| (H)类半群的吸引子的唯一性 |
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| 引用本文： | 葛根哈斯.(H)类半群的吸引子的唯一性[J].内蒙古大学学报(自然科学版),2000,31(3). |
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| 作者姓名： | 葛根哈斯 |
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| 作者单位： | 内蒙古大学数学系,内蒙古,呼和浩特,010021 |
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| 摘 要： | 对于B-耗散(或有界且逐点耗散)的连续(H)类半群的极小全局B-吸引子M及极小全局吸引子(M)证明了:如果半群在M上是逐点可逆的且M的稠子集上的运动是Poisson稳定的,则有M≡(M).
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| 关 键 词： | 半群 吸引子 Poisson稳定性 |
Uniqueness of Attractors for Semigroups of Class(H) |
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| Gegenhasi.Uniqueness of Attractors for Semigroups of Class(H)[J].Acta Scientiarum Naturalium Universitatis Neimongol,2000,31(3). |
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| Authors: | Gegenhasi |
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| Abstract: | It is proved that the minimal closed global B-attractor coincides with the minimal closed global B-attractor (M) for the B-dissipative (or bounded and pointwise dissipative) continuous semigroup of class(H)if the semigroup is pointwise invertible on M and positively Poisson-stable points are dense in M. |
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| Keywords: | semigroup attractor Poisson-stability |
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