A boundary value problem of a generalised linear discrete time system\n with no solutions and infinitely many solutions

2016/10/26 by Nicholas Apostolopoulos, Apostolopoulos, Nicholas, Fernando Ortega +3
Mathematics · #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1610.08277

openalex publication_date 2016/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we study a class of generalised linear systems of difference\nequations with given boundary conditions and assume that the boundary value\nproblem is non-consistent, i.e. it has infinite many or no solutions. We take\ninto consideration the case that the coefficients are square constant matrices\nwith the leading coefficient singular and provide optimal solutions. Numerical\nexamples are given to justify our theory.\n

Citations

• Causality of singular linear discrete time systems
• The case of a generalised linear discrete time system with infinite many solutions

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