Existence and uniqueness of the modified error function
Classical Analysis and ODEs
2017-01-02 v1
Abstract
This article is devoted to prove the existence and uniqueness of solution to the non-linear second order differential problem through which is defined the modified error function introduced in Cho-Sunderland, J. Heat Transfer, 96-2:214-217, 1974. We prove here that there exists a unique non-negative analytic solution for small positive values of the parameter on which the problem depends.
Keywords
Cite
@article{arxiv.1612.09323,
title = {Existence and uniqueness of the modified error function},
author = {Andrea N. Ceretani and Natalia N. Salva and Domingo A. Tarzia},
journal= {arXiv preprint arXiv:1612.09323},
year = {2017}
}