The work in the manuscript focuses on the existence, uniqueness, and controllability results of a class of semilinear impulsive differential systems with deviated argument and nonlocal initial conditions. Further, trajectory controllability for the same system has also been investigated. To establish a new set of sufficient conditions for the proposed control problem, the semigroup theory of bounded linear operators and the Banach-contraction principle are used. At the end of the manuscript, an example is provided to demonstrate the major findings of the work.

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Trajectory and Exact Controllability Results on Impulsive Nonlocal Differential System with Deviated Argument

  • Vandana Yadav,
  • Ramesh Kumar Vats,
  • Ankit Kumar

摘要

The work in the manuscript focuses on the existence, uniqueness, and controllability results of a class of semilinear impulsive differential systems with deviated argument and nonlocal initial conditions. Further, trajectory controllability for the same system has also been investigated. To establish a new set of sufficient conditions for the proposed control problem, the semigroup theory of bounded linear operators and the Banach-contraction principle are used. At the end of the manuscript, an example is provided to demonstrate the major findings of the work.