摘要
研究非自治常微分方程组周期解的存在性.当具有线性增长非线性项时,利用临界点理论中的极小作用原理得到了周期解存在性的充分条件,所得结果推广了已有结果.
In this paper,we investigate the existence of periodic solutions for non-autonomous ordinary differential equation systems.With nonlinear item of linear increment,some sufficient conditions for the existence of periodic solutions are obtained by using the least action theorem in critical point theory,and the obtained results expand the existed outcome.
出处
《重庆工商大学学报（自然科学版）》
2013年第3期1-4,共4页
Journal of Chongqing Technology and Business University:Natural Science Edition
基金
国家自然科学基金项目(71261022)
西北民族大学中青年科研项目(12XB38)
关键词
常微分方程组
周期解
临界点理论
ordinary differential equation systems
periodic solutions
critical point theory
