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In this study, a problem related with management functions for boundry and Cauchy problems in linear integro-differential systems having Fredholm Integrals is taken in hand and the solution is done with the help of using minimum Power.
In this article the line.r integral equation of Fredgolm-Stilties of the first kind is given. Using the method proposed in A. Asanov, estimates and stability built on M.M.Lavrentev regularizing operator for solving singularly perturbed integral equations of the first kind. The questions of uniqueness of solution of the integral equation and prove a theorem about the sustainability assessment solutions in the classroom L-2.