基于软组织的一种四阶微分方程零解稳定性  

Zero-Solution Stability of a Fourth-Order Differential Equation Based on Soft Tissue

作　　者：毛荣生 胡继文[1] 

机构地区：[1]南华大学数理学院,湖南 衡阳

出　　处：《应用数学进展》2023年第11期4672-4678,共7页Advances in Applied Mathematics

摘　　要：本文主要讨论由软组织模型得到的一种四阶非线性微分方程零解的稳定性,通过使用能量度量算法构造该方程的Lyapunov函数,进而给出方程零解的稳定性的充分条件。In this paper, we mainly discuss the stability of the zero solution of a fourth-order nonlinear differ-ential equation obtained from the soft tissue model. By using the energy metric algorithm, we con-struct the Lyapunov function of the equation, and then give the sufficient conditions for the stability of the zero solution.

关 键 词：非线性微分方程 能量度量算法 稳定性 LYAPUNOV函数 

分 类 号：O17[理学—数学]