| 具有时滞的非线性微分方程的概周期解的存在性及唯一性 |
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| 引用本文： | 王全义.具有时滞的非线性微分方程的概周期解的存在性及唯一性[J].数学学报,1999,42(3):511-518. |
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| 作者姓名： | 王全义 |
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| 作者单位： | 华侨大学数学系,泉州,362011 |
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| 基金项目： | 福建省自然科学基金,国务院侨办科研基金 |
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| 摘 要： | 本文研究了一类具有时滞的非线性微分方程的有界解及概周期解的存在性及唯一性问题。利用变量替换和不动点方法及逼近法，我们得到了此类方程有界解和概周期解的存在性及唯一性的一些有趣的新结果。我们的结果大大改进和推广了文［２］的主要结果。
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| 关 键 词： | 有界解，概周期解，不动点方法 |
| 修稿时间： | :1998-01-2 |
The Existence and Uniqueness of Almost Periodic Solutions forNonlinear Differential Equations
with Time Lag |
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| Wang Quanyi.The Existence and Uniqueness of Almost Periodic Solutions forNonlinear Differential Equations
with Time Lag[J].Acta Mathematica Sinica,1999,42(3):511-518. |
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| Authors: | Wang Quanyi |
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| Institution: | Wang Quanyi(Department of Mothematics, Huaqiao University, Quanzhou
362011, P.R. China)(Fax: 0595-2686969, Email: qgwang@hqu.edn. cn) |
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| Abstract: | This paper deals
with the problems on the existence and uniqueness ofbounded solntions and almost periodic
sofutions for a class of nonlinear differentialequations with time lag. Using the change of variable
and fixed point method andmethod of approximation, we obtain some interesting and new results
on the existenceand uniqueness of bounded solutions and almost periodic solutions of these
equations.Our results improve and extend greatly the main results of 2]. |
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| Keywords: | Bounded solutions Almost periodic sofutions Fixed point method |
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