Nonlinear stochastic dynamical systems in physical problems
type: Item
instance of: scholarly article
title: Nonlinear stochastic dynamical systems in physical problems
zbMATH Open document ID: 0582.60067
DOI: 10.1016/0022-247X(85)90203-3
author: B. George
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: A lot of nonlinear equations (important in physics) has the form \({\mathcal F}y=x(t,\omega)\), where x(t,\(\omega)\) is a stochastic process. Such equations can be solved by decomposition into deterministic and stochastic parts as well as into linear and nonlinear parts of the operator \({\mathcal F}\). The case when there exists Green's function for the deterministic linear part is considered in particular.
Mathematics Subject Classification ID: 60H25
zbMATH DE Number: 3932138
zbMATH Keywords: decomposition method
zbMATH Keywords: Green's function
MaRDI profile type: Publication
cites work: Inversion of nonlinear stochastic operators
cites work: Stochastic systems
cites work: A convenient computational form for the Adomian polynomials
cites work: Convergent series solution of nonlinear equations
cites work: Q3480862
full work available at URL: 0022-247x(85)90203-3
OpenAlex ID: W2091992750
description: scientific article; zbMATH DE number 3932138