Solution of a Weakly Delayed Difference System

Abstract

The paper solves a weakly delayed difference systém x(k+1) = Ax(k)+Bx(k-1) where k = 0;1; : : : , A = (ai j)3 i; j=1, B = (bi j)3i ; j=1 are constant matrices. An explicit solution is given with a discussion on the number of independent initial data.