指数有界的n次积分C-半群的逼近定理

ON THE APPROXIMATION OF EXPONENTIALLY BOUNDED n-TIMES INTEGRATED C-SEMIGROUPS

为了解决更多类型的抽象柯西问题,在半群理论中引入了n次积分C-半群,推广了n次积分半群和C-半群.结合n次积分半群逼近定理和C-半群逼近定理以及n次积分C-半群的相关性质,在指数有界条件下,得到n次积分C-半群的逼近理论,从而也推广了n次积分半群逼近定理和C-半群逼近定理.

In order to solve some abstract Cauchy problems, mathematicians created n- times integrated C -semigroups, then generalized n- times integrated semigroups and C- semigroups. In this paper, we conclude the approximation theorem of exponentially bounded n- times integrated C- semigroups by combining the approximation theorem of n- times integrated semigroups and the approximation theorem and then generalize the two approximation theorems.