Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents

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 resu...

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Bibliographic Details
Main Authors: Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Rashid Jan
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:Journal of Inequalities and Applications
Subjects:
Viscoelastic equation
Partial differential equations
Blow up
Exponential growth
General decay
Distributed delay term
Online Access:https://doi.org/10.1186/s13660-024-03132-2

Internet

https://doi.org/10.1186/s13660-024-03132-2

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