Results 1 to 10 of about 214 (66)

Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis

open access: yesFractal 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   +3 more
doaj   +3 more sources

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

open access: yesFractal 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

Almost periodic generalized solutions of differential equations [PDF]

open access: yesMathematica 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

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

open access: yesElectronic 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

open access: yesMathematics, 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

Limit periodic linear difference systems with coefficient matrices from commutative groups

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group.
Petr Hasil, Michal Veselý
doaj   +1 more source

Non-almost periodic solutions of limit periodic and almost periodic homogeneous linear difference systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
We study limit periodic and almost periodic homogeneous linear difference systems. The coefficient matrices of the considered systems are taken from a given commutative group.
Martin Chvátal
doaj   +1 more source

Positive almost periodicity on SICNNs incorporating mixed delays and D operator

open access: yesNonlinear Analysis, 2022
This article involves a kind of shunting inhibitory cellular neural networks incorporating D operator and mixed delays. First of all, we demonstrate that, under appropriate external input conditions, some positive solutions of the addressed system exist
Chuangxia Huang   +3 more
doaj   +1 more source

Logarithmic bounds for Roth's theorem via almost-periodicity

open access: yesDiscrete Analysis, 2019
Logarithmic bounds for Roth's theorem via almost-periodicity, Discrete Analysis 2019:4, 20pp. A central result of additive combinatorics, Roth's theorem, asserts that for every $\delta>0$ there exists $N$ such that every subset of $\{1,2,\dots,N\}$ of ...
Thomas Bloom, Olof Sisask
doaj   +1 more source

Notes on almost-periodicity in topological vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
A study is made of almost-periodic functions in topological vector spaces with applications to abstract differential equations.
Gaston Mandata N'guérékata
doaj   +1 more source

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