On a solvable nonlinear difference equation of higher order
Küçük Resim Yok
Tarih
2018
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tubitak Scientific & Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we consider the following higher-order nonlinear difference equation x(n) = alpha x(n-k) + delta x(n-k)x(n-(k+l))/beta x(n-(k+l)) + gamma x(n-1), n is an element of N-0, where k and l are fixed natural numbers, and the parameters alpha, beta, gamma, delta and the initial values x(-i), i = (1, k +l) over bar, are real numbers such that beta(2) + gamma(2) not equal 0. We solve the above-mentioned equation in closed form and considerably extend some results in the literature. We also determine the asymptotic behavior of solutions and the forbidden set of the initial values using the obtained formulae for the case l = 1.
Açıklama
Anahtar Kelimeler
Difference Equations, Solution In Closed Form, Forbidden Set, Asymptotic Behavior
Kaynak
Turkish Journal Of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
42
Sayı
4
