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System Analysis and Control

The developed theory of boundary problems for the mathematical physics equations in Sobolev function classes is the bright example of the functional analysis results application. The results that are obtained in this theory, are indebted to a large extent to existence of invariant Lebesgue measure. The reformulation of the well-known results in the terms of noninvariant measure is important for the transfer of classical results to the case of infinite-dimensional argument spaces and to the case of functions, that are defined on nonlinear manifold. This topic have the extension to the PHD research.