Stability results for impulsive pantograph equations

Guan K.; Luo Z.

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Stability results for impulsive pantograph equations

机译：脉冲受电弓方程的稳定性结果

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摘要

By employing the Lyapunov functions and Razumikhin technique, some stability results are obtained for pantograph equations with impulses. Our results reveal the fact that certain impulses may make an unstable system stable and that the stability of pantograph equations may also be inherited by impulsive pantograph ones under appropriate impulsive perturbations.

机译：通过使用Lyapunov函数和Razumikhin技术，获得了带有脉冲的受电弓方程的一些稳定性结果。我们的结果揭示了以下事实：某些脉冲可能会使不稳定的系统变得稳定，并且在适当的脉冲扰动下，受电弓方程组也可能继承受电弓方程的稳定性。

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来源
《Applied mathematics letters》 |2013年第12期|共6页
作者
Guan K.; Luo Z.;
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正文语种 eng
中图分类应用数学;
关键词
Impulse; Lyapunov function; Pantograph equation; Razumikhin technique; Stability;

机译：脉冲;Lyapunov函数;受电弓方程;Razumikhin技术;稳定性;

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1. Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions [J] . Ali Arshad, Mahariq Ibrahim, Shah Kamal, Advances in Difference Equations . 2021,第a期

机译：脉冲条件诱导局部隐式分数微分方程初值问题的稳定性分析
2. Existence and Uniqueness of Solutions for Coupled Impulsive Fractional Pantograph Differential Equations with Antiperiodic Boundary Conditions [J] . Karim Guida, Lahcen Ibnelazyz, Khalid Hilal, Advances in Mathematical Physics . 2021,第a期

机译：抗贫血边界条件耦合脉冲分数耦合仪差分方程的存在性和唯一性
3. Asymptotic constancy for a system of impulsive pantograph equations [J] . Bereketoglu H., Karakoc F. Acta mathematica Hungarica . 2015,第1期

机译：脉冲受电弓方程组的渐近常数
4. On the Stability of Differential Equations with Impulsive Effects at the Arbitrary Impulsive Moments [C] . Katya Dishlieva International Conference "Applications of Mathematics in Engineering and Economics" . 2015

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5. The Pantograph Equation in Quantum Calculus [D] . Griebel, Thomas. 2017

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6. Machine Learning for Modeling the Singular Multi-Pantograph Equations [O] . Amirhosein Mosavi, Manouchehr Shokri, Zulkefli Mansor, 2020

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7. Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions [O] . Arshad Ali, Ibrahim Mahariq, Kamal Shah, 2021

机译：脉冲条件诱导局部隐式分数微分方程初值问题的稳定性分析

Stability results for impulsive pantograph equations

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