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Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis
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 +3 more
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Periodicity, almost periodicity for time scales and related functions
Nonautonomous Dynamical Systems, 2016 In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made.
Wang Chao +2 more
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A Lyapunov-Based Analysis on the Almost Periodicity of Impulsive Conformable Reaction–Diffusion Neural Networks with Distributed Delays [PDF]
EntropyThe 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 +2 more
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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.
Yoshiyuki Hino, Satoru Murakami
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Almost periodic functions in quantum calculus
Electronic Journal of Differential Equations, 2018 In this article, we introduce the concepts of Bochner and Bohr almost periodic functions in quantum calculus and show that both concepts are equivalent.
Martin Bohner, Jaqueline G. Mesquita
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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
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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
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Weakly Almost Periodic Flows [PDF]
Transactions of the American Mathematical Society, 1989 The notion of the enveloping semigroup of a flow is applied to some situations in ergodic theory. In particular, weakly almost periodic functions on groups are studied and Moore’s ergodic theorem is proved.
Ellis, R., Nerurkar, M.
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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
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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
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