An approximation framework for equations in linear viscoelasticity with strongly singular kernels

Authors:
R. H. Fabiano and K. Ito

Journal:
Quart. Appl. Math. **52** (1994), 65-81

MSC:
Primary 34K30; Secondary 45K05, 47D06, 47N20, 65R20, 73F15

DOI:
https://doi.org/10.1090/qam/1262320

MathSciNet review:
MR1262320

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we consider equations that arise in linear viscoelastic models. Within the context of linear semigroup theory we present an approximation framework for these equations. A relevant convergence result is proved using the Trotter-Kato theorem. This work extends previous results that did not apply to equations with strongly singular kernels.

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Additional Information

DOI:
https://doi.org/10.1090/qam/1262320

Article copyright:
© Copyright 1994
American Mathematical Society