xn+1 = xn xn-1+a Fark Denkleminin Periyodikliği Üzerine

Bu makalede, x-1 ve x0 başlangıç koşulları reel sayılar olmak üzere, n∈N0 için xn+1=xnxn-1+a, lineer olmayan fark denkleminin periyodikliği ve terimlerinin davranışları incelenmiştir

Anahtar Kelimeler:

Sınırlılık, Fark denklemleri, Eninde sonunda periodiklik, Periodiklik

On The Periodicies of The Difference Equation x_ n+1 =x_n x_ n-1 +α

In this paper, we investigate the periodicities and long-term behaviour of the nonlinear difference equation: , , where the initial conditions and are real numbers.

Keywords:

Difference Equations, Boundedness, Periodicity, Eventual periodicity.,

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