Generalized solution of boundary value problem with an inhomogeneous boundary condition

Year 2019, Volume: 7 Issue: 2, 157 - 165, 25.12.2019

Elmira Abdyldaeva , Gulbarchyn Taalaibek Kyzy Bermet Anarkulova

Abstract

In this problem, we study the solution to boundary value problem for a controlled oscillation process, described by Fredholm integro-differential equation with an inhomogeneous boundary condition. 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 is proved.

Keywords

Boundary value problem , Boundary control conditıon , Generalized solution , İntegral equation , Fourier series

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