【摘要】 本文研究了一类比Liénard方程更为广泛的非线性微分方程组极限环的存在性与唯一性问题,得到了一些保证极限环存在,唯一的充分条件,这些条件既简单而又易于验证.一些已知的关于Liénard方程极限环的存在性与唯一性的优秀结果是本文所获结论的特殊情形.更多还原

【Abstract】 We have studied the existence and uniqueness of limit cycles for the non-linear generalized Liénard type differential system:?Some sufficient conditions are established to ensure that the system has at least one limit cycle, or has at most one limit cycle, which improve some former results.更多还原