关于(C,α)-预解族

介绍了一类新的预解族,即(C,α)-预解族,然后在某些条件下得到(C,α)-预解族的存在性与Volterra方程的C-适定性之间具有等价的关系,最后我们再说明该预解族在一定的条件下就是Volterra方程的mild解并给出相应的具体表达式。

On (C,α)- resolvent family

In this paper we introduced a new class of resolvent families i.e.,(C,α)-resolvent families,and then clarified the equivalent relations between the existence of(C,α)-resolvent families and the C-wellposedness of the Volterra equation.Finally,we showed the((C,α)-resolvent is the mild solution of the Volterra equation under some proper conditions and got the corresponding specific expressions.