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三阶非线性脉冲时滞微分方程解的振动性与渐近性 被引量:2

OSCILLATION AND ASYMPTOTIC BEHAVIORS OF THREE ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATION WITH IMPULSES
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摘要 研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性,得到了一些充分判据. The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
出处 《华南师范大学学报(自然科学版)》 CAS 2004年第2期37-42,共6页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金资助项目(011471) 广东省高校自然科学研究项目(0120)
关键词 三阶非线性方程 脉冲时滞微分方程 振动性 渐近性 functional differential equation impulse oscillation delay asymptotic behavior
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参考文献5

  • 1申建华,庾建设.具有脉冲扰动的非线性时滞微分方程[J].应用数学,1996,9(3):272-277. 被引量:32
  • 2许文杰.三阶脉冲微分方程的振动性与渐近性[J].华南师范大学学报(自然科学版),2001,33(2):59-64. 被引量:14
  • 3CHEN Yong-shao, FENG Wei-zhen. Oscillations of second order nonlinear ODE with impulses[J]. J Math Anal Appl, 1997,210:150-169.
  • 4WANG Gen-qiang. Oscillations of second order differential equations with impulses[ J]. Annals of Differential Fquations, 1998,14:295-306.
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二级参考文献1

共引文献34

同被引文献11

  • 1申建华,庾建设.具有脉冲扰动的非线性时滞微分方程[J].应用数学,1996,9(3):272-277. 被引量:32
  • 2Lakshmikantham V, Bainov D D, Simieonov P S. Theory of impulsive differential equations [M]. Singapore: World Scientific, 1989: 32-33.
  • 3Yan J R, Zhao A M, Zhang Q X. Oscillation properties of nonlinear impulsive delay differential equations and applications to population models [J]. J Math Anal Appl, 2006, 322(1): 359-370.
  • 4Zhao A M., Yan J R. Existence of positive solutions for delay differential equations with impulses [J]. J Math Anal Appl, 1997, 210(2): 667-678.
  • 5Shen J H. Qualitative properties of solutions of second-order linear ODE with impulses [J]. Math Comp Model, 2004, 40(3-4): 337-344.
  • 6Luo J W. Second-order quasilinear oscillation with impulses [J]. Computers Math Applic, 2003, 46(2-3): 279-291.
  • 7Zhang W P, Bi P, Zhu D M. Oscillations of certain second-order nonlinear differential equations with impulses [J]. J East China Normal University: natural science, 2007, 32(3): 39-48.
  • 8Zhang C L, Feng W Z, Yang F J. Oscillations of higher order nonlinear functional differential equations with impulses [J]. Appl Math Comp, 2007, 190(1): 370-381.
  • 9汪小梅,朱华.非线性脉冲发展方程解的存在性和稳定性[J].重庆工学院学报(自然科学版),2009,23(6):136-140. 被引量:1
  • 10许文杰.三阶脉冲微分方程的振动性与渐近性[J].华南师范大学学报(自然科学版),2001,33(2):59-64. 被引量:14

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