A boundary value problem of a generalised linear discrete time system with no solutions and infinitely many solutions
arXiv:1610.08277
Abstract
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, i.e. it has infinite many or no solutions. We take into consideration the case that the coefficients are square constant matrices with the leading coefficient singular and provide optimal solutions. Numerical examples are given to justify our theory.
arXiv admin note: substantial text overlap with arXiv:1610.00927; substantial text overlap with arXiv:1510.07438 by other authors