Semigroup Theory and Numerical Approximation for Equations in Linear Viscoelasticity

DOI10.1137/0521021zbMath0688.65080OpenAlexW2038828737MaRDI QIDQ4207551

Kazufumi Ito, Richard H. Fabiano

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521021

zbMATH Keywords

convergenceeigenvalueabstract Cauchy problemHilbert spacewell-posednesslinear viscoelasticitysemigroup theorytransverse vibrationsviscoelastic beams

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Groups and semigroups of linear operators (47D03) Dynamical problems in solid mechanics (74Hxx)

Related Items (9)

Numerical solutions for a class of differential equations in linear viscoelasticity ⋮ Infinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert Spaces ⋮ On the type of \(C_ 0\)-semigroup associated with the abstract linear viscoelastic system ⋮ A new approach to abstract linear viscoelastic equation in Hilbert space ⋮ Energy decay and global attractors for thermoviscoelastic systems ⋮ The Trotter-Kato theorem and approximation of PDEs ⋮ Uniform Asymptotic Stability Via Liapunov-Razumikhin Technique ⋮ Uniformly stable approximation for a linear viscoelastic model ⋮ Global existence of the higher-dimensional linear system of thermoviscoelasticity

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