Monotone iterative methods for a general class of discrete boundary value problems

Abstract

In this paper we shall offer comparison results as well as monotone iterative schemes for the construction of solutions to a very general class of discrete boundary value problems. The discrete system we consider includes in particular the nth order prototype systems, finite as well as infinite discrete delay equations, and discrete integral equations. Further, the boundary conditions we consider include the initial, terminal, periodic and transport type problems. Numerical examples illustrating the usefulness of the proposed schemes to a variety of boundary value problems are also included. © 1994.