摘要
利用Mawhin重合度拓展定理研究了一类具偏差变元的泛函微分方程x″(t)+h(x(t))f(x′(t))+g(x(t-τ(t)))=p(t)的周期解问题,得到了周期解存在性的若干新结果,推广了已有的结果.
By employing the continuation theorem of coincidence degree theory developed by Mawhin, a kind of functional differential equation with a deviating argument is studied for x″（t）＋h（x（t）f（x＇（t））＋g（x（t-τ（t）））=p（t） . Some new results on the existence of periodic solutions are obtained, which generalizes the known result.
出处
《贵州师范大学学报（自然科学版）》
CAS
2010年第2期75-78,82,共5页
Journal of Guizhou Normal University：Natural Sciences
关键词
周期解
偏差变元
重合度
periodic solution
deviating argument
coincidence degree
