摘要
笔者利用重合度原理研究一类二阶n-维中立型微分系统(d2)/(dt2)(x(t)-Cx(t- ))+d/(dt)gradF(x(t))+gradG(x(t-τ(t)))=p(t)的周期解问题,得到了周期解存在性的新结果,推广了已有工作中相应的结论.
By using the coincidence degree principle, the authors study periodic solutions for the second order n-dimensional neutral differential system (d2)/(dt2)(x(t)- Cx(t-)) + d/(dt)gradF(x(t))+gradG(x(t-τ(t))) = p(t). Some sufficient conditions to guarantee the existence of periodic solutions to the system are obtained. Meanwhile, our results improve and extend the corresponding ones already known.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第3期601-610,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(19871005)
安徽省教育厅自然科学基金资助项目(2002kj133)
关键词
重合度原理
中立型微分系统
周期解
Coincidence degree principle
Neutral differential system
Periodic solution
