Exact treatment of operator difference equations with nonconstant noncommutative coefficients
Mathematical Physics
2012-12-12 v2 math.MP
Abstract
In this paper we study in a Hilbert space a homogeneous linear second order difference equation with nonconstant and noncommuting operator coefficients. We build its exact resolutive formula consisting in the explicit non-iterative expression of a generic term of the unknown sequence of vectors of the Hilbert space. Some non-trivial applications are reported with the aim of showing the usefulness and the broad applicability of our result.
Cite
@article{arxiv.1206.5899,
title = {Exact treatment of operator difference equations with nonconstant noncommutative coefficients},
author = {M. A. Jivulescu and A. Messina},
journal= {arXiv preprint arXiv:1206.5899},
year = {2012}
}
Comments
accepted for publication in Journal of Engineering Mathematics