Existence and uniqueness of solutions for first-order discrete systems

M. Mokhtar, M. Mesliza, N.H.S. Ismail, A.A. Nassir, A.H.M Nor, S.Z. Abidin

This paper deals with the existence and uniqueness of solutions to two-point boundary value problems for first-order discrete systems. The approach is based on the fixed point theorems of Perov and Schauder. The novelty of this paper is that this approach is combined with the technique that uses convergent to zero matrices and vector norms for treating discrete systems. Two examples are presented to illustrate the theory.