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<p>We investigate the existence of three solutions for a partial discrete boundary value problem (BVP) of the Kirchhoff type. This study represents the first attempt to address such a problem in the context of discrete systems. Through rigorous analysis, we establish the existence of at least three distinct solutions under appropriate conditions. The theoretical findings are substantiated with three illustrative examples, demonstrating the applicability and significance of our results in practical scenarios.</p>

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Three solutions for a partial discrete BVP of the Kirchhoff type

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月30日

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  • Feng Xiong,
  • Yonghui Xia,
  • Junning Cai

摘要

We investigate the existence of three solutions for a partial discrete boundary value problem (BVP) of the Kirchhoff type. This study represents the first attempt to address such a problem in the context of discrete systems. Through rigorous analysis, we establish the existence of at least three distinct solutions under appropriate conditions. The theoretical findings are substantiated with three illustrative examples, demonstrating the applicability and significance of our results in practical scenarios.