On a boundary value problem of a class of generalized linear discrete-time systems

Advances in Difference Equations

Ioannis K Dassios¹ 

[1] Department of Mathematics, University of Athens, Panepistimioupolis, Greece

关键词: linear difference equations;    boundary value problem;    matrix pencil;    discrete time system;    matrix difference equations;   

DOI  :  10.1186/1687-1847-2011-51

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we study a boundary value problem of a class of generalized linear discrete-time systems whose coefficients are square constant matrices. By using matrix pencil theory, we obtain formulas for the solutions and we give necessary and sufficient conditions for existence and uniqueness of solutions. Moreover, we provide some numerical examples. These kinds of systems are inherent in many physical and engineering phenomena.

【 授权许可】

CC BY