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具有脉冲时滞双曲型偏微分方程解的振动性

Oscillation of the Solutions for Delay Hyperbolic Partial Differential Equation with Impulsive
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摘要 运用微分不等式的方法研究了一类具有脉冲时滞变量的双曲型偏微分方程解的振动性,获得了该方程在Robin边值条件和Dirichlet边值条件下解振动的充分条件. 　In this paper,the authors study oscillation of the solutions for a class delay hyperbolic partial differential equation with impulsive by differential inequality.Sufficient conditions for each solution to be oscillation are obtained under Robin and Dirichlet boundary value conditions.
作者 高正晖 罗李平 肖娟
机构地区 衡阳师范学院数学系
出处 《甘肃联合大学学报（自然科学版）》 2007年第5期4-6,11,共4页 Journal of Gansu Lianhe University :Natural Sciences
基金 湖南省自然科学基金资助项目(05JJ40008) 湖南省教育厅科技研究资助项目(06C189)
关键词 双曲型偏微分方程 脉冲 时滞 振动性 hyperbolic partial differential equation impulsive delay oscillation
分类号 O175.27 [理学—基础数学]
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二级参考文献16

  • 1马晴霞,肖莉,薛秋条.抛物型时滞偏微分方程解振动的充要条件[J].武汉理工大学学报,2004,26(9):87-89. 被引量：6
  • 2Bainov D D, Dimitrova M B, Dishliev A B. Oscillation of the Bounded Solutions of Impulsive Differential-difference Equations of Second Order[J]. Appl Math Comput, 2000,114:61-68.
  • 3Bainov D D, Lakshmikantham V, Simeonov P S. Theory of Impulsive Differential Equations[M]. Singapore: World Scientific, 1989.
  • 4Liu Anping, Xiao Li, Liu Ting. Oscillations of Nonlinear Impulsive Hyperbolic Equations with Several Delays[J]. Electronic Journal of Differential Equations, 2004, (24) : 1-6.
  • 5Luo J W. Oscillation of Hyperbolic Partial Differential Equations with Impulsives[J]. J Comput Appl Math, 2002, 133:309-318.
  • 6Cui B. T. Liu Y. Q. Deng F. Q. Someosillation problems for impulsive hyperbolic differential systems with several delays[J]. J. Comput. Appl. Math. 2003, (146): 667 -679.
  • 7Liu Anping, Xiao Li, Liu Ting, Oscillations of nonlinear impulsive hyperbolic equations with seeral delays, Electronic Journal of Differential Equations [ J ]. 2004.(24): 1 -6.
  • 8Yan J. R. Oscillation properties of a second-order impulsive delay differential equation. [ J] Computers Math. Applic. 2004, (47): 253 -258.
  • 9Luo Y. W. Deng L. H. Osillation Behavior of Solutions for a Class of Delay Impulsive Hyperbolic Functional Differential Equations [ J ]. Journal of Sichuan University.2004, 41(1): 46-51.
  • 10Liu A.P. Xiao L. Liu T. Necessary and sufficient conditions for oscillations for lscillations of parabolic neutral partial diferential equations [ J ]. Annal of Differential Equation. 2003, 19(3): 337 -342.

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甘肃联合大学学报（自然科学版）
2007年 第5期

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