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

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.