一类三阶非线性微分方程解的有界性

On the Boundedness of Solution of a Class of Third-Order Nonlinear Differential Equations

研究了一类三阶微分方程解的有界性,通过构造非线性系统的李雅普诺夫函数,得到了解的有界性的充分条件。

In this paper, we disseuss the boundedness of solutions of a class of third—order nonlinear differential equations and obtain sufficient conditions of the boundedness of solutions. By means of the method of constructing Liapunov functions of nonlinear systems.