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摘要: |
本文利用变分法研究了带阻尼项的脉冲系统的周期解.采用一种新的方法,在一些条件下证明了带周期边界条件的脉冲系统存在临界点.本文不仅推广了已有的结果而且还丰富了研究脉冲系统的方法. |
关键词: 临界点 脉冲 周期边界 限制 |
DOI: |
分类号:O175.13;O176.3 |
基金项目:Supported by National Natural Science Foundation of China (11501308). |
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PERIODIC SOLUTIONS OF DAMPED IMPULSIVE SYSTEMS |
JIANG Li-xin,DING Wei
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Abstract: |
In this paper, we study the existence of periodic solutions of damped impulsive problems via variational method. By presenting a new approach, we obtain the critical points of impulsive systems with periodic boundary under some assumptions, which generalizes the known results and enriches the research methods of impulsive problems. |
Key words: critical points impulses periodic boundary constraint |