非瞬时脉冲微分方程的Razumikhin延迟方法

IF 0.7 Q3 MATHEMATICS, APPLIED
R. Agarwal, S. Hristova, D. Regan
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引用次数: 0

摘要

利用类Lyapunov函数和Razumikhin技术研究了具有非瞬时脉冲的时滞微分方程的稳定性。在这些微分方程中,我们有脉冲,它们在某些点突然开始,它们的作用在给定的有限间隔内继续。给出了无时滞非线性标量非瞬时脉冲方程的充分条件,并使用了比较结果。举例说明了我们的稳定性和非瞬时脉冲对解行为的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Razumikhin method to delay differential equations with non-instantaneous impulses
The stability for delay differential equations with non-instantaneous impulses is studied using Lyapunov like functions and the Razumikhin technique. In these differential equations we have impulses, which start abruptly at some points and their action continue on given finite intervals. Sufficient conditions are given and they use comparison results for nonlinear scalar non-instantaneous impulsive equation without any delay. Examples are given to illustrate our stability properties and the influence of non-instantaneous impulses on the behavior of the solution.
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