The Asymptotic Behavior and Strong or Weak Stability for Generalized Operator Semigroups

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- The Asymptotic Behavior and Strong or Weak Stability for Generalized Operator Semigroups
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 2, Pages: 62-65(2013)
- 作者机构：
  
  华北科技学院,北京,101601
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 March 2013，
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CANG Dingbang, CHEN Cang, GE Shigang. The Asymptotic Behavior and Strong or Weak Stability for Generalized Operator Semigroups. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(2):62-65(2013)
DOI：

CANG Dingbang, CHEN Cang, GE Shigang. The Asymptotic Behavior and Strong or Weak Stability for Generalized Operator Semigroups. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(2):62-65(2013) DOI：

首先给出了由Banach空间有界线性算子引导的广义算子半群的定义及其性质；其次研究广义算子半群的渐近表达式；最后研究了广义算子半群的强弱稳定性，给出了广义算子半群强弱稳定性等价的条件。

First

the concept of generalized operator semigroups and some properties are given. Then by studying the stability of generalized operator semigroups

the asymptotic behavior representations for generalized operator semigroups are obtained. In addition

the equivalent conditions for strong stability and weak stability of generalized operator semigroups are also given.

广义算子半群渐近行为强稳定性弱稳定性

generalized operator semigroupsasymptotic behaviorstrong stabilityweak stability

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