Blow‐up and decay of solutions for a viscoelastic Kirchhoff‐type equation with distributed delay and variable exponents
Abdelbaki Choucha, Salah Boulaaras, Rashid Jan, Rabab Alharbi
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 .
Topics & Concepts
MathematicsViscoelasticityType (biology)Variable (mathematics)Mathematical analysisPhysicsThermodynamicsEcologyBiologyStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis