| 种群细胞增生中一类迁移算子的谱分析 |
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| 引用本文： | 程国飞,王胜华.种群细胞增生中一类迁移算子的谱分析[J].上饶师范学院学报,2010,30(6):1-4. |
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| 作者姓名： | 程国飞 王胜华 |
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| 作者单位： | [1]南昌大学数学系,江西南昌330047 [2]上饶师范学院,江西上饶334001 |
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| 基金项目： | 江西省自然科学基金，江西省教育厅科技项目 |
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| 摘 要： | 本文在Lp（1 p〈＋∞）空间上,研究了一类具年龄结构的扩散型种群细胞增生中具一般增生规律的迁移方程,讨论了这类方程相应的迁移算子的谱分析,证明了这类迁移算子本征值的存在性,并得到了该迁移算子的谱在右半平面的某区域Γ中仅由有限个具有限代数重数的离散本征值组成等结果。
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| 关 键 词： | 种群细胞 迁移方程 一般边界条件 本征值 |
The Spectrum Analysis of Transport Operators in the Growing Cell Populations |
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| CHENG Guo-fei,WANG Sheng-hua.The Spectrum Analysis of Transport Operators in the Growing Cell Populations[J].Journal of Shangrao Normal College,2010,30(6):1-4. |
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| Authors: | CHENG Guo-fei WANG Sheng-hua |
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| Institution: | 1.Department of Methmetics in Nanchang University,Nanchang Jiangxi 330047,China;2.Shangrao Normal University,Shangrao Jiangxi 334001,China) |
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| Abstract: | The objective of this paper is to research the transport equations of an age structured proliferating cell population in-Lp（1≤P＋∞）space.It is discussed the spectral analysis of transport operators and shown the existence of the eigenvalue,so it is to obtain that the spectrum of the transport operators only consists of finitely isolate eigenvalues with finite algebraic multiplicities in the trip. |
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| Keywords: | Cell populations transport equation general boundary condition eigenvalue |
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