Weighted Stepanov-Like Pseudo Almost Periodicity on Time Scales and Applications

Es-saiydy, Mohssine; Zitane, Mohamed

doi:10.1007/s12591-020-00543-7

Differ Equ Dyn Syst

2020

DOI: 10.1007/s12591-020-00543-7

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Weighted Stepanov-Like Pseudo Almost Periodicity on Time Scales and Applications

Mohssine Es-saiydy

Mohamed Zitane

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Cited by 10 publications

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“…For more details of the concepts of PAA, please see ( [8,12,27,26,25]) and the references therein. On the other hand, almost automorphy is investigated by a number of researchers ( [10,13,14,27,25,28]) due to its powerful dynamic behavior.…”

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Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

Arbi

Cao

Es-saiydy

et al. 2022

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<p style='text-indent:20px;'>Pseudo almost automorphy (PAA) is a natural generalization of Bochner almost automorphy and Stepanov almost automorphy. Therefore, the results of the existence of PAA solutions of differential equations are few, and the results of the existence of pseudo almost automorphic solutions of difference equations are rare. In this work, we are concerned with a model of delayed cellular neural networks (CNNs). The delays are considered in varying-time form. By the Banach's fixed point theorem, Stepanov like PAA, and constructing a novel Lyapunov functional, we fixed a sufficient criteria that agreement the existence and the Stepanov-exponential stability of Stepanov-like PAA solution of this model of CNNs are obtained. In addition, a numerical example and simulations are performed to verify our theoretical results.</p>

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confidence: 99%

Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

Arbi

Cao

Es-saiydy

et al. 2022

DCDS-S

Self Cite

View full text Add to dashboard Cite

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Oscillating dynamics of Lotka–Volterra neural networks with time-varying delays and distributed delays

Es-saiydy

Zitane

2022

Ricerche mat

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Dynamics analysis of delayed fuzzy Clifford-valued model: a case of Equi-Weyl almost periodic environment

Es-saiydy,

Zitane

2023

Comp. Appl. Math.

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Weighted Stepanov-Like Pseudo Almost Periodicity on Time Scales and Applications

Cited by 10 publications

References 20 publications

Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

Oscillating dynamics of Lotka–Volterra neural networks with time-varying delays and distributed delays

Dynamics analysis of delayed fuzzy Clifford-valued model: a case of Equi-Weyl almost periodic environment

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