MONOTONE ITERATIVE METHODS FOR A GENERAL-CLASS OF DISCRETE BOUNDARY-VALUE-PROBLEMS

In this paper we shall offer comparison results as well as monotone it erative schemes for the construction of solutions to a very general cl ass of discrete boundary value problems. The discrete system we consid er includes in particular the nth order prototype systems, finite as w ell as infinite discrete delay equations, and discrete integral equati ons. Further, the boundary conditions we consider include the initial, terminal, periodic and transport type problems. Numerical examples il lustrating the usefulness of the proposed schemes to a variety of boun dary value problems are also included.