| 一类非自治时滞非局部模型的一致吸引子 |
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| 引用本文： | 李祥,李志祥.一类非自治时滞非局部模型的一致吸引子[J].应用数学,2009,22(3). |
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| 作者姓名： | 李祥 李志祥 |
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| 作者单位： | 国防科技大学理学院数学与系统科学系,湖南,长沙,410073 |
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| 摘 要： | 本文研究了一类具有非局部反应项的非自治时滞偏微分方程的长时间性态,利用平移紧函数的性质,将相空间扩展使得非自治系统生成的过程提升为半群,再利用半群理论证明了一致吸引子的存在性.
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| 关 键 词： | 平移紧 (H×Σ H)连续 一致吸引子 |
The Uniform Attractors for a Class of Non-autonomous Non-local Models with Delays |
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| LI Xiang,LI Zhi-xiang.The Uniform Attractors for a Class of Non-autonomous Non-local Models with Delays[J].Mathematica Applicata,2009,22(3). |
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| Authors: | LI Xiang LI Zhi-xiang |
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| Abstract: | We study the long time behavior of a non-autonomous delayed nonlocal PDE model. By extending the phase space via the translation compactness of the nonlinear term depends on time in special space,we reduce the process to semigroup in extended phase space, then we prove the existence of the uniform attractor via the theory of semigroup. |
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| Keywords: | Uniformly compact (H×Σ H) continuous Uniform attractor |
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