一类二阶n-维中立型微分系统周期解问题  

On the Existence of Periodic Solutions for a Kind of Second Order n-Dimensional Neutral Differential Systems

作　　者：鲁世平[1] 葛渭高[2] 

机构地区：[1]安徽师范大学数学系,芜湖241000 [2]北京理工大学应用数学系,北京100081

出　　处：《数学学报（中文版）》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)

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.

关 键 词：重合度原理 中立型微分系统 周期解 

分 类 号：O175.6[理学—数学]