微分方程=H(Y)-F(X),=-G(X)无限多个极限环的存在性

EXISTENCE OF THE INFINITE LIMIT CYCLES OF DIFFERENTIAL EQUATIONS =H (Y)-F(X), =-G(X)

得到微分方程x=h(y)-F(x),y=-g(x)存在无穷多个极限环的几组充分条件,包含并推广了以往的有关结果。其中一个定理的推论,部分解决了韩茂安在1987年所提出的一个猜测。

Differention Equations x=h (y)-F(x), y=-g(x)are dsic ussed and some sufficient conditions which ensure the existence of infinite limit cycles are obteined. We generalized some results obtained before, and partialy solved a conjecture which was putforward by Dr. Han Maoan in 1987.