摘要
平行于非共振高阶Duffing方程周期解问题的研究 ,利用拓扑度方示和Schwarz不等式 ,给出一类非线性奇数阶常微分方程周期解的存在惟一性定理 .
Sufficient conditions for the existence and uniqueness of an odd order nonlinear differential equations are obtained.This work corresponds to the study of the boundary ralue problems on high order Duffing equations with nonresonance.The proofs are based on the topological degree theory and Schwarz inequality.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2002年第2期6-10,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目 ( 1 0 1 0 1 0 30 )
关键词
周期解
2n+1阶微分方程
拓扑度理论
periodic soution
(2 n +1)th order differential equation
topological degree theory
