We investigate the problem of minimax estimation of unknown right-hand sides of equations entering into the statement of Neumann boundary value problems for the equations of linear elasticity under the assumption that unknown deterministic data of these problems as well as the statistical characteristics of noises in observations are subjected to certain quadratic restrictions. We obtain the representations for the minimax estimates of functionals from right-hand sides of equations and boundary conditions of these problems and for estimation errors via solutions of uniquely solvable systems of integro-differential equations of special form.

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[4] Pertsov A.S. Minimax estimation of unknown data of a boundary value problem for a biharmonic equation with Neman type boundary conditions // Tavricheskiy Vestnik Informatics and Mathematics. - 2009. - №1. - P. 103-112.