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具脉冲时滞的Duffing型方程的周期解
引用本文:李建利,申建华.具脉冲时滞的Duffing型方程的周期解[J].应用数学学报,2005,28(1):124-133.
作者姓名:李建利  申建华
作者单位:湖南师范大学数学系,长沙,410081
基金项目:国家自然科学基金(10071018)资助项目.
摘    要:利用Mawhin重合度理论,研究了脉冲时滞Duffing型方程的周期解的存在性.本 文结果即使对相应的非脉冲Duffing型方程也是新的.

关 键 词:重合度  Duffing型方程  周期解  脉冲时滞

PERIODIC SOLUTIONS OF THE DUFFING EQUATION WITH DELAYS AND IMPULSES
LI JIANLI SHEN JIANHUA.PERIODIC SOLUTIONS OF THE DUFFING EQUATION WITH DELAYS AND IMPULSES[J].Acta Mathematicae Applicatae Sinica,2005,28(1):124-133.
Authors:LI JIANLI SHEN JIANHUA
Abstract:By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for Duffing equation with impulses and delays. Even if the equation has no impulses, our results are new.
Keywords:coincidence degree  Duffing equation  periodic solution  impulse and delay
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