C半群与完全二阶抽象柯西问题

C-semigroups and the Complete Second Order Abstract Cauchy Problem

利用C半群的相关知识,当完全二阶抽象柯西问题中系数满足一定关系时,通过对其算子矩阵M=[pA0+qIA00]中当p=-q=1时的讨论,给出了M生成=[C00C]半群的等价条件以及与相应的完全二阶抽象柯西问题的解的关系.

The equivalent condition for operator matrix M=[pA0＋qI A0 0]to generate an C=（C0 0C）- semigroup is obtained by using C -- semigroups theory when p =- q=1. The relationship between the fact that[pA0＋q I A0 0] generate（C0 0C） -semigroups and the Complete Second Order Abstract Cauchy Problemis also given.