Factorization method for second order functional equations

TL;DR

This paper extends the factorization method to second order functional equations using difference calculus, demonstrating its effectiveness and invariance under variable changes with practical examples.

Contribution

It introduces a novel application of the factorization method to second order functional equations, highlighting its invariance properties and providing illustrative examples.

Findings

Factorization method successfully applied to second order functional equations.

Method is invariant under change of variables.

Examples demonstrate practical applicability.

Abstract

We apply general difference calculus in order to obtain solutions to the functional equations of the second order. We show that factorization method can be successfully applied to the functional case. This method is equivariant under the change of variables. Some examples of applications are presented.