非自治常p-Laplacian系统的多重周期解  

Multiple Periodic Solutions to Nonautonomous Ordinary p-Laplacian Systems

作　　者：张申贵[1] 

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《河北科技师范学院学报》2013年第2期48-52,共5页Journal of Hebei Normal University of Science & Technology

基　　金：国家自然科学基金项目(项目编号:31260098);西北民族大学中青年科研项目(项目编号:12XB38)

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-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.

关 键 词：常微分p-Laplacian系统 p-次线性增长 部分周期位势 临界点理论 

分 类 号：O175.25[理学—数学]