CONSTRUCTING INTEGRAL MATHEMATICAL MODELS OF TWO CLASSES OF NONLINEAR SPATIALLY DISTRIBUTED SYSTEMS. Ⅰ. THE CASE OF DISCRETELY DEFINED EXTERNAL-DYNAMIC PERTURBATIONS

摘要

Problems of pseudoinversion of nonlinear differential models of spatially distributed dynamic systems are solved. Systems whose nonlinearity is formed by the product of linear differential transformations of the function of system's state or by replacing the coefficients of linear approximation by these transformations are considered. Analytic dependences of the function of system's state on discretely defined values of external-dynamic factors are constructed.