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March 13, 2026Mathematical Methods in the Applied Sciences0 citations

Controllability of an Abstract Partial Integro‐Differential System with Delay and Impulses

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IKIshfaq KhanAZAkbar ZadaMRMohamed Rhaima

Key Points

  • The research aims to determine criteria for the controllability of specific abstract partial integro-differential systems with delays and impulses.
  • Analyzed non-densely defined abstract partial impulsive integro-differential systems
  • Derived sufficient criteria for controllability
  • Utilized the resolvent operator for the homogeneous part
  • Applied Schauder's fixed-point theorem
  • Illustrated findings with an example
  • Established sufficient criteria ensuring controllability of the systems
  • Demonstrated theoretical application through an example
  • Highlighted the importance of the fixed-point theorem in analysis

Abstract

ABSTRACT This study deals with the controllability of a class of non‐densely defined abstract partial impulsive integro‐differential systems having finite delay in a nonlocal domain. We derive sufficient criteria to ensure the controllability of the system. Our analysis assumes the existence of a resolvent operator for the homogeneous part and applies Schauder's fixed‐point theorem. To conclude, the results are illustrated with an example.

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Cite This Study

Khan et al. (2026) studied this question.

synapsesocial.com/papers/69b3aca302a1e69014cce716https://doi.org/10.1002/mma.70654
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