journal6 ›› 2004, Vol. 25 ›› Issue (1): 7-12.

• NSFC成果 • 上一篇    下一篇

二阶中立型含逐段常变量微分方程的概周期解

  

  1. ( 国防科技大学理学院数学与系统科学系, 湖南长沙410073)
  • 出版日期:2004-03-15 发布日期:2012-11-06
  • 作者简介:王鑫( 1978- ) , 黑龙江省哈尔滨市人, 国防科技大学理学院数学与系统科学系硕士研究生, 主要从事动力系统及其应用研究.
  • 基金资助:

    国家自然科学基金资助项目( 60075020)

The Almost Periodic Solution of Two Order Neutral Differential Equation With Piecewise Constant Argument

  1. ( Department of Mathematics and System Science, Science School, National Univ. of Defense Tech. , Changsha 410073, China)
  • Online:2004-03-15 Published:2012-11-06

摘要:讨论二阶中立型含逐段常变量泛函微分方程d2/dt 2 ( x ( t)+0- p(s) x ( t+s)ds) =qx( 2[(t+1)/2] ) + g( t, x ( t),x[t] ) 的概周期解问题. 利用不动点方法及对差分方程构造概周期解, 获得了概周期解存在的充分条件.

关键词: 中立型泛函微分方程, 概周期解, 逐段常滞量

Abstract: In this paper the authors investigate the almost periodic solution of two order neutral functional differential equation with piecewise constant argument . By using fixed point theorem and constructing almost periodic sequence solution for difference equation, the authors get the sufficient condit ions for the existence of the almost periodic solution.

Key words: neutral functional differential equation, almost periodic solution, piecewise constant argument

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