Abstract:
The article considers the start control and the final observation of solutions to the Showalter – Sidorov problem for the mathematical model of an I-beam deformation. We construct the sufficient conditions for the existence of the start control and the final observation by weak generalized solutions of the considered model with the initial Showalter – Sidorov condition. Based on the theoretical results, we construct the algorithm of the numerical method to solve the problem of start control and final observation for the model of an I-beam deformation. The results of computational experiments are presented.
Keywords:Sobolev type equation, problem of start control and final observation, model of I-beam deformation, the Galerkin method, decomposition method.
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