Spectral Properties and Positivity of Flows in Infinite Networks with Dynamic Boundary Control Nodes  

作　　者：Xuelian Jin Fu Zheng Ming Fang Chao Gao 

机构地区：[1]Dept. of Mathematics ＆ Physics, Liaoning University of Technology, Jinzhou 121013, China [2]Dept. of Mathematics, Bahai University, Jinzhou 121013, China [3]Beijing Institute of Information and Control, Beijing 100037, China [4]Dept. of Mathematics, Science College, Yanbian University, Yanji 133002, China

出　　处：《Journal of Systems Science and Information》2009年第4期319-325,共7页系统科学与信息学报（英文）

摘　　要：In this paper we study transport processes on infinite networks with dynamic boundary control nodes. These flows can be modeled by operator semigroups on a suitable Banach space. Using functional analytical and graph theoretical methods, we investigate its spectral properties of the system and positivity of the semigroup under appropriate assumptions on the network.

关 键 词：CO-SEMIGROUP SPECTRUM POSITIVITY 

分 类 号：O351.3[理学—流体力学] TN13[理学—力学]