关键词: Integrated bisemigroup, impulsive differential equation, solvability

Abstract: In this paper author studies the solvability of abstract impulsive differential equations on Banach space X. By terms of integrated bisemigroup, author obtains the existence of abstract impulsive differential equations with finite contant impulses and gives a condition which makes the impulsive equation be solvable for a Variable impuls.

Key words: Integrated bisemigroup, impulsive differential equation, solvability