Long Time Behavior for a Wave Equation with Time Delay

Liu, Gongwei; Yue, Hongyun; Zhang, Hongwei

doi:10.11650/tjm.21.2017.7246

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Introduction and Position Of Problem1

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2017

2023

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Cited by 7 publications

(2 citation statements)

References 25 publications

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“…Interested readers are referred to [14][15][16]. We mention here some results on the relation between the delay term and the source term [10,[17][18][19][20][21].…”

Section: Introduction and Position Of Problemmentioning

confidence: 99%

Existence and Asymptotic Stability of the Solution for the Timoshenko Transmission System with Distributed Delay

Braik,

Zennir,

Hassan

et al. 2023

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“…Interested readers are referred to [14][15][16]. We mention here some results on the relation between the delay term and the source term [10,[17][18][19][20][21].…”

Section: Introduction and Position Of Problemmentioning

confidence: 99%

Existence and Asymptotic Stability of the Solution for the Timoshenko Transmission System with Distributed Delay

Braik,

Zennir,

Hassan

et al. 2023

Axioms

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“…Under some conditions, the existence of global attractor which has finite fractal dimension for (1.3) was proved. But, there are not many researches on attractors especially the exponential attractors for other delayed system, it is worth mentioning the related researches [8,15]. But, to our best knowledge, there is no work on suspension equations with both past history and time delay.…”

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confidence: 99%

Longtime dynamics for a type of suspension bridge equation with past history and time delay

Liu¹,

Feng²,

Yang³

2020

Communications on Pure &Amp; Applied Analysis

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In this paper, we investigate a suspension bridge equation with past history and time delay effects, defined in a bounded domain Ω of R N . Many researchers have considered the well-posedness, energy decay of solution and existence of global attractors for suspension bridge equation without memory or delay. But as far as we know, there are no results on the suspension bridge equation with both memory and time delay. The purpose of this paper is to show the existence of a global attractor which has finite fractal dimension by using the methods developed by Chueshov and Lasiecka. Result on exponential attractors is also proved. We also establish the exponential stability under some conditions. These results are extension and improvement of earlier results.

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Long-Time Dynamics of a Plate Equation with Memory and Time Delay

Feng

2017

Bull Braz Math Soc, New Series

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Long Time Behavior for a Wave Equation with Time Delay

Cited by 7 publications

References 25 publications

Existence and Asymptotic Stability of the Solution for the Timoshenko Transmission System with Distributed Delay

Existence and Asymptotic Stability of the Solution for the Timoshenko Transmission System with Distributed Delay

Longtime dynamics for a type of suspension bridge equation with past history and time delay

Long-Time Dynamics of a Plate Equation with Memory and Time Delay

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