zbMATH — the first resource for mathematics

$$\alpha$$-times integrated semigroups $$(\alpha\in\mathbb{R}^-)$$. (English) Zbl 0948.47046
The authors extend their investigations on zero-integrated semigroups to the so called $$\alpha$$ integrated semigroups with $$\alpha<0.$$ The obtained results are applied to the Cauchy problem in this setting.

MSC:
 47D62 Integrated semigroups