Dynamics and oscillations of models for differential equations with delays

We consider a class of nonautonomous cellular neural networks (CNNs) with mixed delays, to study the solutions of these systems which are type pseudo almost periodicity. Using general measure theory and the Mittag-Leffler function, we obtain the existence of unique solutions for cellular neural equations and investigate the Mittag-Leffler stability and attractiveness of pseudo almost periodic functions. We also present numerical examples to illustrate the application of our results.

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“…We can derive the Mittag-Leffler attractiveness from the Mittag-Leffler stability; for more details, see [21][22][23][24][25][26][27].…”

Section: Preliminariesmentioning

confidence: 99%

Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks

Eidinejad

Saadati

Repovš

2022

Journal of Function Spaces

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“…For more details about the (µ 1 , µ 2 )-p.a.p. functions and their applications in the qualitative theory of differential equations, we refer the reader to [3,5,22,30,31,35,37,38].…”

Section: Introductionmentioning

confidence: 99%

P-mean (mu1,mu2)-pseudo almost periodic processes and application to integro-differential stochastic evolution equations

Ayachi,

Abbas

2024

ejde

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In this article, we investigate the existence and stability of p-mean \((\mu_1,\mu_2)\)-pseudo almost periodic solutions for a class of non-autonomous integro-differential stochastic evolution equations in a real separable Hilbert space. Using stochastic analysis techniques and the contraction mapping principle, we prove the existence and uniqueness of p-mean \((\mu_1,\mu_2)\)-pseudo almost periodic solutions. We also provide sufficient conditions for the stability of these solutions. Finally, we present three examples with numerical simulations to illustrate the significance of the main findings. For mor information see https://ejde.math.txstate.edu/Volumes/2024/24/abstr.html

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Pseudo Almost Periodic Solution for Some Differential Equations with Piecewise Constant Argument and Applications

Arfa,

Assel,

Miraoui

2024

Complex Anal. Oper. Theory

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Dynamics and oscillations of models for differential equations with delays

Cited by 6 publications

References 27 publications

Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks

Mittag-Leffler Stability and Attractiveness of Pseudo Almost Periodic Solutions for Delayed Cellular Neural Networks

P-mean (mu1,mu2)-pseudo almost periodic processes and application to integro-differential stochastic evolution equations

Pseudo Almost Periodic Solution for Some Differential Equations with Piecewise Constant Argument and Applications

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