Document Type
Report
Source Publication Title
Technical Report 104
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.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
4-1-1979
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Lord, M. E., "Existence/Uniqueness and Validation of Parameter Imbedding Equations for Nonlinear Fredholm Integral Equations" (1979). Mathematics Technical Papers. 30.
https://mavmatrix.uta.edu/math_technicalpapers/30