一类三阶微分方程解的一致有界性

Uniform Boundness of Solutions of One Class of Third- Order Differential Equations

本文研究了一类三阶微分方程解的一致有界性,运用构造非线性系统的李雅普诺夫函数的方法,得到了解的一致有界性的充分条件.

In this paper, we discuss the uniform boundness of solutions of one class of third - order differ- ential equations and obtain sufficient conditions of the uniform boundness of solutions by means of the method of constructing Liapunov functions of nonlinear systems.