Integral Equation’s

Abstract

In this research, we studied a number of aspects of the integral equations. In chapter one we introduce the kernel an integral operator and symmetric integral transformations and also how to find eigenvalues in the integral operator. In chapter tow we define differential operator and adjoint operator and their respective fields and also differential operator from second-order, and the symmetry faithfully to the ideals of some of the non-homogeneous problems and how to solve them. In chapter three we have some applications to eigenfunction and use a Green's function assigned to the processes to resolve its issues and also halt to clarify the representation of spectra and the Green's functions, and finally in chapter Four studied the classification and division of integral equations and the successive approximation methods for the solution processes and representation and equivalence with differential equations and we got a replacement Fredholm.