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二阶非线性摄动微分不等式的振动性质

Oscillatory Property for Second Order Differential Inequality With Perturbation
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摘要 研究了一类二阶非线性摄动微分不等式解的振动性质.在一定条件下,应用分类讨论和分析的方法,建立了两个新的振动性定理,推广和改进了已知的结果. This paper is concerned with oscillation proverty of solutions of a class of second order nonlinear differential inequality with perturbation. Two new theorems are established. These results generalize the known results.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第15期213-218,共6页 Mathematics in Practice and Theory
基金 滨州学院基金(BZXYkj0810)
关键词 非线性 摄动微分不等式 振动性质 nonlinear differential inequality with perturbation Oscillation property
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参考文献5

  • 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
  • 2Ceeehi M, Marini M. Oscillatory and nonoseillatory behavior of a second order functional differential equation[J]. Rocky Mount J Math, 1992,22:1259-1276.
  • 3Rogovchenko Yu V. On oscillation of a second order nonlinear delay differential equation [J]. Funkcial Ekvac, 2000,43:1-29.
  • 4Yan Jurang. Oscillation theorems for second order linear differential equations with damping[J]. Proc Amer Math Soc, 1986,98 : 276-282.
  • 5Ladde G S, Lakshmikantham V, Zhang B G. Oscillation Theory of Differential Equations with Deviating Arguments[M]. Marcel Dekker, New York,1987.

二级参考文献5

  • 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
  • 2Rogovchenko Yu V. On oscillation of a second order nonlinear delay differential equation. Funkcial.Ekvac. 2000, 43: 1-29.
  • 3Jurang Yan. Oscillation theorems for second order linear differential equations with damping.Proc. Amer. math. Soc., 1986, 98: 276-282.
  • 4Cecchi M and Marini M. Oscillatory and nonoscillatory behavior of a second order functional differential equation. Rocky Mount. J. Math., 1992, 22: 1259-1276.
  • 5Ladde 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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