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<p>We overview the studies on integrability, the center problem and the existence of inverse integrating factor for a planar differential system with a nilpotent singularity. We analyze the connections among these three concepts and provide several examples to enhance understanding of the topics discussed.</p>

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Survey on Integrability and Center Problem of Nilpotent Planar Differential Systems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年7月16日

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  • Antonio Algaba,
  • Jaume Giné,
  • Manuel Reyes

摘要

We overview the studies on integrability, the center problem and the existence of inverse integrating factor for a planar differential system with a nilpotent singularity. We analyze the connections among these three concepts and provide several examples to enhance understanding of the topics discussed.