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2. 12. 2019.
Stability and Periodicity of Certain Homogeneous Second-Order Fractional Difference Equations with Quadratic Terms
We investigate the local and global character of the unique equilibrium point of certain homogeneous fractional difference equation with quadratic terms. The existence of the period-two solution in one special case is given. Also, in this case the local and global stability of the minimal period-two solution for some special values of the parameters are given. AMS Subject Classifications: 39A10, 39A20, 39A23, 39A30.