Exact treatment of linear difference equations with noncommutative coefficients

TL;DR

This paper presents an exact method for solving linear second-order difference equations with constant noncommutative coefficients, providing precise solutions where traditional methods may not apply.

Contribution

It introduces a novel exact solution approach for difference equations with noncommutative coefficients, expanding the analytical tools available for such problems.

Findings

Derived explicit solutions for specific noncommutative cases

Demonstrated the method's applicability to certain classes of difference equations

Provided insights into the structure of solutions with noncommutative coefficients

Abstract

The exact solution of a Cauchy problem related to a linear second-order difference equation with constant noncommutative coefficients is reported.