一类线性算子半群的生成定理

Generation theorem of a class linear operator semigroup

引进了广义C0 半群及其C生成元的概念 ,得到了广义C0 半群的一些性质和生成定理 .推广了C0半群的结论 ,为直接用于讨论初值问题ddt(Cx(t) ) =Ax(t)Cx(0 ) =Cy奠定了基础 .

This paper introduces generalized C 0 semigroup and its C semigroup.some properties and generation theorem of generalized C 0 semigroup are proved.The article extends the corresponding results of C 0 semigroup and gives a foundation to discuss the Cauchy Problem d dt (Cx(t)=Ax(t) Cx(0)=Cy..