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This work uncovers solution formulas and conditions for periodic behavior in nonlinear difference equations, suggesting insights into dynamic systems.
This work focuses on a class of nonlinear second-order difference equations with non-autonomous periodic coefficients. We obtain explicit solution formulas that allow for a constructive characterization of their behavior. In particular, we derive necessary and sufficient conditions for the existence of periodic solutions, providing a complete description of when they arise. Several numerical examples are also included to illustrate the theoretical results.
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Aljoufi et al. (2026) studied this question.
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