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The Global Attractor of a Non-Local PDE Model with Delay for Population Dynamics in Rn

The Global Attractor of a Non-Local PDE Model with Delay for Population Dynamics in Rn
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摘要 In this paper, we consider a non-local PDE model with delay for population dynamics in Rn. First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at infinity. Then, we obtain the global attractor by proving w-limit compactness property of the solution operator semigroup. In this paper, we consider a non-local PDE model with delay for population dynamics in Rn. First, we prove the existence and uniqueness of weak solutions under some suitable decayed assumptions on non-local term at infinity. Then, we obtain the global attractor by proving w-limit compactness property of the solution operator semigroup.
作者 Xiang LI Zhi Xiang LI
机构地区 Department of Mathematics and Systems Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第6期1121-1136,共16页 数学学报（英文版）
关键词 Non-local PDE model w-limit compact global attractor Non-local PDE model, w-limit compact, global attractor
分类号 O175 [理学—基础数学] Q141 [生物学—生态学]
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Acta Mathematica Sinica,English Series
2011年 第6期

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