期刊文献+

一类二阶非线性摄动微分方程解的渐近性质

Asymptotic behavior of nonoscillatory 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非振动解的渐近性质,建立了三个新的渐近性定理,推广和改进了一些已知的结果。 The asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear differential equation with perturbation was studied, three new asymptotic theorems were established, and some known results were extended and improved.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2009年第2期19-23,共5页 Journal of Shandong University(Natural Science)
关键词 摄动微分方程 渐近性质 非振动解 nonlinear differential equation with perturbation asymptotic behavior nonoscillatory solution
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参考文献6

  • 1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
  • 2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
  • 3CECCHI M, MARINI M. Oscillatory and nonoscillatory behavior of a second order functional differential equation [ J ]. Rocky Mount J Math, 1992, 22:1259-1276.
  • 4YU V Rogovchenko. On oscillation of a second order nonlinear delay differential equation[J]. Funkcial Ekvac, 2000, 43:1-29.
  • 5YAN J R. Oscillation theorems for second order linear differential equations with damping[J]. Proc Amer math Soc, 1986, 98:276-282.
  • 6LADDE G S, LAKSHMIKANTHAM V. ZHANG B G. Oscillation theory of differential equations with deviating arguments[M]. New York: Marcel Dekker, 1987.

二级参考文献6

  • 1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
  • 2燕居让,Proc Amer Math Soc,1986年,98卷,276页
  • 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.

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