A General Class of Impulsive Evolution Equations

Abstract

One of the novelty of this paper is the study of ageneral class of impulsive differential equations, which is morereasonable to show dynamics of evolution processes inPharmacotherapy. This fact reduces many difficulties in applyinganalysis methods and techniques in Bielecki's normed Banach spacesand thus makes the study of existence and uniqueness theoremsinteresting. The other novelties of this paper are new concepts ofUlam's type stability and Ulam-Hyers-Rassias stability results oncompact and unbounded intervals.