Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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


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