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一类含有时滞的脉冲微分方程的正周期解 被引量:3

Positive Periodic Solutions to a Kind of Impulsive Differential Equation with Delay
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摘要 研究了一类含有时滞的脉冲微分方程,在系数变号的情形下,利用锥上的不动点定理获得了其正ω-周期解的存在性结果. A kind of impulsive differential equation with delay is studied in this paper,and the positive periodic solutions are obtained by applying the fixed point theorems on cone under the condition of the coefficient changing sign.
出处 《兰州交通大学学报》 CAS 2010年第1期151-153,156,共4页 Journal of Lanzhou Jiaotong University
关键词 正周期解 脉冲 不动点定理 positive periodic solution impulse fixed point theorem cone
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参考文献6

  • 1Juan J. Nieto. Periodic boundary value problems for first-order impulsive ordinary differential equations [J]. Nonlinear Analysis,2002,51:1223-1232.
  • 2Liu Yuji. Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations[J]. Nonlinear Analysis, 2009,70: 2106-2122.
  • 3Wan Aying,Jiang Daqing,Xu Xiaojie. A new existence theory for positive periodic solutions to functional differential equations [J].Computers Math. Applic., 2004,47 : 1257-1262.
  • 4Li Xiaoyue, Zhang Xiaoying, Jiang Daqing. A new existence theory for positive periodic solutions to functional differential equations with impulse effects[J]. Computers Math. Applic., 2006,51 : 1761-1772.
  • 5Li Yongxiang, Liu Zhe. Monotone iterative technique for addressing impulsive integro-differential equations in Banach spaces[J].Nonlinear Analysis, 2007,66: 83- 92.
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