Global behavior of two-dimensional difference equations system with two period coefficients
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Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tbilisi Center for Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate the following system of difference equations x(n+1) = alpha(n)/1 + y(n)x(n-1), y(n+1) = beta(n)/1 + x(n)y(n-1), n is an element of N-0, where the sequences (alpha(n))(n is an element of N0), (beta(n))(n is an element of N0) are positive, real and periodic with period two and the initial values x(-1), x(0), y(-1), y(0) are non-negative real numbers. We show that every positive solution of the system is bounded and examine their global behaviors. In addition, we give closed forms of the general solutions of the system by using the change of variables. Finally, we present a numerical example to support our results.
Açıklama
*Kara, Merve ( Aksaray, Yazar )
Anahtar Kelimeler
Global Behavior, Solution in Closed Form, System of Difference Equations
Kaynak
Tbilisi Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
13
Sayı
4
