On a two-dimensional nonlinear system of difference equations close to the bilinear system
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We consider the two-dimensional nonlinear system of difference equations xn = xn-k ayn-l + byn-(k+l) cyn-l + dyn-(k+l) , yn = yn-k & alpha;xn-l + & beta;xn-(k+l) , & gamma;xn-l + & delta;xn-(k+l) for n E N0, where the delays k and l are two natural numbers, and the initial values x- j, y- j, 1 < j < k+l, and the parameters a, b, c, d, & alpha;, & beta;, & gamma;, & delta; are real numbers. We show that the system of difference equations is solvable by presenting a method for finding its general solution in detail. Bearing in mind that the system of equations is a natural generalization of the corresponding one-dimensional difference equation, whose special cases appear in the literature from time to time, our main result presented here also generalizes many results therein.
Açıklama
Anahtar Kelimeler
Nonlinear System Of Difference Equations, Solvable System, Closed-Form Formula
Kaynak
Aims Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
8
Sayı
9
