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<p>In this manuscript, we deal with the first order identification problem (IP) for abstract degenerate delay differential equations in a Banach space. Our initial approach involves formulating appropriate assumptions concerning the closed linear operators. This enables us to achieve a unique solvability by reducing the problem to a nondegenerate case. The general scenario is subsequently addressed utilizing novel findings regarding convolutions. Next, some examples are given to check the validity and accuracy of our abstract results.</p>

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Parameter Identification Problem for Semilinear Abstract Degenerate Delay Differential Equation

  • 期刊论文

  • 发表日期：

    2025年7月8日

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  • Santosh Ruhil,
  • Muslim Malik

摘要

In this manuscript, we deal with the first order identification problem (IP) for abstract degenerate delay differential equations in a Banach space. Our initial approach involves formulating appropriate assumptions concerning the closed linear operators. This enables us to achieve a unique solvability by reducing the problem to a nondegenerate case. The general scenario is subsequently addressed utilizing novel findings regarding convolutions. Next, some examples are given to check the validity and accuracy of our abstract results.