ω-Limit Sets of Impulsive Semigroups for Hyperbolic Equations

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Title

ω-Limit Sets of Impulsive Semigroups for Hyperbolic Equations

Content partner

Victoria University of Wellington

Collection

Open Access Victoria University of Wellington

Description

In this paper, we investigate the qualitative behavior of an evolutionary problem consisting of a hyperbolic dissipative equation whose trajectories undergo instantaneous impulsive discontinuities at the moments when the energy functional reaches a certain threshold value. The novelty of the current study is that we consider the case in which the entire infinite-dimensional phase vector undergoes an impulsive disturbance. This substantially broadens the existing results, which admit discontin...

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Format

Research paper

Research format

Scholarly text / Journal article

Date created

2023

Creator

Petro Feketa / Juliya Fedorenko / Dmytro Bezushchak / Anna Sukretna

URL

https://figshare.com/articles/journal_contribution/_-Limit_Sets_of_Impulsive_Semigroups_for_Hyper...

Related subjects

Mathematical sciences / Applied mathematics / Pure mathematics / Applied Mathematics / Pure Mathematics / Mathematical Sciences

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