一类四阶非线性微分方程解的有界性及稳定性(英文)

The Boundedness and the Stability of Solutions for a Class of Fourth Order Nonlinear Differential Equations

中文关键词:  非线性微分方程  Liapunov函数  渐近稳定性  有界性

英文关键词:nonlinear differential equation  Liapunov function  asymptotic stability  boundedness.

中文摘要:

      运用Liapunov函数方法,研究了一类四阶非线性微分方程解的有界性及稳定性,得到了解的有界性及零解的全局渐近稳定性的充分条件。

英文摘要:

      In this paper, the boundedness and the stability of solutions for a class of fourth order nonlinear differential equations are studied by using the method of Liapunov function. The sufficient conditions which guarantee the boundedness and stability of solutions are preasented.