Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On asymptotic stability of nonlinear hereditary phenomena

Authors: J. N. Distéfano and J. L. Sackman
Journal: Quart. Appl. Math. 24 (1966), 133-141
MSC: Primary 73.41
DOI: https://doi.org/10.1090/qam/202372
MathSciNet review: 202372
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Abstract: Conditions for long-term stability of nonlinear hereditary phenomena are derived from two Tauberian theorems. When the hereditary phenomena are time invariable (i.e., of the closed cycle type), then the asymptotic limits of the phenomena are evaluated. An application is made to the investigation of the stability of a rigid column restrained by a nonlinear viscoelastic element.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/202372
Article copyright: © Copyright 1966 American Mathematical Society

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