研究非自治n维Duffing系统周期解的存在性问题.在具有部分周期位势和次线性非线性项时,将这类系统的周期解转化为定义在一个适当空间上泛涵的临界点,然后利用临界点理论建立了此类系统周期解的存在性结果.
In this paper, we investigate the existence of periodic solutions for nonautomous n-dimessionssystem of Duffing Type with partially periodic potential and sublinear nonlinearity, we convert periodicsolutions of the system into the critical points of a functional defined on a proper space, and prove that thereexistence of periodic solutions by critical point theory.