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C. H. Gibbons, M. R. S. Kulenovic, G. Ladas and H. D. Voulov, “On the Trichotomy Character of x_n+1=(α+βx_n+Υx_n-1)/(A+x_n),” Journal of Difference Equations and Applications, Vol. 8, No. 1, 2002, pp. 75-92. doi:10.1080/10236190211940

has been cited by the following article:

• TITLE: Stability Analysis of a Nonlinear Difference Equation

  AUTHORS: Fatma Bozkurt

  KEYWORDS: Difference Equations; Stability Analysis; Semi-Cycle Solutions; Boundedness

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.1, March 13, 2013

  ABSTRACT: The local and global behavior of the positive solutions of the difference equation was investigated, where the parametersα,βandγand the initial conditions are arbitrary positive numbers. Furthermore, the characterization of the stability was studied with a basin that depends on the conditions of the coefficients. The analysis about the semi-cycle of positive solutions has end the study of this work.