ABSTRACT We study a large class of finite difference equations that exhibit a type of periodic pattern repetition in their solutions for certain choices of initial conditions and prove the existence of unbounded solutions.

中文翻译：

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有限差分方程无界解的周期性模式重复

摘要 我们研究了一大类有限差分方程，这些方程在某些初始条件选择的解中表现出一种周期性模式重复，并证明了无界解的存在。