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Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences [PDF]

Applied Mathematics Letters, 2000
The existence of almost periodic, asymptotically almost periodic, and pseudo almost periodic solutions of differential equations with piecewise constant argument is characterized in terms of almost periodic, asymptotically, and pseudo almost periodic ...
Rafael Obaya, Jialin Hong
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Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

Stochastics and Dynamics, 2020
In this paper, we investigate the existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay in Hilbert space.
Xiao Ma, X. Shu, J. Mao
semanticscholar   +1 more source

Almost periodic solutions of Cohen-Grossberg neural networks with time-varying delay and variable impulsive perturbations

Communications in nonlinear science & numerical simulation, 2020
In this paper, we consider the problem of existence of almost periodic solutions of impulsive Cohen–Grossberg neural networks with time-varying delays.
M. Bohner, G. Stamov, I. Stamova
semanticscholar   +1 more source

Multistability of Almost Periodic Solution for Memristive Cohen-Grossberg Neural Networks With Mixed Delays

IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper presents the multistability analysis of almost periodic state solutions for memristive Cohen–Grossberg neural networks (MCGNNs) with both distributed delay and discrete delay.
Sitian Qin, Q. Ma, Jiqiang Feng, Chen Xu
semanticscholar   +1 more source

Almost-Periodic Multipliers

Acta Applicandae Mathematica, 2001
Let \((\sigma_m(x))_{m\in\mathbb{N}}\) be the sequence of Bochner sums of the generalized trigonometric series \[ \sum_{\lambda\in\Lambda} a_\lambda e^{i\lambda x},\tag{\(*\)} \] where the spectrum \(\Lambda\) is a countable set in \(\mathbb{R}\). Among else it is shown \((*)\) is the Bohr-Fourier series of a function \(f\) in the space \(S^p(\mathbb{R}
Bruno, Giordano, Grande, Renato, Iannacci, Rita   +2 more
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Measure pseudo almost periodic solutions for differential equations with reflection

Applicable Analysis, 2020
In this research paper, we give some new results for the existence and uniqueness of doubly measure pseudo almost periodic (Or -pap) solutions for some differential equations with reflection. We will use the Banach fixed-point theorem and some properties
M. Miraoui
semanticscholar   +1 more source

Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms

Canadian mathematical bulletin, 2019
Taking into account the effects of patch structure and nonlinear density-dependent mortality terms, we explore a class of almost periodic Nicholson’s blowflies model in this paper.
Chuangxia Huang, Xin Long, Lihong Huang, Si Fu   +3 more
semanticscholar   +1 more source

Almost Periodic Solutions for Stepanov-Almost Periodic Differential Equations

Differential Equations and Dynamical Systems, 2013
The paper considers the following differential equations in a Banach space \[ \displaylines{u^{(n)}(t) = Au(t) + f(t)\;,\;u^{(n)}(t) = Au(t) + f(t,u(t))\cr u'(t) = Au(t) + f(t)\;,\;u'(t) = Au(t) + f(t,u(t))} \] with \(A\) either a bounded linear operator or the infinitesimal generator of an exponentially stable continuous semigroup; \(f:\mathbb{R ...
Maqbul, Md., Bahuguna, D.
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Existence and exponential stability of piecewise pseudo almost periodic solution of neutral-type inertial neural networks with mixed delay and impulsive perturbations

Neurocomputing, 2019
In this paper, the exponential stability of piecewise pseudo almost periodic solutions for neutral-type inertial neural networks with time-varying, infinite-time distributed delays (mixed delays) and impulses are investigated.
C. Aouiti, E. Assali, Imen Ben Gharbia, Y. E. Foutayeni   +3 more
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Stepanov Almost Periodically Correlated and Almost Periodically Unitary Processes

Theory of Probability & Its Applications, 1997
Summary: This paper extends the structure and properties of almost periodically correlated (APC) and almost periodically unitary (APU) processes, which are defined in the sense of Bohr, to a larger class of processes for which the sense of almost periodicity is that of Stepanov.
Hurd, H. L., Russek, A.
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