一类二阶具多偏差变元微分方程周期解的存在性  

Existence of Periodic Solutions for A Class of Second-Order Differential Equation With Multiple Deviating Arguments

作　　者：郭承军[1] 王根强[2] 

机构地区：[1]中山大学数学与计算科学学院,广东广州510275 [2]广东技术师范学院计算机系,广东广州510631

出　　处：《中山大学学报（自然科学版）》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)

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.

关 键 词：多偏差 周期解 延拓定理 

分 类 号：O175.1[理学—数学]