Approximate Controllability for a Class of Instantaneous and Non-instantaneous Impulsive Semilinear Systems
Approximate Controllability for a Class of Instantaneous and Non-instantaneous Impulsive Semilinear Systems
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DOI：
10.1007/s10883-021-09540-7
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发表时间：
2021-04
影响因子：
0.9
通讯作者：
Surendra Kumar;S. M. Abdal
中科院分区：
文献类型：
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作者：
Surendra Kumar;S. M. Abdal
在这篇手稿中，遇到的近似可控性的系统，涉及瞬时和非瞬时脉冲。利用半群理论和Sadovskii不动点定理证明了我们的主要结果。在泛函微分方程的能控性研究中，一个问题分别由瞬时脉冲和非瞬时脉冲组成。这是使研究所考虑的问题更有趣的原因。我们还观察到与高血糖水平有关的现象，这与我们的问题有关。最后，通过算例验证了所提出的理论.
In this manuscript, the approximate controllability is encountered for a system involving instantaneous and non-instantaneous impulses. The theory of semigroup and Sadovskii’s fixed point theorem are used to prove our main results. In the direction of controllability for a functional differential equations, a problem consists of either instant impulses or non-instant impulses separately. This is the reason that makes the study of the considered problem more interesting. We also make an observation related to high blood sugar level that is quite natural to relate with our problem. In the end, an example is given to validate the developed theory.