广义算子半群的扰动定理

The Perturbation Theorem of Generalized Operator Semigroups

算子扰动问题是研究微分方程的一个重要工具,首先结合Hilbert空间中有界算子引导的广义算子半群的定义研究了广义半群的性质;其次重点讨论了广义算子半群的扰动问题,给出了广义算子半群的加法扰动定理成立的条件.

Perturbation theory of operators is an important tool in application to differen- tial equations. Firstly, the properties of generalized operator semigroups were characterized based on the definition of generalized operator semigroup induced by bounded linear operator on Hilbert space X; Secondly, the perturbation problem of generalized operator semigroups was studied and the addition perturbation obtained under two different conditions. theorems of generalized operator semigroups was