指数有界双参数n阶α次积分C群的预解方程

Resolvent equations of exponentially bounded two-parameter n-th orderα-times integrated C-groups

利用经典算子半群理论中的方法,基于指数有界双参数n阶α次积分C群的概念,得到了指数有界双参数n阶α次积分C群的预解方程表达式。从而丰富了线性算子半群理论,拓展了对预解方程的研究。

By using the method of classical operator semigroup theory,based on the concept of exponentially bounded two-parameter n-th orderα-times integrated C-groups,the resolvent equation expression for the exponentially bounded two-parameter n-th orderα-times integrated C-groups is obtained.This research enriches the linear operator semigroup theory and expands the study of the resolvent equations.