Numerical Solutions of Non-Uniquely Solvable Integral Equations Using Finite Rank Modifications

摘要

The author's research has produced a new method for the approximation of eigenfunctions and generalized eigenfunctions of a type of integral operator by using finite rank perturbations: Research continues on the development of a numerical procedure for solving Fredholm integral equations of the second kind that have no unique solution by employing the same type of finite rank modification.