English

On Weakly Nonlinear Boundary Value Problems on Infinite Intervals

Classical Analysis and ODEs 2020-02-03 v1

Abstract

In this paper, we study weakly nonlinear boundary value problems on infinite intervals. For such problems, we provide criteria for the existence of solutions as well as a qualitative description of the behavior of solutions depending on a parameter. We investigate the relationship between solutions to these weakly nonlinear problems and the solutions to a set of corresponding linear problems.

Keywords

Cite

@article{arxiv.2001.11615,
  title  = {On Weakly Nonlinear Boundary Value Problems on Infinite Intervals},
  author = {Benjamin Freedman and Jesus Rodriguez},
  journal= {arXiv preprint arXiv:2001.11615},
  year   = {2020}
}
R2 v1 2026-06-23T13:25:56.704Z