On a new class of abstract impulsive differential equations

E Hernández, D O'Regan - Proceedings of the American Mathematical …, 2013 - ams.org
In this note we introduce a new class of abstract impulsive differential equations for which
the impulses are not instantaneous. We introduce the concepts of mild and classical solution …

Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

M Pierri, D O'Regan, V Rolnik - Applied mathematics and computation, 2013 - Elsevier
In this paper, using the theory of analytic semigroup and fractional power of closed operators
we study the existence of solutions for a class of semi-linear abstract impulsive differential …

Existence of solutions for impulsive partial neutral functional differential equations

E Hernández, M Rabello, HR Henríquez - Journal of Mathematical Analysis …, 2007 - Elsevier
Existence of solutions for impulsive partial neutral functional differential equations Page 1 J.
Math. Anal. Appl. 331 (2007) 1135–1158 www.elsevier.com/locate/jmaa Existence of solutions …

Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions

N Abada, M Benchohra, H Hammouche - Journal of Differential Equations, 2009 - Elsevier
In this paper, we shall establish sufficient conditions for the existence of integral solutions
and extremal integral solutions for some nondensely defined impulsive semilinear functional …

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 …

Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency

JL Mancilla-Aguilar, H Haimovich, P Feketa - Nonlinear Analysis: Hybrid …, 2020 - Elsevier
We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive
systems. These conditions generalize, extend, and strengthen many existing results …

[PDF][PDF] Existence results for a impulsive abstract partial differential equation with state-dependent delay

EAH Morales - 2005 - repositorio.usp.br
UNIVERSIDADE DE SÃO PAULO Page 1 UNIVERSIDADE DE SÃO PAULO Instituto de
Ciências Matemáticas e de Computação ISSN (0103-2577 Existence Results for a …

[PDF][PDF] Existence results for impulsive evolution differential equations with state-dependent delay.

E Hernandez, R Sakthivel, ST Aki - Electronic Journal of Differential …, 2008 - eudml.org
\noindent Electronic Journal of Differential Equations , Vol . 2008 ( 2008 ) , No . 28 , pp . 1 −−
1 1 . \noindent ISSN : 1 Page 1 \noindent Electronic Journal of Differential Equations , Vol …

On abstract differential equations with non instantaneous impulses

E Hernandez, M Pierri, D O'Regan - 2015 - projecteuclid.org
We introduce a class of abstract differential equation with non instantaneous impulses which
extend and generalize some recent models considered in the literature. We study the …

Existence results for an impulsive neutral functional differential equation with state-dependent delay

A Anguraj, M Mallika Arjunan… - Applicable Analysis, 2007 - Taylor & Francis
Full article: Existence results for an impulsive neutral functional differential equation with
state-dependent delay Skip to Main Content Taylor and Francis Online homepage Taylor …