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Approximate controllability of nonlocal impulsive neutral integro-differential equations with finite delay
  • Kamal Jeet,
  • Dwijendra Pandey
Kamal Jeet
IIT Roorkee
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Dwijendra Pandey
Indian Institute of Technology Roorkee
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Abstract

In this paper, we apply the resolvent operator theory and an approximating technique to derive the existence and controllability results for nonlocal impulsive neutral integro-differential equations with finite delay in a Hilbert space. To establish the results, we take the impulsive functions as a continuous function only, and we assume that the nonlocal initial condition is Lipschitz continuous function in the first case and continuous functions only in the second case. The main tools applied in our analysis are semigroup theory, the resolvent operator theory, an approximating technique, and fixed point theorems. Finally, we illustrate the main results with the help of two examples.

Peer review status:UNDER REVIEW

17 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
18 Feb 2021Assigned to Editor
18 Feb 2021Submission Checks Completed
03 Mar 2021Reviewer(s) Assigned