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.
