| 时滞偏微分方程行波解的持久性 |
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| 引用本文： | 杨道明,马满军. 时滞偏微分方程行波解的持久性[J]. 应用数学, 2010, 23(3) |
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| 作者姓名： | 杨道明 马满军 |
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| 作者单位： | 1. 南华大学数理学院,湖南,衡阳,421001
2. 南华大学数理学院,湖南,衡阳,421001;中国计量学院理学院,浙江,杭州,310018 |
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| 摘 要： | 本文利用扰动法、Fredholm理论及经典的不动点定理,研究了时滞偏微分方程行波解的存在性.我们的结果表明,对于没有时滞时任意有意义的波速,在小时滞扰动下行波解具有持久性.
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| 关 键 词： | 行波解 时滞偏微分方程 扰动方法 Fredholm理论 |
Persistence of Traveling Front Solutions in a Partial Differential Delay Equation |
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| YANG Daoming,MA Manjun. Persistence of Traveling Front Solutions in a Partial Differential Delay Equation[J]. Mathematica Applicata, 2010, 23(3) |
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| Authors: | YANG Daoming MA Manjun |
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| Abstract: | In this paper we investigate the existence of traveling fronts for a partial differential equation with time delay by applying perturbation method, Fredholm theory and fixed-point theorem. We show that for any wave speed in the nondelay problem, the traveling front persists under the introduction of delay. |
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| Keywords: | Traveling wavefronts Partial differential delay equations Perturbation method Fredholm theory |
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