- Manas Fen Bilimleri Dergisi
- Vol: 7 Issue: 2
- Generalized solution of boundary value problem with an inhomogeneous boundary condition
Generalized solution of boundary value problem with an inhomogeneous boundary condition
Authors : Elmira Abdyldaeva, Gulbarchyn Taalaibek Kyzy, Bermet Anarkulova
Pages : 157-165
View : 31 | Download : 42
Publication Date : 2019-12-25
Article Type : Research
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