Stability of a growing viscoelastic rod subjected to aging
type: Item
instance of: scholarly article
title: Stability of a growing viscoelastic rod subjected to aging
zbMATH Open document ID: 0626.73025
DOI: 10.1016/0021-8928(86)90089-4
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The stability of a compressed growing rod of viscoelastic material that possesses the property of aging is investigated. In conformity with the Chatayev definition of stability of dynamic systems and the Lyapunov method described by the author, ibid. 49, 648-654 (1985; Zbl 0604.73036), stability conditions are obtained for a rod growing during a finite time interval, and in finite and semi-infinite time intervals.
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 4018476
zbMATH Keywords: selfadjoint boundary value problem
zbMATH Keywords: perturbations
zbMATH Keywords: compressed growing rod
zbMATH Keywords: Chatayev definition of stability of dynamic systems
zbMATH Keywords: Lyapunov method
zbMATH Keywords: finite time interval
zbMATH Keywords: semi-infinite time intervals
author: Vadim D. Potapov
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90089-4
OpenAlex ID: W2004692725
cites work: Q3309181
cites work: Stability of bodies made of nonhomogeneously aging anisotropic, viscoelastic material
cites work: Q3662695
cites work: Q5599957
cites work: Q3719942
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description: scientific article; zbMATH DE number 4018476