| Rotenberg模型中一类迁移算子的谱 |
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| 引用本文： | 王胜华,梁珊.Rotenberg模型中一类迁移算子的谱[J].上饶师范学院学报,2012(3):1-6. |
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| 作者姓名： | 王胜华 梁珊 |
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| 作者单位： | 上饶师范学院;南昌大学数学系 |
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| 基金项目： | 江西省自然科学基金资助课题(2010GZS0185) |
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| 摘 要： | 本文在Lp(1≤p<+∞)空间上,研究了种群细胞增生中一类具积分边界条件的Rotenberg模型,讨论了这类模型相应的迁移算子的谱,得到了这类迁移算子的谱在右半平面的某区域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： | Rotenberg模型 迁移算子 积分边界条件 谱分析 本征值 |
Research of a Rotenberg Model in Proliferating Cell Population |
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| WANG Sheng-hua,LIANG Shan.Research of a Rotenberg Model in Proliferating Cell Population[J].Journal of Shangrao Normal College,2012(3):1-6. |
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| Authors: | WANG Sheng-hua LIANG Shan |
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| Institution: | 1.Shangrao Normal University,Shangrao Jiangxi 334000,China;2.Department of Mathematics in Nanchang University,Nanchang Jiangxi 330031,China) |
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| Abstract: | The objective of this paper is to research Rotenberg moder of a proliferating cell population withintegral boundary conditions in Lp-space(1≤p<+∞).It is discussed the spectral analysis of corresponding transport operators for this moder.It is obtained that the spectrum of the transport operators only consisting of-nitely isolate eigenvalues with finite algebraic multiplicities in the trip Γs of right half plan. |
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| Keywords: | Rotenberg’s model transport operators integral boundary conditions spectral analysis eigenvalue |
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