Nonlinear stochastic dynamical systems in physical problems. (English) Zbl 0582.60067

Adomian, G.

J. Math. Anal. Appl. 111, 105-113 (1985).

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.

Reviewer: D.Bobrowski

MSC:

60H25

Random operators and equations (aspects of stochastic analysis)

Keywords:

decomposition method; Green’s function

References:

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