多奇点Liènard系统解的有界性及极限环的存在性

THE BOUND OF SOLUTION AND THE EXISTENCE OF LIMIT CYCLES ON Liénard SYSTEM OF SINGULAR POINTS

本文研究系统■具有多个奇点时,其极限环的存在性及解的有界性问题,所得定理的条件较为广泛且很好验证,即使奇点唯一时,其定理的条件也是很弱的,且包含了许多现有同类定理的结果.

The bound of solution and the existance of limit cycles for the system ■ are discussed when it has singular points,the condition of the theorem given here are wider and testedeasily.Even if it has unique singular point,the condition is weaker and includes many present results ofsame kind theorems.