摘要
本文讨论具有任意有限个奇点的一类平面非线性微分方程的解的有界性,得到一切解有界的若干充分条件,放宽了[1]-[3]的某些定理的条件,利用有界性可讨论极限环的存在性。
This paper is concerned with the nonlinear differential systems with finite numbers of singular points in the plane. Sufficient conditions for all solutions of the systems to be bounded are obtained, which improves the relevant results in [l]-[3] . Applications of these boundedness results to the existence of limit cycles for the systems are also discussed.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1989年第2期258-266,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)