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Asymptotically Almost Periodic Solutions of an Almost Periodic System

open access: yesAsymptotically Almost Periodic Solutions of an Almost Periodic System
openaire  

Asymptotically almost periodic, almost periodic and pseudo-almost periodic mild solutions for neutral differential equations

Nonlinear Analysis: Real World Applications, 2010
Results concerning existence and uniqueness of almost periodic, asymptotically almost periodic, and pseudo-almost periodic mild solutions are provided for the following neutral differential equation in a Banach space \(X\) \[ \frac{d}{dt}\;u(t)=Au(t) + \frac{d}{dt}\;F_1(t, u(h_1(t))) + F_2(t,u(h_2(t))), \quad t\in \mathbb{R}, \] where \(A\) is the ...
Yong-Kui Chang, Zhi-Han Zhao
exaly   +3 more sources

Almost periodic solutions of a discrete almost periodic logistic equation with delay

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maoan Han, Fengde Chen
exaly   +2 more sources

Multi-dimensional ρ-almost periodic type functions and applications

Applicable Analysis, 2022
In this paper, we analyze various classes of multi-dimensional ρ-almost periodic type functions $ F : I \times X \rightarrow Y $ F:I×X→Y and multi-dimensional $ (\omega,\rho ) $ (ω,ρ)-almost periodic type functions $ F : I \times X \rightarrow Y $ F:I×X ...
Michal Feckan   +3 more
semanticscholar   +1 more source

New results on pseudo almost periodic solutions of quaternion-valued fuzzy cellular neural networks with delays

Fuzzy Sets Syst., 2021
This article investigates quaternion-valued fuzzy cellular neural networks with delays. With the help of fixed point theory, exponential dichotomy of linear equations and related inequalities, some new sufficient conditions which guarantee the existence ...
Changjin Xu   +4 more
semanticscholar   +1 more source

Almost periodic synchronization of quaternion-valued fuzzy cellular neural networks with leakage delays

Fuzzy Sets Syst., 2021
This paper mainly studies the synchronization issue of quaternion-valued fuzzy cellular neural networks (QVFCNNs) with leakage delays. To avoid non-commutativity, we decompose the QVFCNNs into an analogous real-valued system.
Pan Wang   +5 more
semanticscholar   +1 more source

Averaging of linear systems with almost periodic coefficients: A time-delay approach

at - Automatisierungstechnik, 2020
We study stability of linear systems with fast almost periodic coefficients that are piecewise-continuous in time. The classical averaging method guarantees the stability of such systems for small enough values of parameter provided the corresponding ...
E. Fridman, Jin Zhang
semanticscholar   +1 more source

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