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| 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. |
| 关键词: 常微分方程组 周期解 临界点理论 |
| DOI： |
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| The Existence of Periodic Solutions for Non-autonomous Ordinary Differential Equation Systems |
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Zhang Shen-gui
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| Abstract: |
| In this paper, we investigate the existence 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. |
| Key words: ordinary differential equation systems periodic solutions critical point theory. |
