A uniqueness result on ordinary differential equations with singular coefficients

TL;DR

This paper investigates the uniqueness of solutions to ordinary differential equations with singular coefficients, establishing bounds on the singularity order and illustrating the results with examples.

Contribution

It provides new bounds on the singularity order of coefficients ensuring solution uniqueness in ODEs.

Findings

Derived upper bounds on singularity order for uniqueness

Provided illustrative examples of the bounds

Enhanced understanding of singular coefficient effects

Abstract

We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the the order of singularities of the coefficients and provide examples to illustrate the results.