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<p>In this paper, we study the first and second order nonlinear Hahn difference equations with maxima. Firstly, we prove the existence and uniqueness of the solutions to the nonlinear Hahn difference equations with the help of theorem of step by step contraction. Then, we obtain a comparison theorem by constructing successive approximation sequences in combination with the weakly Picard operator (WPO). Further, the Ulam’s type stability of the nonlinear Hahn difference equations with maxima are given. Finally, two examples are given to illustrate the theoretical results.</p>

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On Nonlinear Hahn Difference Equations with Maxima

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Longyun Zhou,
  • JinRong Wang

摘要

In this paper, we study the first and second order nonlinear Hahn difference equations with maxima. Firstly, we prove the existence and uniqueness of the solutions to the nonlinear Hahn difference equations with the help of theorem of step by step contraction. Then, we obtain a comparison theorem by constructing successive approximation sequences in combination with the weakly Picard operator (WPO). Further, the Ulam’s type stability of the nonlinear Hahn difference equations with maxima are given. Finally, two examples are given to illustrate the theoretical results.