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二阶非线性脉冲方程的振动性 被引量:1

OSCILLATIONS OF SECOND—ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH IMPULSES
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摘要 本文主要就二阶非线性脉冲微分方程的讨论,对高阶脉冲微分方程振动性的研究方法作一些初步的探讨,并对二阶非线性脉冲微分方程的振动性给出充分判据。 This paper is devoted to the study method of oscillations of high-order nonlinear differential equations with impulses. Sufficient conditions are obtaied here to guarantee that a second-order nonlinear differential equation with impulses is oscillatory.
作者 冯伟贞
出处 《华南师范大学学报(自然科学版)》 CAS 1997年第2期76-80,共5页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金
关键词 脉冲方程 常微分方程 振动性 非线性 solution of second-order impulsive differential equation oscillations of solutions oscillation of equation
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同被引文献4

  • 1CECCHIM,MARNIM.Qscillation and nonoscilatory behavior of a second order functional differentional equation[J].Rocky Mount J Math,1922,22:1259-1276.
  • 2CHEN Y S,FENG W Z.Oscillations of second order nonlinear ODE with impulses[J].J Math Appl,1997,210:150-169.
  • 3LUO J W.Oscillations of second nonlinear ordinary differential equations with impulses[J].J Math Appl,1999,240:105-114.
  • 4WANG G Q.Oscillations of second order nonlinear ordinary differential equations with impulses[J].Ann of Diff Eqs,1997,14:295-306.

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