一类广义Liénard方程极限环的不存在性

On the Nonexistence of Limit Cycles for a Class of Generalized Liénard Equations

利用Cauchy问题解的唯一性,研究了一类二阶非线性微分方程极限环的不存在性,得到了在奇点唯一的条件下极限环的不存在的充分条件,所得结果运用和发展了以往的方法。

In this paper the nonexistence of limit cycles for a class of second order nonlinear differential equations is studied by the method of uniqueness of Cauchy resolution,and some sufficient conditions are obtained when the critical point is unique.The aquired result is applied and developed.