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Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping

Abdelbaki Choucha, Salah Boulaaras

2021Boundary Value Problems21 citationsDOIOpen Access PDF

Abstract

Abstract A nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.

Topics & Concepts

ViscoelasticityMathematicsMathematical analysisNonlinear systemTaylor seriesPhysicsThermodynamicsQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems
Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping | Litcius