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

PAN Shiyu; WANG Na

doi:10.3969/j.issn.2096-3424.2020.051

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

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

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

PAN Shiyu,
WANG Na

Graphical Abstract

Graphical Abstract

Abstract

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.