A General Class of Impulsive Evolution Equations

JinRong Wang, Michal Feckan

DOI: http://dx.doi.org/10.12775/TMNA.2015.072


One of the novelty of this paper is the study of a
general class of impulsive differential equations, which is more
reasonable to show dynamics of evolution processes in
Pharmacotherapy. This fact reduces many difficulties in applying
analysis methods and techniques in Bielecki's normed Banach spaces
and thus makes the study of existence and uniqueness theorems
interesting. The other novelties of this paper are new concepts of
Ulam's type stability and Ulam-Hyers-Rassias stability results on
compact and unbounded intervals.


Impulsive evolution equations; mild solutions; existence; stability

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