Solvability of a system of higher order nonlinear difference equations
Küçük Resim Yok
Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we show that the system of difference equations x(n) = ay(n-k) + d(yn)-k(xn)-(k+l)/bx(n)-(k+l) + cy(n-l), y(n) = ax(n)-k + delta x(n)-ky(n)-(k+l)/beta y(n)-(k+l) +gamma x(n-l), where n is an element of N-0, k and l are positive integers, the parameters a, b, c, d, alpha, beta,gamma, delta are real numbers and the initial values x(-j), y(-j), j = (1, k + l$$) over bar, are real numbers, can be solved in the closed form. We also determine the asymptotic behavior of solutions for the case l = 1 and describe the forbidden set of the initial values using the obtained formulas. Our obtained results significantly extend and develop some recent results in the literature.
Açıklama
Anahtar Kelimeler
System Of Difference Equations, Asymptotic Behavior, Fibonacci Sequence, Forbidden Set
Kaynak
Hacettepe Journal Of Mathematics And Statistics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
49
Sayı
5
