Existence of periodic solution of order one of planar impulsive autonomous system
Existence of periodic solution of order one of planar impulsive autonomous system
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DOI：
10.1016/j.cam.2005.03.003
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发表时间：
2006-02
影响因子：
2.4
通讯作者：
Guangzhao Zeng;Lansun Chen;Lihua Sun
中科院分区：
文献类型：
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作者：
Guangzhao Zeng;Lansun Chen;Lihua Sun
鉴于目前有关状态相关脉冲微分方程的研究都集中在具有显式解的系统上，本文尝试考虑那些具有状态相关脉冲且无显式解的系统。得到了一般平面自治脉冲系统一阶周期解的存在定理，并将其应用于特殊的状态相关脉冲微分方程，得到了该特殊系统一阶周期解存在的具体条件。
Based on the situation that all the recent research about state-dependent impulsive differential equations is focused on systems which have explicit solutions, this paper try to consider those systems with state-dependent impulsion which have not explicit solutions. We get an existence theorem of periodic solution of order one for a general planar autonomous impulsive system, and, by applying it to a special state-dependent impulsive differential equations we get the concrete conditions of existence of one-order periodic solution of that special system.