Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms
Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane
Abstract
In this paper, we consider a coupled Lame system with the presence of distributed delay term, viscoelastic, and logarithmic source terms. We describe an exponential decay of solutions, where an asymptotic stability result of global solution is obtained. This study is an extension to Boulaaras' work in Applicable Analysis (2019), 1–19.
Topics & Concepts
Exponential stabilityLogarithmMathematicsViscoelasticityExponential decayExponential functionExtension (predicate logic)Term (time)Work (physics)Exponential growthMathematical analysisStability (learning theory)Applied mathematicsControl theory (sociology)PhysicsComputer scienceProgramming languageQuantum mechanicsNuclear physicsNonlinear systemArtificial intelligenceMachine learningThermodynamicsControl (management)Stability and Controllability of Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering