L-R Moder of a Proliferating Cell Population with Unsmooth Boundary Conditions

Shenghua Wang, Guo-fei Cheng
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Abstract

The objective of this paper is to research L-R moder of an age structured and infinite cycle length proliferating cell population with unsmooth boundary conditions in L~p-space(1≤p+∞).It is discussed the spectral analysis of corresponding transport operators for this moder,and it is to obtain that the spectrum of the transport operators consists of countable isolate eigenvalues with finite algebraic mutiplicities in half plane.
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非光滑边界条件下细胞增殖群体的L-R模型
本文的目的是研究L~p空间(1≤p+∞)中具有非光滑边界条件的年龄结构无限周期增殖细胞群的L- r模型。讨论了该模型对应输运算子的谱分析,得到了该输运算子的谱由半平面上具有有限代数倍数的可数孤立特征值组成。
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