A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly

P Feketa, V Klinshov, L Lücken - Communications in Nonlinear Science …, 2021 - Elsevier
We propose an overview of the modeling approaches for the mathematical description and
analysis of processes that combine continuous and discontinuous behavior, namely …

Finding of bounded solutions to linear impulsive systems

F Asrorov, V Sobchuk, О Kurylko - Eastern-European Journal of …, 2019 - neliti.com
The problem of the existence of bounded on the entire real axis solutions to linear
nonhomogeneous systems of differential equations undergoing impulsive perturbations at …

[HTML][HTML] Long-time behavior for impulsive generalized semiflows

E de Mello Bonotto, P Kalita - Nonlinear Analysis: Hybrid Systems, 2024 - Elsevier
We propose new criteria, which are more general than those previously known in the
literature, to guarantee the existence of global attractors for problems with state-dependent …

Attractors for Multivalued Impulsive Systems: Existence and Applications to Reaction‐Diffusion System

S Dashkovskiy, OA Kapustian… - Mathematical …, 2021 - Wiley Online Library
In this paper, we develop a general approach to investigate limit dynamics of infinite‐
dimensional dissipative impulsive systems whose initial conditions do not uniquely …

On attractors of generalized semiflows with impulses

E de Mello Bonotto, P Kalita - The Journal of Geometric Analysis, 2020 - Springer
This paper is devoted to the study of global attractors for problems with state-dependent
impulses and possible nonuniqueness of solutions. We provide the criteria under which …

[HTML][HTML] An analysis on approximate controllability of semilinear control systems with impulsive effects

A Shukla, V Vijayakumar, KS Nisar, AK Singh… - Alexandria Engineering …, 2022 - Elsevier
The article uses semigroup theory and Gronwall's inequality to investigate the approximate
controllability of impulsive semilinear control systems. A weaker Lipschitz condition on …

Existence of solutions for impulsive wave equations

SG Georgiev, K Zennir, K Bouhali, Y Altayeb… - AIMS …, 2023 - aimspress.com
We study a class of initial value problems for impulsive nonlinear wave equations. A new
topological approach is applied to prove the existence of at least one and at least two …

Dynamics of Nonautomous Impulsive Multivalued Processes

T Caraballo, JM Uzal - Set-Valued and Variational Analysis, 2023 - Springer
Dynamics of Nonautomous Impulsive Multivalued Processes | Set-Valued and Variational
Analysis Skip to main content SpringerLink Account Menu Find a journal Publish with us Search …

ω-Limit Sets of Impulsive Semigroups for Hyperbolic Equations

P Feketa, J Fedorenko, D Bezushchak, A Sukretna - Axioms, 2023 - mdpi.com
In this paper, we investigate the qualitative behavior of an evolutionary problem consisting of
a hyperbolic dissipative equation whose trajectories undergo instantaneous impulsive …

Stability of uniform attractors of impulsive multi-valued semiflows

S Dashkovskiy, O Kapustyan, Y Perestyuk - Nonlinear Analysis: Hybrid …, 2021 - Elsevier
In this paper we investigate stability of uniformly attracting sets for semiflows generated by
impulsive infinite-dimensional dynamical systems without uniqueness. Obtained abstract …