Abstract
In this paper, we derive some new results on the asymptotic stability and strict boundedness for a new class of non-autonomous nonlinear difference equations with time-varying delay. We employ fixed point theory and compute some difference inequalities to derive the new results. We apply these results to determine the extinction condition and the persistence condition for some discrete population models.
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The author sincerely thanks anonymous reviewers for their comments which helped to improve the quality and presentation of the paper.
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Huong, D.C. Asymptotic Stability and Strict Boundedness for Non-autonomous Nonlinear Difference Equations with Time-varying Delay. Vietnam J. Math. 44, 789–800 (2016). https://doi.org/10.1007/s10013-016-0200-4
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DOI: https://doi.org/10.1007/s10013-016-0200-4