Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces

YK Chang, R Ponce - The Journal of Integral Equations and Applications, 2018 - JSTOR
Let 𝕏 be a Banach space. Let A be the generator of an immediately norm continuous C0-
semigroup defined on 𝕏. We study the uniform exponential stability of solutions of the …

Piecewise asymptotically almost automorphic solutions for impulsive non-autonomous high-order Hopfield neural networks with mixed delays

C Aouiti, F Dridi - Neural Computing and Applications, 2019 - Springer
This paper is concerned with an impulsive non-autonomous high-order Hopfield neural
network with mixed delays. Under proper conditions, we studied the existence, the …

[PDF][PDF] Existence of asymptotically almost automorphic mild solutions for nonautonomous semilinear evolution equations

J Cao, Z Huang, G N'Guerekata - 2018 - digital.library.txstate.edu
In this article, we study the existence of asymptotically almost automorphic mild solutions for
a class of nonautonomous semilinear evolution equations and extend some related results …

[PDF][PDF] Weighted pseudo almost automorphic solutions to functional differential equations with infinite delay

YK Chang, S Zheng - Electron J Differ Equ, 2016 - ejde.math.unt.edu
In this article, we first establish some results on composition of Stepanov-like weighted
pseudo almost automorphic functions so called class r and class infinity under a uniform …

[PDF][PDF] Asymptotically Automorhpic Solutions of Abstract fractional evolution equations with Non-Instantaneous Impulses

N Rezoug, M Benchohra, ETK EZZINBI - Surveys in Mathematics & its …, 2022 - utgjiu.ro
In this paper, we study the existence of asymptotically automorphic mild solutions of
fractional evolution equations with non-instantaneous impulses. The main results are based …

Some new results on bounded solutions to a semilinear integro-differential equation in Banach spaces

YK Chang, XY Wei, GM N'Guérékata - 2015 - projecteuclid.org
In this article, by a concept of Stepanov type μ-pseudo almost automorphic functions
developed recently, we investigate some new existence results on bounded solutions to a …

[图书][B] Integro-Differential Equations: Analysis, Stability and Controllability

M Benchohra, A Salim, Y Zhou - 2024 - books.google.com
This book delves into semilinear evolution equations, impulsive differential equations, and
integro-differential equations with different types of delay. The main objective is to …

Existence of measure pseudo-almost automorphic functions and applications to impulsive integro-differential equation

V Kavitha, D Baleanu, S George… - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
This article's main objective is to establish the measure pseudo-almost automorphic solution
of an integro-differential equation with impulses. We develop the existence results based on …

Stability of solutions for generalized fractional differential problems by applying significant inequality estimates

MD Kassim, T Abdeljawad, SM Ali, MS Abdo - Advances in Difference …, 2021 - Springer
In this research paper, we intend to study the stability of solutions of some nonlinear initial
value fractional differential problems. These equations are studied within the generalized …

[PDF][PDF] Asymptotically Almost automorphic mild solutions for Second Order nonautonomous semilinear evolution equations, J

M Benchohraa, GMN Guerekata… - Copmputational anali …, 2021 - eudoxuspress.com
The aim of this paper is to study the existence of asymptotically almost automorphic mild
solution to some classes of second order semilinear evolution equation via the techniques of …