Abstract

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 f1=f2=0.

Details

Title
Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents
Author
Boulaaras, Salah 1 ; Choucha, Abdelbaki 2 ; Ouchenane, Djamel 3 ; Jan, Rashid 4 

 Qassim University, Department of Mathematics, College of Science, Buraydah, Saudi Arabia (GRID:grid.412602.3) (ISNI:0000 0000 9421 8094) 
 Amar Teleji Laghouat University, Department of Material Sciences, Faculty of Sciences, Laghouat, Algeria (GRID:grid.440472.1); Ghardaia University, Laboratory of Mathematics and Applied Sciences, Ghardaia, Algeria (GRID:grid.442442.0) (ISNI:0000 0004 1786 1341) 
 Laghouat University, Departement of Mathematics, Laboratory of Pure and Applied Mathematics, Laghouat, Algeria (GRID:grid.440472.1) 
 Universiti Tenaga Nasional (UNITEN), Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Kajang, Malaysia (GRID:grid.484611.e) (ISNI:0000 0004 1798 3541); Near East University TRNC, Mathematics Research Center, Nicosia, Turkey (GRID:grid.412132.7) (ISNI:0000 0004 0596 0713); Al-Ayen University, Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Nasiriyah, Iraq (GRID:grid.412132.7) 
Pages
55
Publication year
2024
Publication date
Dec 2024
Publisher
Springer Nature B.V.
ISSN
10255834
e-ISSN
1029242X
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3037198369
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.