Topological Methods in Nonlinear Analysis

A general class of impulsive evolution equations

Michal Fečkan and JinRong Wang

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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.

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Topol. Methods Nonlinear Anal., Volume 46, Number 2 (2015), 915-933.

First available in Project Euclid: 21 March 2016

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Fečkan, Michal; Wang, JinRong. A general class of impulsive evolution equations. Topol. Methods Nonlinear Anal. 46 (2015), no. 2, 915--933. doi:10.12775/TMNA.2015.072.

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