This article is devoted to the study of certain nonautonomous and nonlinear difference equations of higher order. Our main objective is to formulate sufficient conditions under which the class of difference equations we consider exhibits Hyers–Ulam stability. Our methods rely on the relationship between Hyers–Ulam stability and hyperbolicity for nonautonomous systems.

中文翻译：

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某些非自治和非线性差分方程的Hyers-Ulam稳定性

本文致力于某些高阶非自治和非线性差分方程的研究。我们的主要目标是制定足够的条件，在此条件下，我们认为差分方程组具有Hyers-Ulam稳定性。对于非自治系统，我们的方法依赖于Hyers-Ulam稳定性和双曲性之间的关系。