On the system of difference equations

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Tarih

2020

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Yayıncı

Islamic Azad University

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we show that the system of difference equations x(n) = x(n-2)y(n-3)/y(n-1)(a(n)+b(n)x(n-2)y(n-3)), y(n) = y(n-2)x(n-3)/x(n-1)(alpha(n)+beta(n)y(n-2)x(n-3)), n is an element of N-0, where the sequences for all n is an element of N-0, (a(n)), (b(n)), (alpha(n)), (beta(n)) and the initial values x(-j), y(-j), j is an element of {1, 2, 3} are non-zero real numbers, can be solved in the closed form. For the case when all the sequences (a(n)), (b(n)), (alpha(n)), (beta(n)) are constant we describe the asymptotic behavior and periodicity of solutions of above system is also investigated.

Açıklama

*Kara, M. ( Aksaray, Yazar )

Anahtar Kelimeler

System of Difference Equation, Asymptotic Behavior, Closed form Solution

Kaynak

Journal of Mathematical Extension

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

14

Sayı

1

Künye