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二阶脉冲时滞微分方程的振动性

Oscillatory Solution to the Second Order Nonlinear Delay Differential Equation with Impulses
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摘要 文章对二阶脉冲时滞微分方程的振动性作了研究,利用方程中导数符号之间的关系得到了方程的几个新的振动准则,并通过例子验证,说明文中得出的结果改进了已有文献中出现的结果. Some new oscillatory rules of the oscillatory solution to the second order nonlinear differential equation with impulse are obtained by the connection of derivative appeared in the equation.Some examples are given and showed that our results improve the conclusions obstained in the literature.
作者 贾对红
机构地区 长治学院数学系
出处 《山西师范大学学报(自然科学版)》 2010年第1期42-45,共4页 Journal of Shanxi Normal University(Natural Science Edition)
关键词 脉冲微分方程 时滞微分方程 振动性 impulsive differential equation delay differential equation oscillation
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参考文献5

  • 1Bainov D D, Dimitrova M B. Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant cocfficients[ J]. Rocky Mountain J Math 1997, 27(4) : 1027 - 1040.
  • 2Oshnitsky A D, Drakhlin M. Nonoscillation of first order impulsive differential equation with delay[ J ]. J Math Annal Appl, 1997, 206:254 - 269.
  • 3Shen Jianhua. The nonoscillation solutions of delay differential equations with impulses [ J ]. Appl Math Comput, 1996,77 (2 - 3 ) : 153 - 165.
  • 4Peng Mingshu, Ge Weigao. Oscillation criteria for second order nonlinear differential equations with impulses [ J ]. Compu Math Appl, 2000,39: 217 - 225.
  • 5Bainov D D, Simeonov P S. Impulsive differential equations: Asymptotic properties of the solutions [ M ]. Singapore: World Scientific, 1994.

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