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arXiv · 2507.16560

Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory

Garima Gupta·Jaydev Dabas
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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.

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Garima Gupta, Jaydev Dabas. 2025-07-22. Study on Control Problem of a Impulsive Neutral Integro-Differential Equations with Fading Memory. https://arxiv.org/abs/2507.16560

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