摘要
利用Mawhin延拓定理和最佳不等式研究了一类二阶具多偏差变元的微分方程x″(t)+f(t,x(t),x(t-τ0(t)))x′(t)+∑mi=1βi(t)gi(x(t-τi(t)))=p(t)的周期解问题,得到了存在周期解的充分性结果。进一步对周期解的先验界给出了较好的估计。
By means of Mawhin＇s continuation theorem and sharp inequalities for periodic functions, a second order differential equation with multiple deviating arguments is studied. Sufficient conditions are given for the existence of periodic solutions. Moreover, a better estimate can be obtained for the priori bounds of periodic solutions.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第6期5-9,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(10471155)
关键词
多偏差
周期解
延拓定理
multiple deviating arguments
periodic solutions
Mawhin＇s continuation theorem
