Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays
Copyright policy )Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays
Summary: In this paper, we consider a coupled Lamé system with a viscoelastic damping in the first equation and two strong discrete time delays. We prove its existence by using the Faedo-Galerkin method and establish an exponential decay result by introducing a suitable Lyapunov functional.
Lyapunov function, Stability of topological dynamical systems, delay term, Linear constitutive equations for materials with memory, Stability in context of PDEs, Lamé system, coupled system, Initial-boundary value problems for second-order hyperbolic systems
Lyapunov function, Stability of topological dynamical systems, delay term, Linear constitutive equations for materials with memory, Stability in context of PDEs, Lamé system, coupled system, Initial-boundary value problems for second-order hyperbolic systems
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