Blow‐up and decay of solutions for a viscoelastic Kirchhoff‐type equation with distributed delay and variable exponents-Reference-Cited by-同舟云学术

Blow‐up and decay of solutions for a viscoelastic Kirchhoff‐type equation with distributed delay and variable exponents

Published:2024-02-15 Issue:8 Volume:47 Page:6928-6945
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Choucha Abdelbaki¹^ORCID,Boulaaras Salah²^ORCID,Jan Rashid³^ORCID,Alharbi Rabab²^ORCID

Affiliation:

1. Department of Material Sciences, Faculty of Sciences Amar Teleji Laghouat University Laghouat Algeria

2. Department of Mathematics, College of Science Qassim University Buraydah Saudi Arabia

3. Department of Civil Engineering, College of Engineering, Institute of Energy Infrastructure (IEI) Universiti Tenaga Nasional (UNITEN) Selangor, Kajang Malaysia

Abstract

In this article, we focussed on a nonlinear viscoelastic Kirchhoff‐type equation with distributed delay and variable‐exponents. The blow‐up solutions of the problem are proved under suitable hypothesis, and by using an integral inequality due to Komornik, the general decay outcome is obtained in the case .

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9950

Reference20 articles.

1. General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity

2. General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms

3. General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term

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