Discussion on the Approximate Controllability of Second-Order Neutral Differential Inclusions with Damping

• Autores: R. Sasikumar, Velusamy Vijayakumar
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº Extra 1, 2024
• Idioma: inglés
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• Resumen

  • In this paper, the approximate controllability problem is discussed for second-order neutral differential inclusions with damping in Banach spaces. The study establishes the existence of mild solutions for the given system by employing sine and cosine operators and applying Bohnenblust-Karlin’s fixed point theorem for multivalued maps.

    By introducing a new set of sufficient conditions, it has been proven that the given system is approximately controllable. An example is provided to illustrate the theory