微分方程\dot\mathrmx=ψ(y)-F(x)，\dot\mathrmy=Q(x,y)极限环的存在性
ON THE EXISTENCE OF LIMIT CYCLES FOR DIFFERENTIAL EQUATION \dot\mathrmx=ψ（y）-F（x）, \dot\mathrmy=Q（x, y）
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摘要: 本文将文3所采用的方法和其他的方法,应用到形式更为一般的微分方程(1)上,除了将3中的主要结果推广到更一般的情形外,还得到方程(1)存在极限环的另一些充分条件。Abstract: In this paper, we consider the existence of the limit cycles for the nonlinear differential equation system of the more general form \dot\mathrmx=ψ（y）-F（x）\dot\mathrmy=Q（x,y）, and obtain some sufficient conditions which ensure that the system has at least one limit cycle. Of the results obtained, theorem 1 generalizes the main result of 3.
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