Algebraic analysis of linear systems with double type of perturbations

Abstract

Linear systems under the influence of nonlinear and random linear perturbations, and with random initial and boundary conditions, are discussed. The notion of states of a system is substituted by the notion of the generating vectors for n-point information (n-pi), n=0,1,2,..., characterizing a system at different space-time points. A complete system of equations for physical n-pi are derived and certain universal expansions are proposed.