利用临界点理论研究具有部分周期位势的非自治常p-Laplace系统周期解的存在性.在具有p-线性增长非线性项时,根据广义鞍点定理,得到了系统多重周期解存在的充分条件.
By using critical point theory, the authors studied the existence of periodic solutions for non-autonomous ordinary p-Laplacian systems with partially periodic potentials in the cases when the nonlinearity grows p-linearly. Some sufficient conditions for existence of multiple periodic solutions are obtained via the generalized saddle point theorem.