Mathematical Modeling of the State of Dynamical Multiplicatively Nonlinear Systems

摘要

Abstract The author formulates and solves, by the root-mean-square criterion, initial–boundary-value 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.