Publication: 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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Date
2024
Authors
Boulaaras S.
Choucha A.
Ouchenane D.
Jan R.
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
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. ? The Author(s) 2024.