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

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