# On Impulsive Delay Integrodifferential Equations with Integral Impulses

## TL;DR

This paper studies the existence and uniqueness of solutions for impulsive delay integrodifferential equations with integral impulses in Banach spaces, using semigroup theory and fixed point methods.

## Contribution

It introduces new existence and uniqueness results for a class of impulsive delay integrodifferential equations with integral impulses, extending previous work.

## Key findings

- Proved existence and uniqueness of mild solutions.
- Analyzed the dependence of solutions on initial data and parameters.
- Provided an example illustrating the theoretical results.

## Abstract

The present research paper is devoted to investigate the existence, uniqueness of mild solutions for impulsive delay integrodifferential equations with integral impulses in Banach spaces. We also investigate the dependence of solutions on initial conditions, parameters and the functions involved in the equations. Our analysis is based on semigroup theory, fixed point technique and an application of Pachpatte's type integral inequality with integral impulses. An example is provided in support of existence result.