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二阶脉冲时滞微分方程解的渐近性态 被引量:1

ASYMPTOTIC BEHAVIORS OF SOLUTIONS OF SECOND ORDER DELAY DIFFERENTIAL EQUATION WITH IMPULSE
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摘要 主要研究了一类二阶脉冲时滞微分程非振动解的渐近性态 ,得到了其非振动解有界或趋于零的充分条件 。 Sufficient conditions about the bounds of the nonoscillatory solutions of a second order impulsive delay differential equation are obtained.There are several sharp conditions to guarantee the solutions tending to zero.The results indicate sufficiently the effect of the impulse on the equation.
作者 王春华
出处 《华南师范大学学报(自然科学版)》 CAS 2002年第2期63-67,共5页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金资助项目 (980 0 18) 广东省教育厅自然科学重点研究项目 (0 12 0 )
关键词 二阶脉冲时滞微分方程 渐近性态 有界性 impulse second order delay differential equation nonoscillation asymptotic behavior boundedness
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二级参考文献7

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共引文献12

同被引文献7

  • 1LAKSHMIKANTHAM V, BAINOV D D, SIMEONOV P S. Theory of Impulsive Differential Equations[ M]. Singapore: World Scientific, 1989.
  • 2K Wong M, ZETTL A. Asymptotically constant functions and second order liner oscillation[ J]. J Math Anal Appl, 1983, 93:475 -494.
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  • 5SIMEONOV P S, BAINOV D D. On the asymptotic equivallence of systems with impulse effect[J]. J Math Anal Appl, 1982, 135:591- 610.
  • 6陈永劭,冯伟贞.二阶脉冲微分方程的解的渐近性态[J].华南师范大学学报(自然科学版),2000,32(1):13-17. 被引量:13
  • 7宋淑红,丁玮,蔡果兰.二阶脉冲微分方程的解的渐近性态[J].山西大学学报(自然科学版),2001,24(3):189-190. 被引量:5

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