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Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations

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Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations

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Title: Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations
Author: Lord, M. E.
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.
URI: http://hdl.handle.net/10106/2218
Date: 1979-04

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