摘要
在L^p(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非光滑边界条件的L-R模型,讨论了这类模型相应的迁移算子的谱分析,得到了该迁移算子的谱在某半平面由可数个具有限代数重数的离散本征值组成等结果.
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.
出处
《应用泛函分析学报》
CSCD
2013年第2期151-156,共6页
Acta Analysis Functionalis Applicata
基金
江西省自然科学基金(20132BAB201002)
江西省教育厅科技项目(GJJ13706)
关键词
种群细胞
细胞周长
L-R模型
非光滑边界条件
谱分析
cell populations
cycle length of cells
L-R moder
unsmooth boundary conditions
spectral analysis
