A detailed study on a solvable system related to the linear fractional difference equation
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we present a detailed study of the following system of difference equations x(n+1) = a/1+y(n)x(n-1), y(n+1) = b/1+x(n)y(n-1), n is an element of N-0, where the parameters a, b, and the initial values x(-1), x(0), y(-1), Y-0 are arbitrary real numbers such that x(n) and y(n) are defined. We mainly show by using a practical method that the general solution of the above system can be represented by characteristic zeros of the associated third-order linear equation. Also, we characterized the well-defined solutions of the system. Finally, we study long-term behavior of the well-defined solutions by using the obtained representation forms.
Açıklama
Anahtar Kelimeler
Behavior Of Solutions, Characteristic Equation, General Solution, System Of Difference Equations, Periodic Solution
Kaynak
Mathematical Biosciences And Engineering
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
18
Sayı
5
