Investigation Of The Solution Of The Homogeneous fredholm Integral Equation Of Second Kind With the Help Of The Fourier Series

摘要

When an integral equation is solved by using any method, the obtaining results are known as solution of the integral equation. If the integral equation is solved by using the Fourier series then its solution is called Fourier series solution of the integral equation and this solution represents a stationary signal. Usually integral equation is solved by the successive approximation method and the resolvent kernel in which obtaining this solution do not appear Fourier series type and this solution does not represent a stationary signal. In this paper, our main goal is to determine the solution of the homogeneous Fredholm integral equation of second kind by using the Fourier series.