Hyers-Ulam stability of certain singular linear differential equations

TL;DR

This paper investigates the Hyers-Ulam stability of specific singular linear differential equations, extending known results to higher-order cases and providing new examples not previously covered.

Contribution

It introduces new stability results for higher-order singular linear differential equations built from first-order factors, including novel examples.

Findings

Established Hyers-Ulam stability for certain first-order singular equations

Extended stability results to higher-order singular equations

Provided a new example of a second-order singular differential equation

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.