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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