摘要
本文研究方程Ax=V(x)+f(t)(HS)的周期解存在性问题,在一般条件下得到了无穷多个互不相同的周期与广义周期解,其中x=(x1,…,xn),xi∈R2(1≤i≤n),A是R2×…×R2上的正定矩阵,V∈C1(R2\{0}×…×R2\{0},R),f是以T为周期的可积函数.
? This paper studies the existence of T-periodic solutions of the system A = V(x) + f(t)(HS)where A is a positive definite matrix on R2×…×R2 ,and V is singular with unbounded singular sets, and prove the existence of infinitely many Tperiodic and generalized Tperiodic solutions.