摘要
应用Schauder不动点定理研究二阶微分方程周期解的存在性和唯一性,在右端函数连续可微时,得到了周期解的存在性和唯一性,并对右端函数仅为连续的情形给出了周期解存在的充分条件.
The periodic solutions for second order differential equations were investigated by means of the Schauder＇ s fixed point theorem. The existence and uniqueness of periodic solutions are established when the function f（t,x,x＇） is continuously differentiable. Furthermore, under the condition that the right-hand function is only continuous, we have established the sufficient conditions for the existence of periodic solutions.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2010年第2期229-230,共2页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:J0630104)
