摘要:研究了非自治常微分p—Laplacian系统的周期解的存在性。当具有p一次线性增长非线性项和部分周期位势时,利用临界点理论中的广义鞍点定理得到了系统周期解存在性的充分条件,所得结果推广了已有结果。
The existence of periodic solutions were investigated for nonautonomous ordinary p-Laplacian sys- tems. With p-sublinear nonlinearity and partially periodic potential, some sufficient conditions for the exist- ence of periodic solutions were obtained by using the generalized saddle point theorem in critical point theory, and this results improve the existing ones.