文章基本信息

标题：Direct solutions of linear non-homogeneous difference equations
本地全文：下载
作者：Shu-Wen Pan ; Jia-Qiang Pan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：108
DOI：10.1186/s13662-016-0839-x
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, the authors develop a direct method used to solve the initial value problems of a linear non-homogeneous time-invariant difference equation. In this method, the obtained general term of the solution sequence has an explicit formula, which includes coefficients, initial values, and right-side terms of the solved equation only. Furthermore, the authors find that when the solution sequence has a nonzero first term, it satisfies two adjoint linear recursive equations; this usually shows several new features of the solution sequence.
关键词：backward-shifting matrix ; linear non-homogeneous difference equation ; adjoint recursive relation