非线性方程极限环存在性的另一类情况

Another Case of Existence of Limit Cycles for a Nonlinear Equation

本文讨论了非线性方程dx/st=h(y)-F(x),dy/st=-g(x)的极限环存在性的另一类情况. 即去掉了G(±∞)的假设,该方程的极限环的存在性问题.

This paper discusses the existence of the limit cycles for the nonlinear equation: h(y) - F(x), dy/dt = -g(x). It is the another case without the hypothesic G(±∞).