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.
This paper is to research the transport equations of an age structured proliferating cell population with infinite cycle length in L^P-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.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2013年第1期71-77,共7页
Acta Mathematica Scientia
基金
江西省自然科学基金(2010GZS0185)资助
关键词
种群细胞
细胞周长
迁移方程
一般边界条件
谱分析
Cell populations
Cycle length of cells
Transport equation
General boundary conditions
Spectral analysis.
