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A first-order difference equation of the form \(\displaystyle x_{n+1}=F(n,x_n),\quad n\in \mathbb {N}, \) may be used to describe phenomena that evolve in discrete time, where the size of the each generation is a function of that preceding. But the real world often refuses to conform to such a neat mathematical representation.

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Dynamics of Stochastic Difference Equations and Applications

  • 工具书词条

  • 发表日期：

    2025年

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  • Cónall Kelly,
  • Alexandra Rodkina

摘要

A first-order difference equation of the form \(\displaystyle x_{n+1}=F(n,x_n),\quad n\in \mathbb {N}, \) may be used to describe phenomena that evolve in discrete time, where the size of the each generation is a function of that preceding. But the real world often refuses to conform to such a neat mathematical representation.