Homogeneous linear matrix difference equations of higher order: Singular case

2015/10/14 by Charalambos P. Kontzalis, Kontzalis, Charalambos P., Grigoris I. Kalogeropoulos +1
Computer Science · Mathematics · #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1510.04071

openalex publication_date 2015/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we study the singular case of an homogeneous generalized discrete time system with given initial conditions. We consider the matrix pencil singular and provide necessary and sufficient conditions for existence and uniqueness of solutions of the initial value problem.

Related

• The case of a generalised linear discrete time system with infinite many solutions
• Solutions of Higher Order Homogeneous Linear Matrix Differential Equations: Singular Case
• A note on the relation between a singular linear discrete time system and a singular linear system of fractional nabla difference equations
• A boundary value problem of a generalised linear discrete time system\n with no solutions and infinitely many solutions
• Explicitly Solvable Systems of First-Order Difference Equations With\n Homogeneous Polynomial Right-Hand Sides