细菌种群中一类迁移方程的谱研究

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英文篇名：Spectral Study on a Class of Transport Equations in Bacterial Population 作者：王胜华 ; 凌军 英文作者：WANG Shenghua;LING Jun;Shangrao Normal University;Department of Mathematics,Nanchang University; 关键词：细菌种群模型 ; 一般边界条件 ; 迁移算子 ; 谱分析 ; 离散本征值 英文关键词：bacterial population model;;generalized boundary conditions;;transport operator;;spectral analysis;;discrete eigenvalues 中文刊名：SRSX 英文刊名：Journal of Shangrao Normal University 机构：上饶师范学院;南昌大学数学系; 出版日期：2019-06-28 出版单位：上饶师范学院学报 年：2019 期：v.39;No.233 基金：国家自然科学基金资助项目(11461055);; 江西省教育厅科技项目(GJJ170927) 语种：中文; 页：SRSX201903002 页数：6 CN：03 ISSN：36-1241/C 分类号：7-11+16

摘要

在L~1空间上研究了一类在一般边界条件下具结构化的细菌种群模型,在较筒单的条件下讨论了这类模型相应的迁移方程的谱问题,得到了该迁移算子的谱仅由有限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 a class of structured bacterial population models general boundary conditions in L~1 space,and discuss the spectral problems of the corresponding transport equations of this kind of model under the condition of a more simple one. It is obtained that the spectrum of the transport operators consists of only finite discrete eigenvalues with finite algebraic multiplicities in the right half plane and so on.

引文

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