On Problems of Mathematical Modeling of the Dynamics of Partially Determined at Initial-Boundary Perturbations Distributed Spatio-Temporal Processes

摘要

Analytical dependences of the state function of a linearly distributed dynamic process are constructed. The differential model of this process is supplemented with discretely and partially determined initial-boundary observations of it. Mean square estimations of consistency of obtained solution with outer dynamical information about the process are given. The conditions of the uniqueness of solution are determined. The results of its practical implementation are discussed.