On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity

Authors

  • David W. Reynolds
  • John A. D. Appleby
  • István Györi

DOI:

https://doi.org/10.1285/i15900932v27n2p215

Keywords:

Linear viscoelasticity, Resolvent, Renewal equation, Laplace transform

Abstract

En
The asymptotic behaviour of a scalar linear nonconvolution Volterra equation is investigated; the equation is that satisfied by the modes of a viscoelastic rod bending quasi-statically. A sufficient condition for the trivial solution to be asymptotic stable is given, as well as results on describing the exact rate of decay: in the case that the trivial solution is unstable, the exact rate of growth of solutions is specified.

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Published

01-03-2007

Issue

Volume 27, Issue 2 (2007)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode