Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations
Abstract
**Please note that the full text is embargoed** ABSTRACT: A parameter imbedding method for nonlinear Fredholm integral equations produces a Cauchy system involving the solution of the integral equation and
an associated resolvent kernel. For such Cauchy systems sufficient conditions are given to guarantee local existence and uniqueness of solutions.
A Picard type theorem utilizing a Lipschitz condition is obtained. This result then yields the validation of the Cauchy system.