Abstract
We give the character of solutions of the following second-order rational difference equation with quadratic denominator
where the coefficients are positive numbers, and the initial conditions \(x_{-1}\) and \(x_0\) are nonnegative such that the denominator is nonzero. In particular, we show that the unique positive equilibrium is locally asymptotically stable, and we give conditions on the coefficients for which the unique positive equilibrium is globally stable.
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The authors wish to thank the anonymous referee for his or her helpful comments for revising this paper.
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KOSTROV, Y., Kudlak, Z. (2020). On a Second-Order Rational Difference Equation with Quadratic Terms, Part II. In: Baigent, S., Bohner, M., Elaydi, S. (eds) Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341. Springer, Cham. https://doi.org/10.1007/978-3-030-60107-2_14
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DOI: https://doi.org/10.1007/978-3-030-60107-2_14
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