Generalized solution of boundary value problem with an inhomogeneous boundary condition

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. Approximatesolutions of the boundary value problem are determined and their convergence to the exactsolution is proved.

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