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一类二阶非线性阻尼微分方程的振动性 被引量:35

OSCILLATION FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
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摘要 研究了一类二阶非线性阻尼微分方程解的振动性,建立了三个新的振动性定理,推广了Cecchi M和Marini M(Rocky Mount J Math,1992,22:1259-1276)的结果. In this paper, we present some criteria for the oscillation of a class of the second order nonlinear differential equations with damping. The results generalize the known results of Cecchi M and Marini M (Rocky Mount J Math 22 (1992), 1259-1276).
出处 《系统科学与数学》 CSCD 北大核心 2004年第3期296-302,共7页 Journal of Systems Science and Mathematical Sciences
关键词 二阶非线性微分方程 振动性 阻尼项 正则解 Second order, nonlinear, differential equation with damping, oscillation.
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参考文献5

  • 1Cecchi M and Marini M. Oscillatory and nonoscillatory behavior of a second order functional differential equation. Rocky Mount. J. Math., 1992, 22: 1259-1276.
  • 2Ladde G S, Lakshmikantham V, and Zhang B G. Oscillation Theory of Differential Equations with Deviating Arguments. Marcel Dekker, New York, 1987.
  • 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.
  • 5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

二级参考文献1

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

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