of a Sixth Order Difference Equation

Abdul KHALİQ

doi:https://doi.org/10.33187/jmsm.929981

Makale detayları

Dynamics and Expression of Solution of a Sixth Order Difference Equation

Yazarlar:

Abdul KHALİQ

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2021 Vol.4 Issue 2, pp.89-102

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000486588

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.929981

Özet:

 

This paper deals with the solution behavior and periodic nature of the solutions of the difference equation sn+1=αsn+βsnsn−4γsn−4+δsn−5,n=0,1,...sn+1=αsn+βsnsn−4γsn−4+δsn−5,n=0,1,... s_{n+1}=\alpha s_{n}+\dfrac{\beta s_{n}s_{n-4}}{\gamma s_{n-4}+\delta s_{n-5} },\;\;\;n=0,1,...  {\Large \noindent }where the initial conditions s−5, s−4, s−3, s−2, s−1, s0s−5, s−4, s−3, s−2, s−1, s0s_{-5},\ s_{-4},\ s_{-3},\ s_{-2},\ s_{-1},\ s_{0} are arbitrary positive real numbers and α, β, γ, δ α, β, γ, δ \alpha ,\ \beta ,\ \gamma ,\ \delta \ are positive constants. Also we obtain the closed form of the solutions of some special cases of this equation.

Makale detayları

Dynamics and Expression of Solution of a Sixth Order Difference Equation

Yazarlar: Abdul KHALİQ

Yayıncı: Mahmut AKYİĞİT

Ana Başlıklar: Matematik

Dergi: Journal of Mathematical Sciences and Modelling 2021 Vol.4 Issue 2, pp.89-102

Belge Tipi: Makale

Yayın Tarihi: 8/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000486588

Sıklık: Aylık

pISSN: 2636-8692

DOI: https://doi.org/10.33187/jmsm.929981

Sayı

Yazarlar:

Abdul KHALİQ

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2021 Vol.4 Issue 2, pp.89-102

Belge Tipi:

Makale

Yayın Tarihi:

8/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000486588

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.929981