Saime ZENGİN, İlhan ÖZTÜRK, Fatma BOZKURT

On the Dynamics of the Recursive Sequence

Our aim in this paper is to investigate the local stability of the positive solutions of the difference equationyn+1= [(α-yn)/ (βyn-1)] − [(γ-yn-1)/ βyn ] , n=0,1,2,...,where the initial conditions y−1 , y0 are arbitrary positive real numbers such that yn ≠ 0 for n= −1,0,1,..., , α, β, γ ε (0,∞) and α > γ. Furthermore we investigate the periodic nature of the mentioned difference equation.Key Words: Difference Equations, Local Stability, Period-two Solutions.

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Gazi University Journal of Science-Cover

Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 1988
Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü

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