A note on the polynomial-like iterative equations order

TL;DR

This paper demonstrates that, under certain conditions, it is possible to remove two negative roots from the characteristic equation of polynomial-like iterative equations, potentially reducing their order.

Contribution

It introduces a new method for lowering the order of polynomial-like iterative equations by eliminating negative roots under specific assumptions.

Findings

Negative roots can be eliminated under certain conditions

Order of polynomial-like iterative equations can be reduced

Provides a new approach for simplifying such equations

Abstract

We show that, under reasonable assumptions, two negative roots can be eliminated from the characteristic equation of a polynomial-like iterative equation. This result gives a new case where we may lower the order of such an equation.