A closed form to the general solution of linear difference equations with variable coefficients
Functional Analysis
2014-12-31 v1
Abstract
The determinant of a lower Hessenberg matrix (Hessenbergian) is expressed as a sum of signed elementary products indexed by initial segments of nonnegative integers. A closed form alternative to the recurrence expression of Hessenbergians is thus obtained. This result further leads to a closed form of the general solution for regular order linear difference equations with variable coefficients, including equations of N-order and equations of ascending order.
Cite
@article{arxiv.1412.8521,
title = {A closed form to the general solution of linear difference equations with variable coefficients},
author = {A. G. Paraskevopoulos and M. Karanasos},
journal= {arXiv preprint arXiv:1412.8521},
year = {2014}
}
Comments
16 pages