| 具有连续系数的竞争扩散方程组的周期解(英文) |
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| 引用本文： | 李曦,汤燕斌.具有连续系数的竞争扩散方程组的周期解(英文)[J].应用数学,2010,23(4). |
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| 作者姓名： | 李曦 汤燕斌 |
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| 作者单位： | 1. 南昌航空大学数学与信息科学学院,江西南昌,330063
2. 华中科技大学数学与统计学院,湖北武汉,430074 |
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| 摘 要： | 本文讨论了一类变系数的竞争扩散方程组,其中系数关于空间和时间变元连续,而关于时间变元是周期的.通过构造上下解,运用单调迭代方法证明了带Neumann边界条件的竞争扩散方程组正周期解的存在性和唯一性.
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| 关 键 词： | 竞争扩散方程组 周期解 单调迭代方法 渐近行为 |
Periodic Solution for a Competition Diffusion System With Continuous Coefficients |
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| LI Xi,TANG Yanbin.Periodic Solution for a Competition Diffusion System With Continuous Coefficients[J].Mathematica Applicata,2010,23(4). |
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| Authors: | LI Xi TANG Yanbin |
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| Abstract: | In this paper,we consider an N-species competition diffusion system in which the coefficients are positive continuous in x,t and periodic in t.Using a monotone iterative scheme,we prove the existence and uniqueness of positive periodic solutions to the periodic boundary value problem of the competition diffusion system with the Neumann boundary condition. |
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| Keywords: | Competition diffusion-system Periodic solutions Monotone iterative scheme Asymptotic behavior |
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