Publication: Blow-up and decay of solutions for a viscoelastic Kirchhoff-type equation with distributed delay and variable exponents
Date
2024
Authors
Choucha A.
Boulaaras S.
Jan R.
Alharbi R.
Journal Title
Journal ISSN
Volume Title
Publisher
John Wiley and Sons Ltd
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 (Formula presented.). ? 2024 John Wiley & Sons, Ltd.
Description
Keywords
Nonlinear equations , Blow-up , Blow-up of solution , Decay of solutions , Distributed delay term , Distributed delays , General decay , Kirchhoff , Nonlinear visco-elastic , Variable exponents , Viscoelastics , Viscoelasticity