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In this manuscript, we provide a sufficient condition for establishing the controllability of the third-order delayed integrodifferential dispersion system (3O-DIDDS). The result is derived using Krasnoselskii’s fixed-point theorem, along with the theory of strongly continuous semigroups. To handle the complex nature of the operator that arises in the study, Krasnoselskii’s theorem, which combines elements of the Schauder fixed-point theorem and the Banach contraction mapping theorem, was employed.

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Controllability of Third-Order Delayed Integrodifferential Systems: A Fixed-Point Theorem Based Result

  • 会议论文

  • 发表日期：

    2026年

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  • Sandeep Kumar

摘要

In this manuscript, we provide a sufficient condition for establishing the controllability of the third-order delayed integrodifferential dispersion system (3O-DIDDS). The result is derived using Krasnoselskii’s fixed-point theorem, along with the theory of strongly continuous semigroups. To handle the complex nature of the operator that arises in the study, Krasnoselskii’s theorem, which combines elements of the Schauder fixed-point theorem and the Banach contraction mapping theorem, was employed.