期刊文献+

二阶非线性摄动微分方程解的振动性与渐近性

Oscillatory and Asymptotic Behavior of Solutions of Second Order Nonlinear Differential Equation with Perturbation
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摘要 研究了一类二阶非线性摄动微分方程解的振动性与渐近性,建立了四个新的振动性与渐近性定理,推广和改进了已知的一些结果. We present some criteria for the oscillation and asymptotic of a class of the second order nonlinear differential equation with Perturbation. The results generalize the known results.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第13期185-191,共7页 Mathematics in Practice and Theory
基金 山东省教育厅科研发展计划项目(J07WH01)
关键词 二阶 非线性 摄动微分方程 振动性 渐近性 second order nonlinear differential equation with perturbation oscillation asymptotic
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参考文献7

  • 1张全信,燕居让.一类二阶非线性阻尼微分方程的振动性[J].系统科学与数学,2004,24(3):296-302. 被引量:35
  • 2张全信,燕居让.二阶非线性阻尼微分方程解的振动性质[J].数学杂志,2007,27(4):455-460. 被引量:14
  • 3Cecchi M, Marini M. Oscillatory and nonoscillatory behavior of a second order functional differential equation[J]. Rocky Mount J Math, 1992.22(4) : 1259-1276.
  • 4Yu V Rogovchenko. On oscillation of a second order nonlinear delay differential equation[J]. Funkcial Ekvac, 2000,43(1) :1-29.
  • 5Jurang Yan. Oscillation theorems for second order linear differential equations with damping[J]. Proc Amer Math Soc, 1986,98(2) : 276-282.
  • 6Ladde G S, Lakshmikantham V. Zhang B G. Oscillation Theory of Differential Equations with Deviating Arguments[M]. Marcel Dekker, New York,1987.
  • 7张全信.二阶非线性摄动常微分方程的振动性定理.数学的实践与认识,1988,18(4):90-91.

二级参考文献10

  • 1张全信,燕居让.一类二阶非线性阻尼微分方程的振动性[J].系统科学与数学,2004,24(3):296-302. 被引量:35
  • 2燕居让,张全信.二阶非线性阻尼常微分方程的振动性定理[J].系统科学与数学,1993,13(3):276-278. 被引量:16
  • 3Rogovchenko Yu V. On oscillation of a second order nonlinear delay differential equation. Funkcial.Ekvac. 2000, 43: 1-29.
  • 4Jurang Yan. Oscillation theorems for second order linear differential equations with damping.Proc. Amer. math. Soc., 1986, 98: 276-282.
  • 5Cecchi M and Marini M. Oscillatory and nonoscillatory behavior of a second order functional differential equation. Rocky Mount. J. Math., 1992, 22: 1259-1276.
  • 6Ladde G S, Lakshmikantham V, and Zhang B G. Oscillation Theory of Differential Equations with Deviating Arguments. Marcel Dekker, New York, 1987.
  • 7Cechi M.,Marini M..Oscillatory and nonoscillatory behavior of a second order functional differential equation[J].Rocky Mount.J.Math.,1992,22(4):1259-1276.
  • 8Rogovchenko Yu.V..On oscillation of a second order nonlinear delay differential equation[J].Funkcial.Ekuac.2000,43:1-29.
  • 9Yan J.R..Oscillation theorems for second order Linear differential equations wkh damping[J].Proc.Amer.Math.Soc,1986,98:276-282.
  • 10Ladde G.S.,Lakshmikantham V.,Zhang B.G..Oscillation Theory of Differential Equations with Deviating Arguments[M].New York:Marcel Dekker,1987.

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