The case of a generalised linear discrete time system with infinite many solutions

Abstract

In this article we study a class of generalised linear systems of difference equations with given non-consistent initial conditions and infinite many solutions. We take into consideration the case that the coefficients are square constant matrices with the leading coefficient singular. We provide optimal solutions and numerical examples to justify our theory.

arXiv admin note: text overlap with arXiv:1512.04740

References in corpus (1)

• Solutions of Higher Order Homogeneous Linear Matrix Differential Equations: Singular Case

Cited by in corpus (3)

• A boundary value problem of a generalised linear discrete time system with no solutions and infinitely many solutions
• On stability of generalised systems of difference equation with non-consistent initial conditions
• Optimal equilibrium for a reformulated Samuelson economical model