7 citations · 18 across the 5 of their papers we have counts for
5 papers
The Samuelson's model as a singular discrete time system
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
In this paper we revisit the famous classical Samuelson's multiplier-accelerator model for national economy. We reform this model into a singular discrete time system and study its…
On stability of generalised systems of difference equation with non-consistent initial conditions
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
For given non-consistent initial conditions, we study the stability of a class of generalised linear systems of difference equations with constant coefficients and taking into acco…
A boundary value problem of a generalised linear discrete time system with no solutions and infinitely many solutions
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
In this article we study a class of generalised linear systems of difference equations with given boundary conditions and assume that the boundary value problem is non-consistent,…
The case of a generalised linear discrete time system with infinite many solutions
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
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 consid…
Causality of singular linear discrete time systems
Nicholas Apostolopoulos, Fernando Ortega, Grigoris Kalogeropoulos
We consider two type of systems, a linear singular discrete time system and a linear singular fractional discrete time system whose coefficients are square constant matrices. By as…