Ibrahim Yalçinkaya

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Copyright q 2010 Ali Gelisken et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We prove that every positive solution of the max-type difference equation x n max{A/x α n−p , B/x β n−k }(More)
In this note we prove that all positive solutions of the difference equations x n+1 = 1 + x n k i=1 x n−i where k ∈ N, converge to the positive equilibrium ¯ x = 1. The result generalizes the main theorem in the paper: Li Xianyi and Zhu Deming, Global asymptotic stability in a rational equation, J. Differ. Equations Appl. 9 (9), (2003), 833-839. We present(More)
In this paper a sufficient condition is obtained for the global asmptotic stability of the following system of difference equations z n+1 = t n + z n−1 t n z n−1 + a , t n+1 = z n + t n−1 z n t n−1 + a , n = 0, 1, 2, ... where the parameter aa(0, ∞) and the initial values (z k , t k)(0, ∞) (for k = −1, 0).
Copyright q 2011 Muhammed Yi ˘ gider et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We(More)