Parameter Identification Problem for Semilinear Abstract Degenerate Delay Differential Equation

• Santosh Ruhil ^[1] ; Muslim Malik ^[1]
  1. [1] Indian Institute of Technology Mandi

     Indian Institute of Technology Mandi

     India

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 4, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.

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