摘要
本文利用Fourier级数理论和Mawhin重合度拓展定理研究一类中立型泛函微分方程的周期解存在性问题.在其对应的特征方程具有零特征根的条件下,得到了周期解存在性的新结果.
In this paper, the authors employ the theory of Fourier expansions and Mawhin's continuation theorem to study the existence of periodic solutions for a kind of neutral functional differential equation as follows
Some new results on the existence of periodic solutions are obtained provided the characteristic equation subject to the above equation has zero root.
出处
《数学年刊(A辑)》
CSCD
北大核心
2004年第5期645-652,共8页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.19871005)
安徽省教育厅自然科学基金(No.2002kj133)资助的项目.