Singular Perturbations of Integrodifferential Equations in Banach Space

DOI10.2307/2160756zbMath0814.47058OpenAlexW4240026016MaRDI QIDQ4318300

James H. Liu

Publication date: 6 June 1995

Full work available at URL: https://doi.org/10.2307/2160756

zbMATH Keywords

viscoelasticityconvergence conditionssmoothness conditionssingular perturbations of integrodifferential equations

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Abstract integral equations, integral equations in abstract spaces (45N05) Integro-differential operators (47G20)

Related Items

Singular perturbation for Volterra equations of convolution type ⋮ A survey of singularly perturbed Volterra equations ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Singular perturbations in a nonlinear viscoelasticity ⋮ Rigorous results on the asymptotic solutions of singularly perturbed nonlinear Volterra integral equations ⋮ A singular perturbation of the heat equation with memory ⋮ On the exponential decay of waves with memory ⋮ Convergence for hyperbolic singular perturbation of integrodifferential equations ⋮ Singular perturbations of integro-differential equations ⋮ Hyperbolic singular perturbations for integrodifferential equations

Cites Work

• Some considerations for linear integrodifferential equations
• Propagation of singularities for integrodifferential equations
• Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
• Singular perturbations in viscoelasticity
• An integro-differential equation with application in heat flow
• A model for one-dimensional, nonlinear viscoelasticity
• An Abstract Second Order Semilinear Volterra Integrodifferential Equation
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