Approximate controllability of nonlocal impulsive neutral
integro-differential equations with finite delay
- Kamal Jeet,
- Dwijendra Pandey
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.17 Feb 2021Submitted to Mathematical Methods in the Applied Sciences 18 Feb 2021Submission Checks Completed
18 Feb 2021Assigned to Editor
03 Mar 2021Reviewer(s) Assigned
18 Jul 2021Review(s) Completed, Editorial Evaluation Pending
23 Jul 2021Editorial Decision: Accept
Dec 2021Published in Mathematical Methods in the Applied Sciences volume 44 issue 18 on pages 14937-14956. 10.1002/mma.7753