UDC 519.6
MATHEMATICAL MODELING OF THE STATE OF DYNAMIC MULTIPLICATIVE
NONLINEAR SYSTEMS
Abstract. The author formulates and solves, by the root-mean-square criterion, the initial–boundary-problems of the dynamics of nonlinear spatially distributed systems. Systems whose mathematical model is generated by the product of two or more differential transformations of their functions of state are considered. Analytical dependencies of this function are constructed in the presence of their discretely and continuously defined initial-boundary observations, without constraints for the number and quality of the latter. The accuracy of the sets of the obtained solutions is evaluated and their uniqueness is analyzed.
Keywords: nonlinear dynamical systems, systems with uncertainties, systems with distributed parameters, spatially distributed systems, pseudosolutions, ill-posed initial–boundary-value problems.
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