Asymptotic solutions of integral equations with a convolution kernel. I

Source abstract

Homogeneous eigenvalue problems for integral equations with a kernel of the convolution type, defined on a finite volume in N-dimensional space, are discussed. It is shown that they can be reduced asymptotically to eigenvalue problems for simpler integral equations. The integral equations to be derived also yield the asymptotic solution of the inhomogeneous problem for the original integral equations.