Analysis of the Solution to A Labelled Cell Populations System

摘要：

In this paper, we study the solution to a labelled cell population system with variable coefficients andthen investigate the expansion of the solution to the system. Using the spectral analysis technique, we show that the spectrum consists of all eigenvalues of the operator A determined by the system and distributes in a strip parallel to the imaginary axis. In particular, we give asymptotic expression of all eigenvalues. Furthermore, we prove that there is a sequence of generalized eigenfunctions of A that forms a Riesz basis for the Hilbert space. Hence we can expand the solution of the system by using its eigenfunctions and assert that the system associates a 0 C -group.

作者: Yunlan Chen Genqi Xu

作者单位: Department of Mathematics, School of Science and Department of Automation, School of Electrical Engineering or Automation, Tianjin University Tianjin, China

会议类型: 国际会议

会议名称: The 4th International Conference on Bioinformatics and Biomedical Engineering(第四届IEEE生物信息与生物医学工程国际会议 iCBBE 2010)

会议地点: 成都

会议语种:英文

页码: 1-7

在线出版日期: 2010-06-18（万方平台首次上网日期，不代表论文的发表时间）