Results 1 to 10 of about 28,792 (297)

Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis [PDF]

Fractal and Fractional, 2021
In this paper, a fractional-order Cohen–Grossberg-type neural network with Caputo fractional derivatives is investigated. The notion of almost periodicity is adapted to the impulsive generalization of the model.
Ivanka Stamova, Sotir Sotirov, Evdokia Sotirova, Gani Stamov   +3 more
doaj   +4 more sources

A Lyapunov-Based Analysis on the Almost Periodicity of Impulsive Conformable Reaction–Diffusion Neural Networks with Distributed Delays [PDF]

Entropy
The focus of this research is the qualitative behavior of a reaction–diffusion neural network with distributed delays and conformable derivatives under impulsive perturbations.
Ivanka Stamova, Gani Stamov, Cvetelina Spirova   +2 more
doaj   +2 more sources

Lyapunov Approach for Almost Periodicity in Impulsive Gene Regulatory Networks of Fractional Order with Time-Varying Delays

Fractal and Fractional, 2021
This paper investigates a class of fractional-order delayed impulsive gene regulatory networks (GRNs). The proposed model is an extension of some existing integer-order GRNs using fractional derivatives of Caputo type.
Ivanka Stamova, Gani Stamov
doaj   +3 more sources

A NEW APPROACH TO ALMOST PERIODICITY [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 1962
S Bochner
exaly   +4 more sources

Almost periodic and asymptotically almost periodic functions: part I [PDF]

Advances in Difference Equations, 2018
In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach spaces. Special accent is put on the Stepanov generalizations of almost periodic functions and asymptotically almost periodic functions.
Dhaou Lassoued, Rahim Shah, Tongxing Li
openaire   +2 more sources

Almost periodic generalized solutions of differential equations [PDF]

Mathematica Bohemica, 2021
The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions. Conditions on the existence of generalized solutions are given.
Chikh Bouzar, Fethia Ouikene
doaj   +1 more source

Almost periodic processes and the existence of almost periodic solutions

Electronic Journal of Qualitative Theory of Differential Equations, 1998
The authors state an existence theorem for almost-periodic solutions to some almost-periodic evolution equations. For this, they discuss some stability notions for processes. An equivalence relation with respect to the separation condition and some stability condition are given. As example the authors study a wave equation.
Hino, Y., Murakami, Satoru
openaire   +2 more sources

DEFINITIONS OF ALMOST PERIODICITY [PDF]

Far East Journal of Mathematical Sciences (FJMS), 2017
18 ...
openaire   +2 more sources

Asymptotically almost periodic solutions of limit and almost periodic linear difference systems

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite ...
Martin Chvátal
doaj   +1 more source

Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents

Mathematics, 2020
In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents.
Marko Kostić, Wei-Shih Du
doaj   +1 more source