ON THE PERIODIC SOLUTIONS OF SOME SYSTEMS OF HIGHER ORDER DIFFERENCE EQUATIONS
Melih Gocen, Adem Cebeci
article (Uluslararası, Hakemli) | Yazar(lar): Melih Gocen, Adem Cebeci | Yıl: 2018 | Dergi/Kurum: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | İndeks: WOS.SCI | DOI: 10.1216/rmj-2018-48-3-845 | Anahtar Kelimeler: Periodicity, systems of higher order difference equations, form of the solutions — Özet: In this paper, we obtai
In this paper, we obtain the general form of the periodic solutions of some higher order difference equations system
x(n+1)=+/- x(n-k)y(n-(2k+1))/y(n-(2k+1)) -/+ y(n-k),
y(n+1)= +/- y(n-k)x(n-(2k+1))/x(n-(2k+1))-/+ x(n-k,)
n, k is an element of N-0, where the initial values are arbitrary real numbers such that the denominator is always nonzero. Moreover, some numerical examples are presented to verify our theoretical results.