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带阻尼项的脉冲系统的周期解
姜黎鑫1, 丁卫2
1.南通师范高等专科学校数理系, 江苏 南通 226006;2.南通大学理学院, 江苏 南通 226007
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).
PERIODIC SOLUTIONS OF DAMPED IMPULSIVE SYSTEMS
JIANG Li-xin1, DING Wei2
1.Department of Mathematics and Physics, Nantong Normal College, Nantong 226006, China;2.School of Sciences, Nantong University, Nantong 226007, China
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