Abstract
The authors investigate the global behavior of the solutions of the difference equation
where the initial conditions x −r , x −r+1, x−r+2, …, x 0 are arbitrary positive real numbers, r = max{l, k, p, q} is a nonnegative integer and a, b, c are positive constants. Some special cases of this equation are also studied in this paper.
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Elabbasy, E.M., Elsayed, E.M. Dynamics of a rational difference equation. Chin. Ann. Math. Ser. B 30, 187–198 (2009). https://doi.org/10.1007/s11401-007-0456-9
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DOI: https://doi.org/10.1007/s11401-007-0456-9