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Article Citation - WoS: 1Citation - Scopus: 2On the Dynamics of the Nonlinear Difference Equation xn+1 = Α Plus Βxn-1 + xn-1(Science Society Thailand, 2015) Aksoy, Aycan; Turan, MehmetThe boundedness and semi-cycle analysis of positive solutions, existence of period-2 solutions, and local and global asymptotic stability of the recursive sequence x(n+1) = alpha + beta x(n-1) + x(n-1)/x(n), n = 0,1,... are investigated where alpha is an element of [0, infinity), beta is an element of [0, 1) and the initial conditions x(-1) and x(0) are arbitrary positive real numbers. The paper concludes with some numerical examples to illustrate the theoretical results.
