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Existence of Periodic Solutions in Impulsive Differential Equations
  
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KeyWord:Impulse; Poincaré-Bohl theorem; Periodic solution; Existence
Author NameAffiliation
Fangfang Jiang School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China 
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Abstract:
      In this paper, we are concerned with the problem of existence of periodic solutions for a class of second order impulsive differential equations. By Poincaré-Bohl theorem, we give several criteria to guarantee that the impulsive differential equation has periodic solutions under assumptions that the nonlinear term satisfies the linear growth conditions. Two specific examples are presented to illustrate the obtained results.