Oscillation of linear second-order differential systems

This article is concerned with the oscillatory behavior at infinity of the solution y:(a, infinity) ..-->.. R/sup n/ of a system of second-order differential equations, y''(t) + Q(t)y(t) = 0, t epsilon (a, infinity); Q is a continuous matrix-valued function on (a, infinity) whose values are real symmetric matrices of order n; it is assumed that the largest eigenvalue of the matrix integral/sub a//sup t/Q(s)ds tends to infinity as t ..-->.. infinity. Various sufficient conditions are given which guarantee oscillatory behavior at infinity; these conditions generalize those of Mingarelli. 10 references.