广义算子半群的PERRON问题  

The PERRON Problem for Generalized Operator Semigoups

作　　者：葛世刚[1] 于健[1] 仓定帮[1] GE Shi-gang YU Jian CANG Ding-bang(Department of Basic, North China Institute of Science and Technology, Beijing 101601, China)

机构地区：[1]华北科技学院基础部,北京101601

出　　处：《数学的实践与认识》2017年第2期230-234,共5页Mathematics in Practice and Theory

基　　金：中央高校基本科研业务基金(3142013039;3142013023;3142014127);华北科技学院重点学科建设项目(HKXJZD201402);华北科技学院应用数学创新团队(3142016023)

摘　　要：借助于广义算子半群和广义积分算子半群的关系,讨论广义算子半群的Perron型指数稳定性,研究了广义积分算子半群的渐近行为.By relationship between generaUzed operator and generalized integrated operator semigroups,characterizations for Perron-type for the exponential stability of exponentially bounded generalized operator semigroups are given,and also,the asymptotic behavior of the generalized integrated operator semigroups are abtained.

关 键 词：广义算子半群 Perron问题 广义积分算子半群 

分 类 号：O152.7[理学—数学]