Abstract Our purpose in this manuscript is to study the existence of solution, stability analysis and exact controllability results for an abstract integro hybrid evolution system with impulses on time scales. Non-linear functional analysis, evolution operator theory and Banach contraction theorem have been used to establish these results. In the end, we present some theoretical and numerical examples for different time scales to illustrate the application of these analytical results.

中文翻译：

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具有时间尺度脉冲的抽象积分混合进化系统的结果

摘要 我们在这篇手稿中的目的是研究具有时间尺度脉冲的抽象积分混合进化系统的解的存在性、稳定性分析和精确可控性结果。非线性泛函分析、演化算子理论和巴拿赫收缩定理已被用于建立这些结果。最后，我们提出了一些不同时间尺度的理论和数值例子来说明这些分析结果的应用。