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Topological Methods in Nonlinear Analysis

A General Class of Impulsive Evolution Equations
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  3. Vol 46, No 2 (December 2015) /
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A General Class of Impulsive Evolution Equations

Authors

  • JinRong Wang
  • Michal Feckan

DOI:

https://doi.org/10.12775/TMNA.2015.072

Keywords

Impulsive evolution equations, mild solutions, existence, stability

Abstract

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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Vol 46, No 2 (December 2015)

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Published

2015-12-01

How to Cite

1.
WANG, JinRong & FECKAN, Michal. A General Class of Impulsive Evolution Equations. Topological Methods in Nonlinear Analysis [online]. 1 December 2015, T. 46, nr 2, s. 915–934. [accessed 1.4.2023]. DOI 10.12775/TMNA.2015.072.
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