Robustness for linear evolution equations with non-instantaneous impulsive effects

Jin Rong Wang; Mengmeng Li; Donal O'Regan; Michal Fečkan

doi:10.1016/j.bulsci.2019.102827

Robustness for linear evolution equations with non-instantaneous impulsive effects

Jin Rong Wang, Mengmeng Li, Donal O'Regan, Michal Fečkan

Mathematics

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14 Citations (Scopus)

Abstract

This paper considers robustness for linear evolution equations with non-instantaneous impulsive effects in Banach spaces. We present sufficient conditions to guarantee robustness of nonuniform exponential contractions and exponential dichotomies with both non-instantaneous linear impulsive actions of the associated equation and linear perturbations of the associated linear evolution equation. This paper establishes a new framework to investigate robustness for linear evolution equations with non-instantaneous impulsive conditions and also generalizes results from classical impulsive equations using several nontrivial techniques.

Original language	English
Article number	102827
Number of pages	0
Journal	Bulletin des Sciences Mathematiques
Volume	159
DOIs	https://doi.org/10.1016/j.bulsci.2019.102827
Publication status	Published - 1 Mar 2020

Keywords

Exponential behavior
Linear evolution equations
Non-instantaneous impulsive effects
Robustness

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Wang, JR;Li, MM;O'Regan, D;Feckan, M

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10.1016/j.bulsci.2019.102827

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title = "Robustness for linear evolution equations with non-instantaneous impulsive effects",

abstract = "This paper considers robustness for linear evolution equations with non-instantaneous impulsive effects in Banach spaces. We present sufficient conditions to guarantee robustness of nonuniform exponential contractions and exponential dichotomies with both non-instantaneous linear impulsive actions of the associated equation and linear perturbations of the associated linear evolution equation. This paper establishes a new framework to investigate robustness for linear evolution equations with non-instantaneous impulsive conditions and also generalizes results from classical impulsive equations using several nontrivial techniques.",

keywords = "Exponential behavior, Linear evolution equations, Non-instantaneous impulsive effects, Robustness",

author = "Wang, \{Jin Rong\} and Mengmeng Li and Donal O'Regan and Michal Fe{\v c}kan",

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AU - Wang, Jin Rong

AU - Li, Mengmeng

AU - O'Regan, Donal

AU - Fečkan, Michal

PY - 2020/3/1

Y1 - 2020/3/1

N2 - This paper considers robustness for linear evolution equations with non-instantaneous impulsive effects in Banach spaces. We present sufficient conditions to guarantee robustness of nonuniform exponential contractions and exponential dichotomies with both non-instantaneous linear impulsive actions of the associated equation and linear perturbations of the associated linear evolution equation. This paper establishes a new framework to investigate robustness for linear evolution equations with non-instantaneous impulsive conditions and also generalizes results from classical impulsive equations using several nontrivial techniques.

AB - This paper considers robustness for linear evolution equations with non-instantaneous impulsive effects in Banach spaces. We present sufficient conditions to guarantee robustness of nonuniform exponential contractions and exponential dichotomies with both non-instantaneous linear impulsive actions of the associated equation and linear perturbations of the associated linear evolution equation. This paper establishes a new framework to investigate robustness for linear evolution equations with non-instantaneous impulsive conditions and also generalizes results from classical impulsive equations using several nontrivial techniques.

KW - Exponential behavior

KW - Linear evolution equations

KW - Non-instantaneous impulsive effects

KW - Robustness

UR - http://www.scopus.com/inward/record.url?scp=85076104374&partnerID=8YFLogxK

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DO - 10.1016/j.bulsci.2019.102827

M3 - Article

SN - 0007-4497

VL - 159

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

M1 - 102827

ER -

Robustness for linear evolution equations with non-instantaneous impulsive effects

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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