广义抽象Cauchy问题的适定性

The Wellposedness of Cauchy Problemin Generalized Co-Semigroup

在传统Co半群的基础上,给出了广义Co半群的定义,并着重引入一个类似的新概念:广义抽象Cauchy问题.同时在适定性的条件下探讨了生成广义Co半群的条件及其不同性质解的情况.

On the basis of the traditional Co-semigroup, the paper defines the generalized Co-semigroup, and introduces a new analogous concept:the generalized abstract cauchy problem.The it investigates synchronously the condition that the generalized Co-semigroup must satisfy and some solutions with different properties.