Oscillation Theory for Linear Second-Order Differential Systems

摘要

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 function on (a,infinity), whose values are real symmetric matrices of order n. It is shown that the solution is oscillatory at infinity if the largest eigenvalue of the matrix integral /sub a/ Q(t) dt is sufficiently large on a sufficiently large set of t-values. 11 refs. (ERA citation 13:002724)