Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory
Optimization and Control
2025-07-23 v1 Dynamical Systems
Abstract
This article addresses control problems for semilinear impulsive neutral integro-differential equations with memory in a Banach space. It investigates the approximate controllability of linear and semilinear systems and proves the establishment of mild solutions in the semilinear setting. The approach involves constructing a resolvent family for the corresponding integro-differential equation of linear type without memory. The results for the linear system are established first, then extended to the semilinear scenario, followed by a detailed example to illustrate the theoretical findings.
Cite
@article{arxiv.2507.16560,
title = {Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory},
author = {Garima Gupta and Jaydev Dabas},
journal= {arXiv preprint arXiv:2507.16560},
year = {2025}
}