正则 α-？Т卧そ庾逵牖？分 α-次预解族
Regularized ？Е？-？？ times resolvent families and integrated ？Е？-？？ times resolvent families

为研究不适定的抽象Cauchy问题，Da Prato引入了正则半群，而 Arendt则引入了积分半群的概念. deLaubenfels给出了这两种半群之间的联系. 本文将delaubenfels的上述结论推广到了正则？Е联？ 次预解族和积分？Е联？ 次预解族上. 最后给出这个定理的一些简单推论.
Regularized semigroups and integrated semigroups are introduced by Da Prato and Arendt respectively, to treat Cauchy problems which are not well posed. deLaubenfels have studied the relationship between these two different semigroups. We give the relations between regularized ？Е联？ times resolvent families and integrated ？Е联？ times resolvent families, which generalizes the corresponding results for regularized semigroups and integrated semigroups given by deLaubenfels. In the end we give some corollaries