| 二阶中立型含逐段常变量微分方程的概周期解 |
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| 引用本文： | 王鑫,贺明科.二阶中立型含逐段常变量微分方程的概周期解[J].吉首大学学报(自然科学版),2004,25(1):7-12. |
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| 作者姓名： | 王鑫 贺明科 |
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| 作者单位： | ( 国防科技大学理学院数学与系统科学系, 湖南长沙410073) |
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| 基金项目： | 国家自然科学基金资助项目(60075020) |
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| 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),xt] ) 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.
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| 关 键 词： | 中立型泛函微分方程 概周期解 逐段常滞量 |
| 文章编号： | 1007-2985(2004)01-0007-06 |
The Almost Periodic Solution of Two Order Neutral Differential Equation With Piecewise Constant Argument |
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| WANG Xin,HE Ming-ke.The Almost Periodic Solution of Two Order Neutral Differential Equation With Piecewise Constant Argument[J].Journal of Jishou University(Natural Science Edition),2004,25(1):7-12. |
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| Authors: | WANG Xin HE Ming-ke |
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| Institution: | ( Department of Mathematics and System Science, Science School, National Univ. of Defense Tech. , Changsha 410073, China) |
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| 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 conditions for the existence of the almost periodic solution. |
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| Keywords: | neutral functional differential equation almost periodic solution piecewise constant argument |
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