UDC 519.7
1 Space Research Institute of the National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kyiv, Ukraine
 v.f.gubarev@gmail.com
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PROBLEMS OF MATHEMATICAL DATA INTERPRETATION.
II. DISTRIBUTED PARAMETER SYSTEMS
Abstract. The problem of mathematical interpretation of experimental data is considered for distributed parameter system with the use of models supposed to be adequate to the objects under study. For linear systems, on the basis of Green functions, theoretical foundations are developed, which allow setting different inverse problems associated with the interpretation problem. Many of them are treated as ill-posed. So, regularized procedures that make it possible to find approximate solutiond consistent with errors in available data are recommended and described. In this connection, representation of the model class in the form of expansionsthat asymptotically approach the exact description is important. Constructive algorithms to solve interpretation problem are given.
Keywords: interpretation problem, assimilation data, inverse problems, distributed systems, regularization, identification, asymptotic models.
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