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全空间中带时滞的反应扩散方程组

Diffusion-Reaction Systems with Time Delays in R^n Domain
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摘要 文应用上下解的方法以及单调迭代序列的积分表达式,证明了在半空间R^n中耦合的时滞反应扩散方程组全局解的存在唯一性,并且用它解决了一类特殊的、Volterra-Lotka模型的解的存在性问题. By the method of upper and lower solitions and the integral represention of its associated monotone iterative sequences, this paper gives the existence and uniquiness of a solution to a coupled boundary time delays reaction diffusion system in R^n. Moreover, an application is given to a special Volterra-Lotka model.
作者 田灿荣
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第3期539-546,共8页 数学研究与评论(英文版)
基金 国家自然科学基金(10171088)
关键词 反应扩散方程组 时滞 上下解 Volterra-Lotka竞争模型 Diffusion-Reaction time delay upper and lower solution Volterra-Lotka model.
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参考文献7

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二级参考文献1

  • 1P. K. Tapaswi,A. Mukhopadhyay. Effects of environmental fluctuation on plankton allelopathy[J] 1999,Journal of Mathematical Biology(1):39~58

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