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二阶脉冲中立型阻尼微分方程新的振动性判据

New Oscillation Criteria for Second-order Neutral Impulsive Differential Equations with Damping
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摘要 研究具有阻尼项的脉冲二阶泛函微分方程解的振动性,建立了一些新的解的振动性的充分性判据,推广并改进了已有文献中的相关结果,并加以例证。 In this paper,oscillation criteria is derived for second-order neutral impulsive differential equations with damping term.Some of the known results in the literature are generalized and improved.An example is provided to illustrate the application of the new theorem.
作者 芦伟
机构地区 宿州学院数学与统计学院
出处 《宿州学院学报》 2012年第2期8-11,共4页 Journal of Suzhou University
基金 安徽省教育厅自然科学研究重点项目"具脉冲的非线性时标动力方程若干问题的研究"(KJ2012A265)
关键词 中立型微分方程 脉冲 时滞 阻尼项 振动性 neutral differential equation impulse delay damping term oscillation
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献10

  • 1芦伟.含阻尼项二阶泛函差分方程的振动性质[J].生物数学学报,2011,26(1):87-92. 被引量：4
  • 2王晓静,宋国华.非线性高阶阻尼时滞微分方程的振动定理[J].生物数学学报,2010,25(1):29-34. 被引量：4
  • 3Lakshmikantham V,Bainov DD,Simeonov PS.Theory of impulsive differential equations[]..1989
  • 4Li,W. X.,Yang,C. S.,Ji,H.Oscillation of a class of second-order nonlinear ODE with impulses[].Applied Mathematics and Computation.2003
  • 5Shen J H,,Zou Z R.Oscillation criteria for first-order impulsive differential equations with positive and negative coefficients[].J Computational and Applied Mathematics.2008
  • 6Q. L. Lia,H. Y. Liang.Oscillation of second order self-conjugate differential equation with impulses[].Journal of Mathematical Analysis and Applications.2006
  • 7Bonotto E M,Gimenes L P,Federson M.Oscillation for a second-order neutral differential equation with impulses[].Applied Mathematics and Computation.2009
  • 8M Peng,W Ge,Q Xu.Preservation of nonoscillatory behaviour second-order delay differential equations under implsive perturbations[].Applied Mathematics Letters.2002
  • 9Xiuxiang Liu,Zhiting Xu.Oscillation criteria for a forced mixed type Emden-Fowler equation with impulses[].Applied Mathematics and Computation.2009
  • 10Lu Wei,Ge Weigao,Zhao Zhihong.Oscillatory criteria for third-order nonlinear difference equation with impulses[].Journal of Computational and Applied Mathematics.2010

二级参考文献22

  • 1程金发.二阶泛函差分方程的振动性判别准则[J].数学学报（中文版）,2006,49(2):317-326. 被引量：5
  • 2王长有.含扩散和时滞的偏微分方程解的振动性[J].生物数学学报,2006,21(1):77-80. 被引量：6
  • 3韩振来,孙书荣,时宝.具有连续变量的多时滞二阶非线性中立型差分方程的振动性[J].生物数学学报,2007,22(2):293-297. 被引量：11
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  • 6Yang X J. Oscillation criteria for nonlinear differential equations with damping [J]. Applied Mathematics and Computation, 2003, 136(2-3):549-557.
  • 7Yilmaz Y S, Zafer A. Oscillation of even order nonlinear neutral differential equations with damping [J]. Mathem tical Inequalities & Applications, 1998, 1(3):445-451.
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共引文献4

宿州学院学报
2012年 第2期

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