The stability of motion of a stochastic viscoelastic system
type: Item
instance of: scholarly article
title: The stability of motion of a stochastic viscoelastic system
zbMATH Open document ID: 0790.73035
DOI: 10.1016/0021-8928(93)90132-6
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-04-10T00:00:00Z
review text: The sufficient conditions for stability are obtained for the null solution of a system of integro-differential equations under rather general assumptions on the kernels of the integral operators and the form of the stochastic coefficients. Similar conditions of stability are also found for the case of an exponential kernel and stochastic coefficients in the form of Gaussian white noise in order to find a broader stability domain in the system parameter space. The stability of a viscoelastic system is considered in probabilistic terms.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74Hxx
Mathematics Subject Classification ID: 74H50
zbMATH DE Number: 525544
zbMATH Keywords: sufficient conditions
zbMATH Keywords: null solution
zbMATH Keywords: system of integro-differential equations
zbMATH Keywords: exponential kernel
zbMATH Keywords: Gaussian white noise
author: Vadim D. Potapov
MaRDI profile type: Publication
full work available at URL: 0021-8928(93)90132-6
OpenAlex ID: W2064176699
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description: scientific article; zbMATH DE number 525544