| 引用本文: | 杨淑芳,王鑫.二阶中立型含逐段常滞量微分方程的伪概周期解的存在性.[J].国防科技大学学报,2005,27(3):120-124.[点击复制] |
| YANG Shufang,WANG Xin.The Existence of Pseudo-almost Periodic Solutions of Second-order Neutral Delay Differential Equations with Piecewise Constant Argument[J].Journal of National University of Defense Technology,2005,27(3):120-124[点击复制] |
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| 二阶中立型含逐段常滞量微分方程的伪概周期解的存在性 |
| 杨淑芳, 王鑫 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 讨论下列中立型含逐段常滞量微分方程的伪概周期解d2/dt2(x(t)+p(t)x(t-1))=qx(2［t+1/2])+g(t,x(t),x［t］)采用不动点定理和构造伪概周期序列的方法，得到了此方程的伪概周期解的存在性，并推广了文献［5～8］中的有关结果。 |
| 关键词: 伪概周期解 伪概周期序列 中立型 逐段常滞量 |
| DOI： |
| 投稿日期：2004-12-07 |
| 基金项目: |
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| The Existence of Pseudo-almost Periodic Solutions of Second-order Neutral Delay Differential Equations with Piecewise Constant Argument |
| YANG Shufang, WANG Xin |
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(College of Science, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| We consider the following neutral functional differential equation with piecewise constant delay:d2/dt2(x(t)+p(t)x(t-1))=qx(2［t+1/2])+g(t,x(t),x［t］)By using fixed point theorem and the method of pseudo-almost periodic sequence, we get the existence of the pseudo-almost periodic solution of this equation. Also, some results in reference ［5～8］ have been extended. |
| Keywords: pseudo-almost periodic solution pseudo-almost periodic piecewise constant delay sequence |
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