Generalized solution of boundary value problem with an inhomogeneous boundary condition

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MANAS Journal of Engineering
Volume: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 TAALAİBEK KYZY, Bermet ANARKULOVA

Pages : 157-165

View : 13 | Download : 11

Publication Date : 2019-12-25

Article Type : Research Paper

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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