ftp ejde.math.txstate.edu OSCILLATION CRITERIA FOR FIRST-ORDER SYSTEMS OF LINEAR DIFFERENCE EQUATIONS

Abstract. In this article, we obtain conditions for the oscillation of vector solutions to the first-order systems of linear difference equations x(n+ 1) = a(n)x+ b(n)y y(n+ 1) = c(n)x+ d(n)y and x(n+ 1) = a(n)x+ b(n)y + f1(n) y(n+ 1) = c(n)x+ d(n)y + f2(n) where a(n), b(n), c(n), d(n) and fi(n), i = 1, 2 are real valued functions defined for n ≥ 0. 1