一类非线性系统解的有界性研究

The Boundedness of a Kind of Nonlinear System Solution

用构造V函数的方法研究非自治的、非线性系统解的有界性x=h(y), y=-f(x)h(y)-p(t)g(x)+e(t),并建立了此系统有界性解的充分必要条件,包含了文[1]的有界性结果。y=-f(x)h(y)-p(t)g(x)+e(t)。

This paper studies the boundedness of the non-autonomous nonlinear system solutions =h(y),=-f(x)h(y)-p(t)g(x)+e(t) by using a V-function and obtained the sufficient and necessary conditions for all boundedness solutions of the system, including the boundedness result in the literature[1].