Hyperbolic singular perturbations for integrodifferential equations

DOI10.1016/j.amc.2004.04.003zbMath1074.45009OpenAlexW2055944460MaRDI QIDQ1774868

Jin Liang, James H. Liu, Ti-Jun Xiao

Publication date: 4 May 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.003

zbMATH Keywords

convergenceBanach spaceVolterra integrodifferential equationhyperbolic singular perturbation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (8)

Existence results for some damped second-order Volterra integro-differential equations ⋮ Singular perturbation for Volterra equations of convolution type ⋮ Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Perturbations of Time Optimal Control Problems for Parabolic Integro-Differential 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

Cites Work

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• Some considerations for linear integrodifferential equations
• Propagation of singularities for integrodifferential equations
• The hyperbolic singular perturbation problem: An operator theoretic approach
• On complete second order linear differential equations in Banach spaces
• Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
• The Cauchy problem for higher-order abstract differential equations
• Singular perturbations in viscoelasticity
• On the growth of solutions to second order differential equations in Banach spaces
• An Abstract Second Order Semilinear Volterra Integrodifferential Equation
• Singular Perturbations of Integrodifferential Equations in Banach Space

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