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广义算子半群的PERRON问题
引用本文:葛世刚,于健,仓定帮.广义算子半群的PERRON问题[J].数学的实践与认识,2017(2):230-234.
作者姓名:葛世刚  于健  仓定帮
作者单位:华北科技学院 基础部,北京,101601
基金项目:中央高校基本科研业务基金(3142013039;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.

关 键 词:广义算子半群  Perron问题  广义积分算子半群

The PERRON Problem for Generalized Operator Semigoups
GE Shi-gang,YU Jian,CANG Ding-bang.The PERRON Problem for Generalized Operator Semigoups[J].Mathematics in Practice and Theory,2017(2):230-234.
Authors:GE Shi-gang  YU Jian  CANG Ding-bang
Abstract:By relationship between generalized 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.
Keywords:generalized operator semigroups  Perron problem  generalized integrated operator semigroups
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