具积分边值条件的迁移方程的性质  

Properties of Transport Equation with Integral Boundary Conditions

作　　者：李惟[1] 王涛[1] 马妍[2] 张欣[3] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025 [2]牡丹江师范学院数学科学学院,黑龙江牡丹江157011 [3]北京联合大学基础部,北京100101

出　　处：《数学的实践与认识》2016年第16期237-241,共5页Mathematics in Practice and Theory

基　　金：哈尔滨师范大学青年学术骨干资助计划项目(KGB201222);牡丹江市社科联社会科学课题项目(150830);牡丹江师范学院科研项目青年项目(QN201606)

摘　　要：在L^1空间上研究了一类增生的细菌群体中具积分边界条件的迁移方程.得出迁移算子是预解正算子,微分算子的共轭算子及共轭算子的定义域.证明了迁移算子的共轭算子定义域的正锥在共轭空间的正锥中共尾.最后证明了迁移算子的增长界等于其谱界.The objective of this paper is to research a transport equation of the integral boundary conditions in L^1 space.We prove that transport operator is resolvent positive operator and obtain the adjoint operator of the differential operator and its domain. Then it was proved that the positive cone of domain of transport operator＇s adjoint operator is cofinal in positive cone of conjugate space.Finally, we obtain that the spectral bound of transport operator equals to its growth bound.

关 键 词：迁移算子 积分边界条件 预解正算子 共尾 

分 类 号：O177[理学—数学]