On the Solvability of Nonlinear Differential Equations Subject to Generalized Boundary Conditions
Analysis of PDEs
2019-03-05 v1
Abstract
In this paper, we analyze nonlinear differential equations subject to generalized boundary conditions. More specifically, we provide a framework from which we can provide conditions, which are straightforward to check, for the solvability of a large number of nonlinear scalar boundary value problems. We begin by giving our general strategy which involves the reformulation of our boundary value problem as an operator equation. We then proceed to establish our results and compare them to closely related previous work.
Keywords
Cite
@article{arxiv.1903.01250,
title = {On the Solvability of Nonlinear Differential Equations Subject to Generalized Boundary Conditions},
author = {Benjamin Freedman and Jesús Rodríguez},
journal= {arXiv preprint arXiv:1903.01250},
year = {2019}
}