数学物理学报 ›› 2013, Vol. 33 ›› Issue (1): 71-77.

• 论文 • 上一篇    下一篇

一类增生扩散型种群细胞中迁移方程的谱问题

王胜华|程国飞   

  1. 上饶师范学院 江西上饶 334001;南昌大学数学系 南昌 330047
  • 收稿日期:2011-05-16 修回日期:2012-10-09 出版日期:2013-02-25 发布日期:2013-02-25
  • 基金资助:

    江西省自然科学基金(2010GZS0185)资助

Spectral Problem of |Transport Equations with a Proliferating Cell Population

 WANG Sheng-Hua, CHENG Guo-Fei   

  1. Shangrao Normal University, Jiangxi Shangrao 334000; Department of Mathematics in Nanchang University, Nanchang 330047
  • Received:2011-05-16 Revised:2012-10-09 Online:2013-02-25 Published:2013-02-25
  • Supported by:

    江西省自然科学基金(2010GZS0185)资助

摘要:

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.

关键词: 种群细胞, 细胞周长, 迁移方程, 一般边界条件, 谱分析

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.

Key words: Cell populations, Cycle length of cells,  Transport equation, General boundary conditions, Spectral analysis

中图分类号: 

  • 47G20