On decay and blow-up of solutions for a system of equations

He, Luofei

doi:10.1080/00036811.2019.1689562

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2024

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Cited by 5 publications

(2 citation statements)

References 12 publications

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“…Now, we state the local existence theorem that can be established by combining arguments of [13,16]. Theorem 1.…”

Section: Preliminariesmentioning

confidence: 99%

See 1 more Smart Citation

Blow‐Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term

et al. 2021

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“…Now, we state the local existence theorem that can be established by combining arguments of [13,16]. Theorem 1.…”

Section: Preliminariesmentioning

confidence: 99%

“…ere are several works in case (η � 0), where the authors have studied the blow-up of solutions of problem (3) (for example, see [3,[7][8][9][10][11][12]). For a coupled system, He [13] considered the following problem:…”

Section: Introductionmentioning

confidence: 99%

Blow‐Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term

et al. 2021

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Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms

Ekinci

Pışkın

Boulaaras

et al. 2021

Journal of Function Spaces

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Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

Boulaaras,

Choucha,

Ouchenane

et al. 2024

J Inequal Appl

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In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term $f_{1}=f_{2}=0$ f 1 = f 2 = 0 .

show abstract

On decay and blow-up of solutions for a system of equations

Cited by 5 publications

References 12 publications

Blow‐Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term

Blow‐Up of Solutions for a Coupled Nonlinear Viscoelastic Equation with Degenerate Damping Terms: Without Kirchhoff Term

Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms

Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

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