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潘诗雨，汪娜. 一类n阶非线性微分方程零解的稳定性[J]. 应用技术学报，2021，21（3）：268-274.. DOI: 10.3969/j.issn.2096-3424.2020.051
引用本文: 潘诗雨，汪娜. 一类n阶非线性微分方程零解的稳定性[J]. 应用技术学报，2021，21（3）：268-274.. DOI: 10.3969/j.issn.2096-3424.2020.051
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PAN Shiyu, WANG Na. The Stability of Zero Solution for a Class of Nth-Order Nonlinear Differential Equations[J]. Journal of Technology, 2021, 21(3): 268-274. DOI: 10.3969/j.issn.2096-3424.2020.051
Citation: PAN Shiyu, WANG Na. The Stability of Zero Solution for a Class of Nth-Order Nonlinear Differential Equations[J]. Journal of Technology, 2021, 21(3): 268-274. DOI: 10.3969/j.issn.2096-3424.2020.051
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一类n阶非线性微分方程零解的稳定性

The Stability of Zero Solution for a Class of Nth-Order Nonlinear Differential Equations

    摘要
  • 摘要: 讨论了一类n阶非线性微分方程零解的稳定性。通过能量度量算法及李雅普诺夫定理首先构造V函数，给出原问题零解稳定的充分条件，最后给出实例验证结果。

     

    Abstract: The stability of zero solution for a class of nth-order nonlinear differential equations was discussed. By means of energy measurement algorithm and Lyapunov theorem, the V-function was constructed and the sufficient condition for the stability of the zero solution of the original problem are given. Finally, an example was given to verify results.

     

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