| 一类增生扩散型种群细胞中迁移方程的谱问题 |
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| 引用本文： | 王胜华,程国飞.一类增生扩散型种群细胞中迁移方程的谱问题[J].数学物理学报(A辑),2013,33(1):71-77. |
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| 作者姓名： | 王胜华 程国飞 |
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| 作者单位： | 1. 上饶师范学院 江西上饶334001
2. 南昌大学数学系 南昌330047 |
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| 基金项目： | 江西省自然科学基金(2010GZS0185)资助 |
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| 摘 要： | 在Lp(1≤p＜+∞)空间上,研究了一类具年龄结构的增生扩散型种群细胞中具无限周长的迁移方程,讨论了这类方程相应的迁移算子的谱,证明了在某个半平面该迁移算子的谱仅由可数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 细胞周长 迁移方程 一般边界条件 谱分析 |
| 收稿时间： | 2011-05-16 |
| 修稿时间： | 2012-10-09 |
Spectral Problem of|Transport Equations with aProliferating Cell Population |
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| Wang Shenghua
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Cheng Guofei.Spectral Problem of|Transport Equations with aProliferating Cell Population[J].Acta Mathematica Scientia,2013,33(1):71-77. |
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| Authors: | Wang Shenghua Cheng Guofei |
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| Institution: | Shangrao Normal University, Jiangxi Shangrao 334000； Department of Mathematics in Nanchang University, Nanchang 330047 |
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| Abstract: | This paper is to research the transport equations of an age structured proliferating cell population with infinite cycle length in Lp-space (1≤p<+∞). It is discussed the spectral prblem of the transport operators, and it is to prove that the spectrum of the transport operators consists of countable isolate eigenvalues with finite algebraic mutiplicities in half plane. |
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| Keywords: | Cell populationszz Cycle length of cellszz Transport equationzz General boundary conditionszz Spectral analysiszz |
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