Decoupling of impulsive differential equations in a Banach space

Impulsive differential equations provide an adequate mathematical model of evolutionary processes that suddenly change their state at certain moments. The first investigators of impulsive differential equations were Myshkis and Mil’man [1]. Later on, monographs on the subject by Lakshmikantham, Bainov and Simeonov [2] and Samoilenko and Perestyuk [3] were published.