On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay
Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane, Salem Alkhalaf, Ibrahim Mekawy, Mohamed Abdalla
Abstract
This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.
Topics & Concepts
Exponential stabilityExponential decayViscoelasticityExponential functionExponential growthMathematical analysisEnergy methodStability (learning theory)MathematicsEnergy (signal processing)Galerkin methodControl theory (sociology)PhysicsApplied mathematicsComputer scienceNonlinear systemQuantum mechanicsThermodynamicsArtificial intelligenceControl (management)StatisticsMachine learningStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Dynamics and Pattern Formation