English

Hyers-Ulam stability of certain singular linear differential equations

Classical Analysis and ODEs 2013-08-01 v2

Abstract

We establish the Hyers-Ulam stability of certain linear first-order differential equations with singularities. We then extend these results to higher-order singular linear differential equations that can be written with these first-order factors. An example of our results is given for a second-order singular linear differential equation that is not be covered by the current literature in this area.

Keywords

Cite

@article{arxiv.1307.3287,
  title  = {Hyers-Ulam stability of certain singular linear differential equations},
  author = {Douglas R. Anderson and Jenna M. Otto},
  journal= {arXiv preprint arXiv:1307.3287},
  year   = {2013}
}

Comments

12 pages, preliminary report

R2 v1 2026-06-22T00:50:07.345Z