摘要
In this paper,by using an extension of Mawhin’s continuation theorem and some analysis methods,we study the existence of periodic solutions for the following prescribed mean curvature system d/dtφ(x')+▽W(x)=p(t), where x∈R^n,W∈C^1(R^n,R),p∈C(R,R^n)is T-periodic and φ(x)=x/√1+|x|^2.
基金
supported by the National Natural Science Foundation of China(No.11901004)
the Natural Science Foundation of Anhui Province(No.1908085QA02)
the Key Program of Scientific Research Fund for Young Teachers of AUST(No.QN2018109)
sponsored by the National Natural Science Foundation of China(No.11271197)。