Quarterly of Applied Mathematics · 1996 · 93 citations · 19 references
Natural SciencesMathematicsMechanical EngineeringDifferential EquationsDynamical SystemsFluid DynamicsBoundary ConditionsEigenvalue ProblemsKernel MethodsOperator TheoryPartial Differential EquationsStability TheoryExponential StabilityLinear ViscoelasticityOperator SemigroupsViscoelastic Effects
The exponential stability of the semigroup associated with one-dimensional linear viscoelastic and thermoviscoelastic equations with several types of boundary conditions is proved for a class of kernel functions, including the weakly singular kernels.
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