Generalized solution of boundary value problem with an inhomogeneous boundary condition

A solution to boundary value problem is investigated for a controlled oscillation process, described by Fredholm integro-differential equation with inhomogeneous boundary conditions. An algorithm is developed for constructing a generalized solution of boundary value problem. It is proved that a weak generalized solution is an element of Hilbert space. Approximate solutions of the boundary value problem are determined and their convergence to the exact solution is proved.


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