On well-conditioned boundary value problems for systems of second order difference equations

In this paper well-conditioning of boundary value problems for systems of second order difference equations is studied. First, a sufficient condition for the existence of a unique bounded solution (for large enough number of steps) of an associated homogeneous system is given. Finally, a sufficient condition for well-conditioning, intrinsically related to the problem data is proposed. This work has been partially supported by the “Generalitat Valenciana” grant GV1118/93 and the Spanish D.G.I.C.Y.T. grant PB93-0381.