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非线性脉冲中立型时滞抛物方程解的振动性质 被引量:7

Oscillation of Solutions of Nonlinear Impulsive Neutral Delay Parabolic Equations
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摘要 研究一类非线性脉冲中立型时滞抛物方程,借助于一阶脉冲中立型微分不等式,获得了该类方程在Robin,Dirichlet边值条件下所有解振动的若干新的充分性判据.所得结果充分反映了脉冲和时滞在振动中的影响作用. A class of nonlinear impulsive neutral delay parabolic equations are studied and some new sufficient criteria for oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary value condition by using impulsive neutral differential inequalities of first order. These results fully reflect the influence action of impulse and delay in oscillation.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第13期174-179,共6页 Mathematics in Practice and Theory
基金 湖南省教育厅资助科研项目(07C164)
关键词 脉冲 非线性 中立型 时滞抛物型方程 振动性 impulse nonlinear neutral type delay parabolic equation oscillation
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  • 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
  • 2唐先华.具变系数时滞微分方程解的振动性[J].数学研究,1998,31(3):290-293. 被引量:2
  • 3Erbe L H,J Austral Math Soc.B,1991年,f32卷,382页
  • 4Zhang L Q,Acta Math Sin New Ser,2000年,43卷,1期,17--26页
  • 5Zhang Y Z,数学学报,1998年,41卷,1期,219--224页
  • 6Erbe L H,J Austral Math Soc.B,1991年,32卷,382--400页
  • 7Ye Q X,反应扩散方程引论,1990年
  • 8Bainov 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.
  • 9Bainov D D, Lakshmikantham V, Simeonov P S. Theory of Impulsive Differential Equations[M]. Singapore: World Scientific, 1989.
  • 10Liu Anping, Xiao Li, Liu Ting. Oscillations of Nonlinear Impulsive Hyperbolic Equations with Several Delays[J]. Electronic Journal of Differential Equations, 2004, (24) : 1-6.

共引文献78

同被引文献51

  • 1张雨田,罗琦.脉冲中立型时滞抛物方程的振动性(英文)[J].数学杂志,2006,26(3):272-276. 被引量:19
  • 2罗李平,欧阳自根.非线性脉冲中立型时滞抛物偏微分方程的振动性[J].吉林大学学报(理学版),2007,45(1):23-28. 被引量:7
  • 3罗李平.非线性脉冲时滞抛物型偏微分方程的强迫振动性[J].应用数学,2007,20(2):357-360. 被引量:10
  • 4Luo Liping,Peng Baiyu,Ouyang Zigen.Oscillation of nonlinear impulsive delay hyperbolic partial differential equations[J].Chin.Quart.J.of Math.,2009,24(3):439-444.
  • 5Liu A P,Ma Q X,He M X.Oscillation of nonlinear impulsive parabolic equations of neutral type[J].Rocky Mountain J.Math.,2006,36(3):1011-1026.
  • 6Li W N,Han M A,Meng F W.Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays[J].Applied Mathematics Letters,2005,18(10):1149-1155.
  • 7Bainov D, Minchev E. Oscillation of the solutions of impulsive parabolic equations[J]. J Comput Appl Math, 1996, 69(2): 207-214.
  • 8Fu X L, Liu X Z. Oscillation criteria for impulsive hyperbolic systems[J]. Dynamics of Continu- ous,Discrete and Impulsive Systems, 1997, 3(2): 225-244.
  • 9Bainov D, Minchev E. Forced oscillation of solutions of impulsive nonlinear parabolic differential- difference equations[J]. J Korean Math Soc, 1998, 35(4): 881-890.
  • 10Luo J W. Oscillation of hyperbolic partial differential equations with impulses[J]. Appl Math Comput, 2002, 133(2-3): 309-318.

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