The present research paper is devoted to investigating 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.

中文翻译：

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具有积分脉冲的脉冲时滞积分微分方程

本研究论文致力于研究Banach空间中带积分脉冲的脉冲时滞积分微分方程的温和解的存在性，唯一性。我们还研究了解对初始条件，参数和方程中涉及的函数的依赖性。我们的分析基于半群论，不动点技术以及具有积分脉冲的Pachpatte型积分不等式的应用。提供一个示例以支持存在结果。