Blow-up of solutions for a quasilinear system with degenerate damping terms

Salah Boulaaras; Abdelbaki Choucha; Praveen Agarwal; Mohamed Abdalla; Sahar Ahmed Idris

doi:10.1186/s13662-021-03609-0

Blow-up of solutions for a quasilinear system with degenerate damping terms

Salah Boulaaras
, Abdelbaki Choucha
, Praveen Agarwal
, Mohamed Abdalla
, Sahar Ahmed Idris

Qassim University
University of Oran 1 Ahmed Ben Bella
University of El Oued
International College of Engineering
King Khalid University
South Valley University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).

Original language	English
Article number	446
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03609-0
State	Published - Dec 2021
Externally published	Yes

Keywords

Blow-up
Distributed delay
Strong damping
Viscoelastic equation

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10.1186/s13662-021-03609-0

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abstract = "In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras{\textquoteright} works (Bull. Malays. Math. Sci. Soc. 43:725{\textendash}755, 2020) and (Appl. Anal. 99:1724{\textendash}1748, 2020).",

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AU - Choucha, Abdelbaki

AU - Agarwal, Praveen

AU - Abdalla, Mohamed

AU - Idris, Sahar Ahmed

PY - 2021/12

Y1 - 2021/12

N2 - In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).

AB - In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).

KW - Blow-up

KW - Distributed delay

KW - Strong damping

KW - Viscoelastic equation

UR - https://www.scopus.com/pages/publications/85116851608

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DO - 10.1186/s13662-021-03609-0

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JO - Advances in Difference Equations

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ER -

Blow-up of solutions for a quasilinear system with degenerate damping terms

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Keywords

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