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<p>This work presents new results on the existence and uniqueness of global solutions for linear partial differential-algebraic equations.The analysis is based on the theory of strongly continuous semigroups, which has proved to be an effective framework for studying such systems.To demonstrate the applicability of the theoretical results, the method is applied to a linear system.In this setting, the&#xa0;existence of a global solution is established.</p>

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Global Existence and Uniqueness of Solutions to PDAEs with Applications

  • 期刊论文

  • 发表日期：

    2026年1月29日

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  • S. A. Benabdallah,
  • M. Souilah

摘要

This work presents new results on the existence and uniqueness of global solutions for linear partial differential-algebraic equations.The analysis is based on the theory of strongly continuous semigroups, which has proved to be an effective framework for studying such systems.To demonstrate the applicability of the theoretical results, the method is applied to a linear system.In this setting, the existence of a global solution is established.